Actual source code: ex12.c

  1: static char help[] = "Poisson Problem in 2d and 3d with simplicial finite elements.\n\
  2: We solve the Poisson problem in a rectangular\n\
  3: domain, using a parallel unstructured mesh (DMPLEX) to discretize it.\n\
  4: This example supports discretized auxiliary fields (conductivity) as well as\n\
  5: multilevel nonlinear solvers.\n\n\n";

  7: /*
  8: A visualization of the adaptation can be accomplished using:

 10:   -dm_adapt_view hdf5:$PWD/adapt.h5 -sol_adapt_view hdf5:$PWD/adapt.h5::append -dm_adapt_pre_view hdf5:$PWD/orig.h5 -sol_adapt_pre_view hdf5:$PWD/orig.h5::append

 12: Information on refinement:

 14:    -info :~sys,vec,is,mat,ksp,snes,ts
 15: */

 17: #include <petscdmplex.h>
 18: #include <petscdmadaptor.h>
 19: #include <petscsnes.h>
 20: #include <petscds.h>
 21: #include <petscviewerhdf5.h>

 23: typedef enum {
 24:   NEUMANN,
 25:   DIRICHLET,
 26:   NONE
 27: } BCType;
 28: typedef enum {
 29:   RUN_FULL,
 30:   RUN_EXACT,
 31:   RUN_TEST,
 32:   RUN_PERF
 33: } RunType;
 34: typedef enum {
 35:   COEFF_NONE,
 36:   COEFF_ANALYTIC,
 37:   COEFF_FIELD,
 38:   COEFF_NONLINEAR,
 39:   COEFF_BALL,
 40:   COEFF_CROSS,
 41:   COEFF_CHECKERBOARD_0,
 42:   COEFF_CHECKERBOARD_1
 43: } CoeffType;

 45: typedef struct {
 46:   RunType   runType;    /* Whether to run tests, or solve the full problem */
 47:   PetscBool jacobianMF; /* Whether to calculate the Jacobian action on the fly */
 48:   PetscBool showInitial, showSolution, restart, quiet, nonzInit;
 49:   /* Problem definition */
 50:   BCType    bcType;
 51:   CoeffType variableCoefficient;
 52:   PetscErrorCode (**exactFuncs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx);
 53:   PetscBool fieldBC;
 54:   void (**exactFields)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]);
 55:   PetscBool bdIntegral; /* Compute the integral of the solution on the boundary */
 56:   /* Reproducing tests from SISC 40(3), pp. A1473-A1493, 2018 */
 57:   PetscInt  div;   /* Number of divisions */
 58:   PetscInt  k;     /* Parameter for checkerboard coefficient */
 59:   PetscInt *kgrid; /* Random parameter grid */
 60:   PetscBool rand;  /* Make random assignments */
 61:   /* Solver */
 62:   PC        pcmg;     /* This is needed for error monitoring */
 63:   PetscBool checkksp; /* Whether to check the KSPSolve for runType == RUN_TEST */
 64: } AppCtx;

 66: static PetscErrorCode zero(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
 67: {
 68:   u[0] = 0.0;
 69:   return PETSC_SUCCESS;
 70: }

 72: static PetscErrorCode ecks(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
 73: {
 74:   u[0] = x[0];
 75:   return PETSC_SUCCESS;
 76: }

 78: /*
 79:   In 2D for Dirichlet conditions, we use exact solution:

 81:     u = x^2 + y^2
 82:     f = 4

 84:   so that

 86:     -\Delta u + f = -4 + 4 = 0

 88:   For Neumann conditions, we have

 90:     -\nabla u \cdot -\hat y |_{y=0} =  (2y)|_{y=0} =  0 (bottom)
 91:     -\nabla u \cdot  \hat y |_{y=1} = -(2y)|_{y=1} = -2 (top)
 92:     -\nabla u \cdot -\hat x |_{x=0} =  (2x)|_{x=0} =  0 (left)
 93:     -\nabla u \cdot  \hat x |_{x=1} = -(2x)|_{x=1} = -2 (right)

 95:   Which we can express as

 97:     \nabla u \cdot  \hat n|_\Gamma = {2 x, 2 y} \cdot \hat n = 2 (x + y)

 99:   The boundary integral of this solution is (assuming we are not orienting the edges)

101:     \int^1_0 x^2 dx + \int^1_0 (1 + y^2) dy + \int^1_0 (x^2 + 1) dx + \int^1_0 y^2 dy = 1/3 + 4/3 + 4/3 + 1/3 = 3 1/3
102: */
103: static PetscErrorCode quadratic_u_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
104: {
105:   *u = x[0] * x[0] + x[1] * x[1];
106:   return PETSC_SUCCESS;
107: }

109: static void quadratic_u_field_2d(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar uexact[])
110: {
111:   uexact[0] = a[0];
112: }

114: static PetscErrorCode ball_u_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
115: {
116:   const PetscReal alpha   = 500.;
117:   const PetscReal radius2 = PetscSqr(0.15);
118:   const PetscReal r2      = PetscSqr(x[0] - 0.5) + PetscSqr(x[1] - 0.5);
119:   const PetscReal xi      = alpha * (radius2 - r2);

121:   *u = PetscTanhScalar(xi) + 1.0;
122:   return PETSC_SUCCESS;
123: }

125: static PetscErrorCode cross_u_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
126: {
127:   const PetscReal alpha = 50 * 4;
128:   const PetscReal xy    = (x[0] - 0.5) * (x[1] - 0.5);

130:   *u = PetscSinReal(alpha * xy) * (alpha * PetscAbsReal(xy) < 2 * PETSC_PI ? 1 : 0.01);
131:   return PETSC_SUCCESS;
132: }

134: static void f0_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
135: {
136:   f0[0] = 4.0;
137: }

139: static void f0_ball_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
140: {
141:   PetscInt        d;
142:   const PetscReal alpha = 500., radius2 = PetscSqr(0.15);
143:   PetscReal       r2, xi;

145:   for (d = 0, r2 = 0.0; d < dim; ++d) r2 += PetscSqr(x[d] - 0.5);
146:   xi    = alpha * (radius2 - r2);
147:   f0[0] = (-2.0 * dim * alpha - 8.0 * PetscSqr(alpha) * r2 * PetscTanhReal(xi)) * PetscSqr(1.0 / PetscCoshReal(xi));
148: }

150: static void f0_cross_u_2d(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
151: {
152:   const PetscReal alpha = 50 * 4;
153:   const PetscReal xy    = (x[0] - 0.5) * (x[1] - 0.5);

155:   f0[0] = PetscSinReal(alpha * xy) * (alpha * PetscAbsReal(xy) < 2 * PETSC_PI ? 1 : 0.01);
156: }

158: static void f0_checkerboard_0_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
159: {
160:   f0[0] = -20.0 * PetscExpReal(-(PetscSqr(x[0] - 0.5) + PetscSqr(x[1] - 0.5)));
161: }

163: static void f0_bd_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], const PetscReal n[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
164: {
165:   PetscInt d;
166:   for (d = 0, f0[0] = 0.0; d < dim; ++d) f0[0] += -n[d] * 2.0 * x[d];
167: }

169: /* gradU[comp*dim+d] = {u_x, u_y} or {u_x, u_y, u_z} */
170: static void f1_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
171: {
172:   PetscInt d;
173:   for (d = 0; d < dim; ++d) f1[d] = u_x[d];
174: }

176: /* < \nabla v, \nabla u + {\nabla u}^T >
177:    This just gives \nabla u, give the perdiagonal for the transpose */
178: static void g3_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
179: {
180:   PetscInt d;
181:   for (d = 0; d < dim; ++d) g3[d * dim + d] = 1.0;
182: }

184: /*
185:   In 2D for x periodicity and y Dirichlet conditions, we use exact solution:

187:     u = sin(2 pi x)
188:     f = -4 pi^2 sin(2 pi x)

190:   so that

192:     -\Delta u + f = 4 pi^2 sin(2 pi x) - 4 pi^2 sin(2 pi x) = 0
193: */
194: static PetscErrorCode xtrig_u_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
195: {
196:   *u = PetscSinReal(2.0 * PETSC_PI * x[0]);
197:   return PETSC_SUCCESS;
198: }

200: static void f0_xtrig_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
201: {
202:   f0[0] = -4.0 * PetscSqr(PETSC_PI) * PetscSinReal(2.0 * PETSC_PI * x[0]);
203: }

205: /*
206:   In 2D for x-y periodicity, we use exact solution:

208:     u = sin(2 pi x) sin(2 pi y)
209:     f = -8 pi^2 sin(2 pi x)

211:   so that

213:     -\Delta u + f = 4 pi^2 sin(2 pi x) sin(2 pi y) + 4 pi^2 sin(2 pi x) sin(2 pi y) - 8 pi^2 sin(2 pi x) = 0
214: */
215: static PetscErrorCode xytrig_u_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
216: {
217:   *u = PetscSinReal(2.0 * PETSC_PI * x[0]) * PetscSinReal(2.0 * PETSC_PI * x[1]);
218:   return PETSC_SUCCESS;
219: }

221: static void f0_xytrig_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
222: {
223:   f0[0] = -8.0 * PetscSqr(PETSC_PI) * PetscSinReal(2.0 * PETSC_PI * x[0]);
224: }

226: /*
227:   In 2D for Dirichlet conditions with a variable coefficient, we use exact solution:

229:     u  = x^2 + y^2
230:     f  = 6 (x + y)
231:     nu = (x + y)

233:   so that

235:     -\div \nu \grad u + f = -6 (x + y) + 6 (x + y) = 0
236: */
237: static PetscErrorCode nu_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
238: {
239:   *u = x[0] + x[1];
240:   return PETSC_SUCCESS;
241: }

243: static PetscErrorCode checkerboardCoeff(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
244: {
245:   AppCtx  *user = (AppCtx *)ctx;
246:   PetscInt div  = user->div;
247:   PetscInt k    = user->k;
248:   PetscInt mask = 0, ind = 0, d;

250:   PetscFunctionBeginUser;
251:   for (d = 0; d < dim; ++d) mask = (mask + (PetscInt)(x[d] * div)) % 2;
252:   if (user->kgrid) {
253:     for (d = 0; d < dim; ++d) {
254:       if (d > 0) ind *= dim;
255:       ind += (PetscInt)(x[d] * div);
256:     }
257:     k = user->kgrid[ind];
258:   }
259:   u[0] = mask ? 1.0 : PetscPowRealInt(10.0, -k);
260:   PetscFunctionReturn(PETSC_SUCCESS);
261: }

263: void f0_analytic_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
264: {
265:   f0[0] = 6.0 * (x[0] + x[1]);
266: }

268: /* gradU[comp*dim+d] = {u_x, u_y} or {u_x, u_y, u_z} */
269: void f1_analytic_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
270: {
271:   PetscInt d;
272:   for (d = 0; d < dim; ++d) f1[d] = (x[0] + x[1]) * u_x[d];
273: }

275: void f1_field_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
276: {
277:   PetscInt d;
278:   for (d = 0; d < dim; ++d) f1[d] = a[0] * u_x[d];
279: }

281: /* < \nabla v, \nabla u + {\nabla u}^T >
282:    This just gives \nabla u, give the perdiagonal for the transpose */
283: void g3_analytic_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
284: {
285:   PetscInt d;
286:   for (d = 0; d < dim; ++d) g3[d * dim + d] = x[0] + x[1];
287: }

289: void g3_field_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
290: {
291:   for (PetscInt d = 0; d < dim; ++d) g3[d * dim + d] = a[0];
292: }

294: /*
295:   In 2D for Dirichlet conditions with a nonlinear coefficient (p-Laplacian with p = 4), we use exact solution:

297:     u  = x^2 + y^2
298:     f  = 16 (x^2 + y^2)
299:     nu = 1/2 |grad u|^2

301:   so that

303:     -\div \nu \grad u + f = -16 (x^2 + y^2) + 16 (x^2 + y^2) = 0
304: */
305: void f0_analytic_nonlinear_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
306: {
307:   f0[0] = 16.0 * (x[0] * x[0] + x[1] * x[1]);
308: }

310: /* gradU[comp*dim+d] = {u_x, u_y} or {u_x, u_y, u_z} */
311: void f1_analytic_nonlinear_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
312: {
313:   PetscScalar nu = 0.0;
314:   for (PetscInt d = 0; d < dim; ++d) nu += u_x[d] * u_x[d];
315:   for (PetscInt d = 0; d < dim; ++d) f1[d] = 0.5 * nu * u_x[d];
316: }

318: /*
319:   grad (u + eps w) - grad u = eps grad w

321:   1/2 |grad (u + eps w)|^2 grad (u + eps w) - 1/2 |grad u|^2 grad u
322: = 1/2 (|grad u|^2 + 2 eps <grad u,grad w>) (grad u + eps grad w) - 1/2 |grad u|^2 grad u
323: = 1/2 (eps |grad u|^2 grad w + 2 eps <grad u,grad w> grad u)
324: = eps (1/2 |grad u|^2 grad w + grad u <grad u,grad w>)
325: */
326: void g3_analytic_nonlinear_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
327: {
328:   PetscScalar nu = 0.0;
329:   for (PetscInt d = 0; d < dim; ++d) nu += u_x[d] * u_x[d];
330:   for (PetscInt d = 0; d < dim; ++d) {
331:     g3[d * dim + d] = 0.5 * nu;
332:     for (PetscInt e = 0; e < dim; ++e) g3[d * dim + e] += u_x[d] * u_x[e];
333:   }
334: }

336: /*
337:   In 3D for Dirichlet conditions we use exact solution:

339:     u = 2/3 (x^2 + y^2 + z^2)
340:     f = 4

342:   so that

344:     -\Delta u + f = -2/3 * 6 + 4 = 0

346:   For Neumann conditions, we have

348:     -\nabla u \cdot -\hat z |_{z=0} =  (2z)|_{z=0} =  0 (bottom)
349:     -\nabla u \cdot  \hat z |_{z=1} = -(2z)|_{z=1} = -2 (top)
350:     -\nabla u \cdot -\hat y |_{y=0} =  (2y)|_{y=0} =  0 (front)
351:     -\nabla u \cdot  \hat y |_{y=1} = -(2y)|_{y=1} = -2 (back)
352:     -\nabla u \cdot -\hat x |_{x=0} =  (2x)|_{x=0} =  0 (left)
353:     -\nabla u \cdot  \hat x |_{x=1} = -(2x)|_{x=1} = -2 (right)

355:   Which we can express as

357:     \nabla u \cdot  \hat n|_\Gamma = {2 x, 2 y, 2z} \cdot \hat n = 2 (x + y + z)
358: */
359: static PetscErrorCode quadratic_u_3d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
360: {
361:   *u = 2.0 * (x[0] * x[0] + x[1] * x[1] + x[2] * x[2]) / 3.0;
362:   return PETSC_SUCCESS;
363: }

365: static PetscErrorCode ball_u_3d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
366: {
367:   const PetscReal alpha   = 500.;
368:   const PetscReal radius2 = PetscSqr(0.15);
369:   const PetscReal r2      = PetscSqr(x[0] - 0.5) + PetscSqr(x[1] - 0.5) + PetscSqr(x[2] - 0.5);
370:   const PetscReal xi      = alpha * (radius2 - r2);

372:   *u = PetscTanhScalar(xi) + 1.0;
373:   return PETSC_SUCCESS;
374: }

376: static void quadratic_u_field_3d(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar uexact[])
377: {
378:   uexact[0] = a[0];
379: }

381: static PetscErrorCode cross_u_3d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx)
382: {
383:   const PetscReal alpha = 50 * 4;
384:   const PetscReal xyz   = (x[0] - 0.5) * (x[1] - 0.5) * (x[2] - 0.5);

386:   *u = PetscSinReal(alpha * xyz) * (alpha * PetscAbsReal(xyz) < 2 * PETSC_PI ? (alpha * PetscAbsReal(xyz) > -2 * PETSC_PI ? 1.0 : 0.01) : 0.01);
387:   return PETSC_SUCCESS;
388: }

390: static void f0_cross_u_3d(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
391: {
392:   const PetscReal alpha = 50 * 4;
393:   const PetscReal xyz   = (x[0] - 0.5) * (x[1] - 0.5) * (x[2] - 0.5);

395:   f0[0] = PetscSinReal(alpha * xyz) * (alpha * PetscAbsReal(xyz) < 2 * PETSC_PI ? (alpha * PetscAbsReal(xyz) > -2 * PETSC_PI ? 1.0 : 0.01) : 0.01);
396: }

398: static void bd_integral_2d(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], const PetscReal n[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *uint)
399: {
400:   uint[0] = u[0];
401: }

403: static PetscErrorCode ProcessOptions(MPI_Comm comm, AppCtx *options)
404: {
405:   const char *bcTypes[3]    = {"neumann", "dirichlet", "none"};
406:   const char *runTypes[4]   = {"full", "exact", "test", "perf"};
407:   const char *coeffTypes[8] = {"none", "analytic", "field", "nonlinear", "ball", "cross", "checkerboard_0", "checkerboard_1"};
408:   PetscInt    bc, run, coeff;

410:   PetscFunctionBeginUser;
411:   options->runType             = RUN_FULL;
412:   options->bcType              = DIRICHLET;
413:   options->variableCoefficient = COEFF_NONE;
414:   options->fieldBC             = PETSC_FALSE;
415:   options->jacobianMF          = PETSC_FALSE;
416:   options->showInitial         = PETSC_FALSE;
417:   options->showSolution        = PETSC_FALSE;
418:   options->restart             = PETSC_FALSE;
419:   options->quiet               = PETSC_FALSE;
420:   options->nonzInit            = PETSC_FALSE;
421:   options->bdIntegral          = PETSC_FALSE;
422:   options->checkksp            = PETSC_FALSE;
423:   options->div                 = 4;
424:   options->k                   = 1;
425:   options->kgrid               = NULL;
426:   options->rand                = PETSC_FALSE;

428:   PetscOptionsBegin(comm, "", "Poisson Problem Options", "DMPLEX");
429:   run = options->runType;
430:   PetscCall(PetscOptionsEList("-run_type", "The run type", "ex12.c", runTypes, 4, runTypes[options->runType], &run, NULL));
431:   options->runType = (RunType)run;
432:   bc               = options->bcType;
433:   PetscCall(PetscOptionsEList("-bc_type", "Type of boundary condition", "ex12.c", bcTypes, 3, bcTypes[options->bcType], &bc, NULL));
434:   options->bcType = (BCType)bc;
435:   coeff           = options->variableCoefficient;
436:   PetscCall(PetscOptionsEList("-variable_coefficient", "Type of variable coefficient", "ex12.c", coeffTypes, 8, coeffTypes[options->variableCoefficient], &coeff, NULL));
437:   options->variableCoefficient = (CoeffType)coeff;

439:   PetscCall(PetscOptionsBool("-field_bc", "Use a field representation for the BC", "ex12.c", options->fieldBC, &options->fieldBC, NULL));
440:   PetscCall(PetscOptionsBool("-jacobian_mf", "Calculate the action of the Jacobian on the fly", "ex12.c", options->jacobianMF, &options->jacobianMF, NULL));
441:   PetscCall(PetscOptionsBool("-show_initial", "Output the initial guess for verification", "ex12.c", options->showInitial, &options->showInitial, NULL));
442:   PetscCall(PetscOptionsBool("-show_solution", "Output the solution for verification", "ex12.c", options->showSolution, &options->showSolution, NULL));
443:   PetscCall(PetscOptionsBool("-restart", "Read in the mesh and solution from a file", "ex12.c", options->restart, &options->restart, NULL));
444:   PetscCall(PetscOptionsBool("-quiet", "Don't print any vecs", "ex12.c", options->quiet, &options->quiet, NULL));
445:   PetscCall(PetscOptionsBool("-nonzero_initial_guess", "nonzero initial guess", "ex12.c", options->nonzInit, &options->nonzInit, NULL));
446:   PetscCall(PetscOptionsBool("-bd_integral", "Compute the integral of the solution on the boundary", "ex12.c", options->bdIntegral, &options->bdIntegral, NULL));
447:   if (options->runType == RUN_TEST) PetscCall(PetscOptionsBool("-run_test_check_ksp", "Check solution of KSP", "ex12.c", options->checkksp, &options->checkksp, NULL));
448:   PetscCall(PetscOptionsInt("-div", "The number of division for the checkerboard coefficient", "ex12.c", options->div, &options->div, NULL));
449:   PetscCall(PetscOptionsInt("-k", "The exponent for the checkerboard coefficient", "ex12.c", options->k, &options->k, NULL));
450:   PetscCall(PetscOptionsBool("-k_random", "Assign random k values to checkerboard", "ex12.c", options->rand, &options->rand, NULL));
451:   PetscOptionsEnd();
452:   PetscFunctionReturn(PETSC_SUCCESS);
453: }

455: static PetscErrorCode CreateBCLabel(DM dm, const char name[])
456: {
457:   DM      plex;
458:   DMLabel label;

460:   PetscFunctionBeginUser;
461:   PetscCall(DMCreateLabel(dm, name));
462:   PetscCall(DMGetLabel(dm, name, &label));
463:   PetscCall(DMConvert(dm, DMPLEX, &plex));
464:   PetscCall(DMPlexMarkBoundaryFaces(plex, 1, label));
465:   PetscCall(DMDestroy(&plex));
466:   PetscFunctionReturn(PETSC_SUCCESS);
467: }

469: static PetscErrorCode CreateMesh(MPI_Comm comm, AppCtx *user, DM *dm)
470: {
471:   PetscFunctionBeginUser;
472:   PetscCall(DMCreate(comm, dm));
473:   PetscCall(DMSetType(*dm, DMPLEX));
474:   PetscCall(DMSetFromOptions(*dm));
475:   {
476:     char      convType[256];
477:     PetscBool flg;

479:     PetscOptionsBegin(comm, "", "Mesh conversion options", "DMPLEX");
480:     PetscCall(PetscOptionsFList("-dm_plex_convert_type", "Convert DMPlex to another format", "ex12", DMList, DMPLEX, convType, 256, &flg));
481:     PetscOptionsEnd();
482:     if (flg) {
483:       DM dmConv;

485:       PetscCall(DMConvert(*dm, convType, &dmConv));
486:       if (dmConv) {
487:         PetscCall(DMDestroy(dm));
488:         *dm = dmConv;
489:       }
490:       PetscCall(DMSetFromOptions(*dm));
491:       PetscCall(DMSetUp(*dm));
492:     }
493:   }
494:   PetscCall(DMViewFromOptions(*dm, NULL, "-dm_view"));
495:   if (user->rand) {
496:     PetscRandom r;
497:     PetscReal   val;
498:     PetscInt    dim, N, i;

500:     PetscCall(DMGetDimension(*dm, &dim));
501:     N = PetscPowInt(user->div, dim);
502:     PetscCall(PetscMalloc1(N, &user->kgrid));
503:     PetscCall(PetscRandomCreate(PETSC_COMM_SELF, &r));
504:     PetscCall(PetscRandomSetFromOptions(r));
505:     PetscCall(PetscRandomSetInterval(r, 0.0, user->k));
506:     PetscCall(PetscRandomSetSeed(r, 1973));
507:     PetscCall(PetscRandomSeed(r));
508:     for (i = 0; i < N; ++i) {
509:       PetscCall(PetscRandomGetValueReal(r, &val));
510:       user->kgrid[i] = 1 + (PetscInt)val;
511:     }
512:     PetscCall(PetscRandomDestroy(&r));
513:   }
514:   PetscFunctionReturn(PETSC_SUCCESS);
515: }

517: static PetscErrorCode SetupProblem(DM dm, AppCtx *user)
518: {
519:   PetscDS          ds;
520:   DMLabel          label;
521:   PetscWeakForm    wf;
522:   const PetscReal *L;
523:   const PetscInt   id = 1;
524:   PetscInt         bd, dim;

526:   PetscFunctionBeginUser;
527:   PetscCall(DMGetDS(dm, &ds));
528:   PetscCall(DMGetDimension(dm, &dim));
529:   PetscCall(DMGetPeriodicity(dm, NULL, NULL, &L));
530:   switch (user->variableCoefficient) {
531:   case COEFF_NONE:
532:     if (L && L[0]) {
533:       if (L && L[1]) {
534:         PetscCall(PetscDSSetResidual(ds, 0, f0_xytrig_u, f1_u));
535:         PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu));
536:       } else {
537:         PetscCall(PetscDSSetResidual(ds, 0, f0_xtrig_u, f1_u));
538:         PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu));
539:       }
540:     } else {
541:       PetscCall(PetscDSSetResidual(ds, 0, f0_u, f1_u));
542:       PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu));
543:     }
544:     break;
545:   case COEFF_ANALYTIC:
546:     PetscCall(PetscDSSetResidual(ds, 0, f0_analytic_u, f1_analytic_u));
547:     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_analytic_uu));
548:     break;
549:   case COEFF_FIELD:
550:     PetscCall(PetscDSSetResidual(ds, 0, f0_analytic_u, f1_field_u));
551:     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_field_uu));
552:     break;
553:   case COEFF_NONLINEAR:
554:     PetscCall(PetscDSSetResidual(ds, 0, f0_analytic_nonlinear_u, f1_analytic_nonlinear_u));
555:     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_analytic_nonlinear_uu));
556:     break;
557:   case COEFF_BALL:
558:     PetscCall(PetscDSSetResidual(ds, 0, f0_ball_u, f1_u));
559:     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu));
560:     break;
561:   case COEFF_CROSS:
562:     switch (dim) {
563:     case 2:
564:       PetscCall(PetscDSSetResidual(ds, 0, f0_cross_u_2d, f1_u));
565:       break;
566:     case 3:
567:       PetscCall(PetscDSSetResidual(ds, 0, f0_cross_u_3d, f1_u));
568:       break;
569:     default:
570:       SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension %" PetscInt_FMT, dim);
571:     }
572:     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu));
573:     break;
574:   case COEFF_CHECKERBOARD_0:
575:     PetscCall(PetscDSSetResidual(ds, 0, f0_checkerboard_0_u, f1_field_u));
576:     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_field_uu));
577:     break;
578:   default:
579:     SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid variable coefficient type %d", user->variableCoefficient);
580:   }
581:   switch (dim) {
582:   case 2:
583:     switch (user->variableCoefficient) {
584:     case COEFF_BALL:
585:       user->exactFuncs[0] = ball_u_2d;
586:       break;
587:     case COEFF_CROSS:
588:       user->exactFuncs[0] = cross_u_2d;
589:       break;
590:     case COEFF_CHECKERBOARD_0:
591:       user->exactFuncs[0] = zero;
592:       break;
593:     default:
594:       if (L && L[0]) {
595:         if (L && L[1]) {
596:           user->exactFuncs[0] = xytrig_u_2d;
597:         } else {
598:           user->exactFuncs[0] = xtrig_u_2d;
599:         }
600:       } else {
601:         user->exactFuncs[0]  = quadratic_u_2d;
602:         user->exactFields[0] = quadratic_u_field_2d;
603:       }
604:     }
605:     if (user->bcType == NEUMANN) {
606:       PetscCall(DMGetLabel(dm, "boundary", &label));
607:       PetscCall(DMAddBoundary(dm, DM_BC_NATURAL, "wall", label, 1, &id, 0, 0, NULL, NULL, NULL, user, &bd));
608:       PetscCall(PetscDSGetBoundary(ds, bd, &wf, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL));
609:       PetscCall(PetscWeakFormSetIndexBdResidual(wf, label, id, 0, 0, 0, f0_bd_u, 0, NULL));
610:     }
611:     break;
612:   case 3:
613:     switch (user->variableCoefficient) {
614:     case COEFF_BALL:
615:       user->exactFuncs[0] = ball_u_3d;
616:       break;
617:     case COEFF_CROSS:
618:       user->exactFuncs[0] = cross_u_3d;
619:       break;
620:     default:
621:       user->exactFuncs[0]  = quadratic_u_3d;
622:       user->exactFields[0] = quadratic_u_field_3d;
623:     }
624:     if (user->bcType == NEUMANN) {
625:       PetscCall(DMGetLabel(dm, "boundary", &label));
626:       PetscCall(DMAddBoundary(dm, DM_BC_NATURAL, "wall", label, 1, &id, 0, 0, NULL, NULL, NULL, user, &bd));
627:       PetscCall(PetscDSGetBoundary(ds, bd, &wf, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL));
628:       PetscCall(PetscWeakFormSetIndexBdResidual(wf, label, id, 0, 0, 0, f0_bd_u, 0, NULL));
629:     }
630:     break;
631:   default:
632:     SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension %" PetscInt_FMT, dim);
633:   }
634:   /* Setup constants */
635:   switch (user->variableCoefficient) {
636:   case COEFF_CHECKERBOARD_0: {
637:     PetscScalar constants[2];

639:     constants[0] = user->div;
640:     constants[1] = user->k;
641:     PetscCall(PetscDSSetConstants(ds, 2, constants));
642:   } break;
643:   default:
644:     break;
645:   }
646:   PetscCall(PetscDSSetExactSolution(ds, 0, user->exactFuncs[0], user));
647:   /* Setup Boundary Conditions */
648:   if (user->bcType == DIRICHLET) {
649:     PetscCall(DMGetLabel(dm, "marker", &label));
650:     if (!label) {
651:       /* Right now, p4est cannot create labels immediately */
652:       PetscCall(PetscDSAddBoundaryByName(ds, user->fieldBC ? DM_BC_ESSENTIAL_FIELD : DM_BC_ESSENTIAL, "wall", "marker", 1, &id, 0, 0, NULL, user->fieldBC ? (PetscVoidFn *)user->exactFields[0] : (PetscVoidFn *)user->exactFuncs[0], NULL, user, NULL));
653:     } else {
654:       PetscCall(DMAddBoundary(dm, user->fieldBC ? DM_BC_ESSENTIAL_FIELD : DM_BC_ESSENTIAL, "wall", label, 1, &id, 0, 0, NULL, user->fieldBC ? (PetscVoidFn *)user->exactFields[0] : (PetscVoidFn *)user->exactFuncs[0], NULL, user, NULL));
655:     }
656:   }
657:   PetscFunctionReturn(PETSC_SUCCESS);
658: }

660: static PetscErrorCode SetupMaterial(DM dm, DM dmAux, AppCtx *user)
661: {
662:   PetscErrorCode (*matFuncs[1])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar u[], PetscCtx ctx) = {nu_2d};
663:   PetscCtx ctx[1];
664:   Vec      nu;

666:   PetscFunctionBegin;
667:   ctx[0] = user;
668:   if (user->variableCoefficient == COEFF_CHECKERBOARD_0) matFuncs[0] = checkerboardCoeff;
669:   PetscCall(DMCreateLocalVector(dmAux, &nu));
670:   PetscCall(PetscObjectSetName((PetscObject)nu, "Coefficient"));
671:   PetscCall(DMProjectFunctionLocal(dmAux, 0.0, matFuncs, ctx, INSERT_ALL_VALUES, nu));
672:   PetscCall(DMSetAuxiliaryVec(dm, NULL, 0, 0, nu));
673:   PetscCall(VecDestroy(&nu));
674:   PetscFunctionReturn(PETSC_SUCCESS);
675: }

677: static PetscErrorCode SetupBC(DM dm, DM dmAux, AppCtx *user)
678: {
679:   PetscErrorCode (*bcFuncs[1])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar u[], PetscCtx ctx);
680:   Vec      uexact;
681:   PetscInt dim;

683:   PetscFunctionBegin;
684:   PetscCall(DMGetDimension(dm, &dim));
685:   if (dim == 2) bcFuncs[0] = quadratic_u_2d;
686:   else bcFuncs[0] = quadratic_u_3d;
687:   PetscCall(DMCreateLocalVector(dmAux, &uexact));
688:   PetscCall(DMProjectFunctionLocal(dmAux, 0.0, bcFuncs, NULL, INSERT_ALL_VALUES, uexact));
689:   PetscCall(DMSetAuxiliaryVec(dm, NULL, 0, 0, uexact));
690:   PetscCall(VecDestroy(&uexact));
691:   PetscFunctionReturn(PETSC_SUCCESS);
692: }

694: static PetscErrorCode SetupAuxDM(DM dm, PetscFE feAux, AppCtx *user)
695: {
696:   DM dmAux, coordDM;

698:   PetscFunctionBegin;
699:   /* MUST call DMGetCoordinateDM() in order to get p4est setup if present */
700:   PetscCall(DMGetCoordinateDM(dm, &coordDM));
701:   if (!feAux) PetscFunctionReturn(PETSC_SUCCESS);
702:   PetscCall(DMClone(dm, &dmAux));
703:   PetscCall(DMSetCoordinateDM(dmAux, coordDM));
704:   PetscCall(DMSetField(dmAux, 0, NULL, (PetscObject)feAux));
705:   PetscCall(DMCreateDS(dmAux));
706:   if (user->fieldBC) PetscCall(SetupBC(dm, dmAux, user));
707:   else PetscCall(SetupMaterial(dm, dmAux, user));
708:   PetscCall(DMDestroy(&dmAux));
709:   PetscFunctionReturn(PETSC_SUCCESS);
710: }

712: static PetscErrorCode SetupDiscretization(DM dm, AppCtx *user)
713: {
714:   DM        plex, cdm = dm;
715:   PetscFE   fe, feAux = NULL;
716:   PetscBool simplex;
717:   PetscInt  dim;

719:   PetscFunctionBeginUser;
720:   PetscCall(DMGetDimension(dm, &dim));
721:   PetscCall(DMConvert(dm, DMPLEX, &plex));
722:   PetscCall(DMPlexIsSimplex(plex, &simplex));
723:   PetscCall(DMDestroy(&plex));
724:   PetscCall(PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, NULL, -1, &fe));
725:   PetscCall(PetscObjectSetName((PetscObject)fe, "potential"));
726:   if (user->variableCoefficient == COEFF_FIELD || user->variableCoefficient == COEFF_CHECKERBOARD_0) {
727:     PetscCall(PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, "mat_", -1, &feAux));
728:     PetscCall(PetscObjectSetName((PetscObject)feAux, "coefficient"));
729:     PetscCall(PetscFECopyQuadrature(fe, feAux));
730:   } else if (user->fieldBC) {
731:     PetscCall(PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, "bc_", -1, &feAux));
732:     PetscCall(PetscFECopyQuadrature(fe, feAux));
733:   }
734:   /* Set discretization and boundary conditions for each mesh */
735:   PetscCall(DMSetField(dm, 0, NULL, (PetscObject)fe));
736:   PetscCall(DMCreateDS(dm));
737:   PetscCall(SetupProblem(dm, user));
738:   while (cdm) {
739:     PetscCall(SetupAuxDM(cdm, feAux, user));
740:     if (user->bcType == DIRICHLET) {
741:       PetscBool hasLabel;

743:       PetscCall(DMHasLabel(cdm, "marker", &hasLabel));
744:       if (!hasLabel) PetscCall(CreateBCLabel(cdm, "marker"));
745:     }
746:     PetscCall(DMCopyDisc(dm, cdm));
747:     PetscCall(DMGetCoarseDM(cdm, &cdm));
748:   }
749:   PetscCall(PetscFEDestroy(&fe));
750:   PetscCall(PetscFEDestroy(&feAux));
751:   PetscFunctionReturn(PETSC_SUCCESS);
752: }

754: int main(int argc, char **argv)
755: {
756:   DM           dm;          /* Problem specification */
757:   SNES         snes;        /* nonlinear solver */
758:   Vec          u;           /* solution vector */
759:   Mat          A, J;        /* Jacobian matrix */
760:   MatNullSpace nullSpace;   /* May be necessary for Neumann conditions */
761:   AppCtx       user;        /* user-defined work context */
762:   JacActionCtx userJ;       /* context for Jacobian MF action */
763:   PetscReal    error = 0.0; /* L_2 error in the solution */

765:   PetscFunctionBeginUser;
766:   PetscCall(PetscInitialize(&argc, &argv, NULL, help));
767:   PetscCall(ProcessOptions(PETSC_COMM_WORLD, &user));
768:   PetscCall(SNESCreate(PETSC_COMM_WORLD, &snes));
769:   PetscCall(CreateMesh(PETSC_COMM_WORLD, &user, &dm));
770:   PetscCall(SNESSetDM(snes, dm));
771:   PetscCall(DMSetApplicationContext(dm, &user));

773:   PetscCall(PetscMalloc2(1, &user.exactFuncs, 1, &user.exactFields));
774:   PetscCall(SetupDiscretization(dm, &user));

776:   PetscCall(DMCreateGlobalVector(dm, &u));
777:   PetscCall(PetscObjectSetName((PetscObject)u, "potential"));

779:   PetscCall(DMCreateMatrix(dm, &J));
780:   if (user.jacobianMF) {
781:     PetscInt M, m, N, n;

783:     PetscCall(MatGetSize(J, &M, &N));
784:     PetscCall(MatGetLocalSize(J, &m, &n));
785:     PetscCall(MatCreate(PETSC_COMM_WORLD, &A));
786:     PetscCall(MatSetSizes(A, m, n, M, N));
787:     PetscCall(MatSetType(A, MATSHELL));
788:     PetscCall(MatSetUp(A));
789: #if 0
790:     PetscCall(MatShellSetOperation(A, MATOP_MULT, (PetscErrorCodeFn *)FormJacobianAction));
791: #endif

793:     userJ.dm   = dm;
794:     userJ.J    = J;
795:     userJ.user = &user;

797:     PetscCall(DMCreateLocalVector(dm, &userJ.u));
798:     if (user.fieldBC) PetscCall(DMProjectFieldLocal(dm, 0.0, userJ.u, user.exactFields, INSERT_BC_VALUES, userJ.u));
799:     else PetscCall(DMProjectFunctionLocal(dm, 0.0, user.exactFuncs, NULL, INSERT_BC_VALUES, userJ.u));
800:     PetscCall(MatShellSetContext(A, &userJ));
801:   } else {
802:     A = J;
803:   }

805:   nullSpace = NULL;
806:   if (user.bcType != DIRICHLET) {
807:     PetscCall(MatNullSpaceCreate(PetscObjectComm((PetscObject)dm), PETSC_TRUE, 0, NULL, &nullSpace));
808:     PetscCall(MatSetNullSpace(A, nullSpace));
809:   }

811:   PetscCall(DMPlexSetSNESLocalFEM(dm, PETSC_FALSE, &user));
812:   PetscCall(SNESSetJacobian(snes, A, J, NULL, NULL));

814:   PetscCall(SNESSetFromOptions(snes));

816:   if (user.fieldBC) PetscCall(DMProjectField(dm, 0.0, u, user.exactFields, INSERT_ALL_VALUES, u));
817:   else PetscCall(DMProjectFunction(dm, 0.0, user.exactFuncs, NULL, INSERT_ALL_VALUES, u));
818:   if (user.restart) {
819: #if defined(PETSC_HAVE_HDF5)
820:     PetscViewer viewer;
821:     char        filename[PETSC_MAX_PATH_LEN];

823:     PetscCall(PetscOptionsGetString(NULL, NULL, "-dm_plex_filename", filename, sizeof(filename), NULL));
824:     PetscCall(PetscViewerCreate(PETSC_COMM_WORLD, &viewer));
825:     PetscCall(PetscViewerSetType(viewer, PETSCVIEWERHDF5));
826:     PetscCall(PetscViewerFileSetMode(viewer, FILE_MODE_READ));
827:     PetscCall(PetscViewerFileSetName(viewer, filename));
828:     PetscCall(PetscViewerHDF5PushGroup(viewer, "/fields"));
829:     PetscCall(VecLoad(u, viewer));
830:     PetscCall(PetscViewerHDF5PopGroup(viewer));
831:     PetscCall(PetscViewerDestroy(&viewer));
832: #endif
833:   }
834:   if (user.showInitial) {
835:     Vec lv;
836:     PetscCall(DMGetLocalVector(dm, &lv));
837:     PetscCall(DMGlobalToLocalBegin(dm, u, INSERT_VALUES, lv));
838:     PetscCall(DMGlobalToLocalEnd(dm, u, INSERT_VALUES, lv));
839:     PetscCall(DMPrintLocalVec(dm, "Local function", 1.0e-10, lv));
840:     PetscCall(DMRestoreLocalVector(dm, &lv));
841:   }
842:   if (user.runType == RUN_FULL || user.runType == RUN_EXACT) {
843:     PetscErrorCode (*initialGuess[1])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar u[], PetscCtx ctx) = {zero};

845:     if (user.nonzInit) initialGuess[0] = ecks;
846:     if (user.runType == RUN_FULL) PetscCall(DMProjectFunction(dm, 0.0, initialGuess, NULL, INSERT_VALUES, u));
847:     PetscCall(VecViewFromOptions(u, NULL, "-guess_vec_view"));
848:     PetscCall(SNESSolve(snes, NULL, u));
849:     PetscCall(SNESGetSolution(snes, &u));
850:     PetscCall(SNESGetDM(snes, &dm));

852:     if (user.showSolution) {
853:       PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Solution\n"));
854:       PetscCall(VecFilter(u, 3.0e-9));
855:       PetscCall(VecView(u, PETSC_VIEWER_STDOUT_WORLD));
856:     }
857:   } else if (user.runType == RUN_PERF) {
858:     Vec       r;
859:     PetscReal res = 0.0;

861:     PetscCall(SNESGetFunction(snes, &r, NULL, NULL));
862:     PetscCall(SNESComputeFunction(snes, u, r));
863:     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n"));
864:     PetscCall(VecFilter(r, 1.0e-10));
865:     PetscCall(VecNorm(r, NORM_2, &res));
866:     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", (double)res));
867:   } else {
868:     Vec       r;
869:     PetscReal res = 0.0, tol = 1.0e-11;

871:     /* Check discretization error */
872:     PetscCall(SNESGetFunction(snes, &r, NULL, NULL));
873:     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n"));
874:     if (!user.quiet) PetscCall(VecView(u, PETSC_VIEWER_STDOUT_WORLD));
875:     PetscCall(DMComputeL2Diff(dm, 0.0, user.exactFuncs, NULL, u, &error));
876:     if (error < tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: < %2.1e\n", (double)tol));
877:     else PetscCall(PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", (double)error));
878:     /* Check residual */
879:     PetscCall(SNESComputeFunction(snes, u, r));
880:     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n"));
881:     PetscCall(VecFilter(r, 1.0e-10));
882:     if (!user.quiet) PetscCall(VecView(r, PETSC_VIEWER_STDOUT_WORLD));
883:     PetscCall(VecNorm(r, NORM_2, &res));
884:     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", (double)res));
885:     /* Check Jacobian */
886:     {
887:       Vec b;

889:       PetscCall(SNESComputeJacobian(snes, u, A, A));
890:       PetscCall(VecDuplicate(u, &b));
891:       PetscCall(VecSet(r, 0.0));
892:       PetscCall(SNESComputeFunction(snes, r, b));
893:       PetscCall(MatMult(A, u, r));
894:       PetscCall(VecAXPY(r, 1.0, b));
895:       PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Au - b = Au + F(0)\n"));
896:       PetscCall(VecFilter(r, 1.0e-10));
897:       if (!user.quiet) PetscCall(VecView(r, PETSC_VIEWER_STDOUT_WORLD));
898:       PetscCall(VecNorm(r, NORM_2, &res));
899:       PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Linear L_2 Residual: %g\n", (double)res));
900:       /* check solver */
901:       if (user.checkksp) {
902:         KSP ksp;

904:         if (nullSpace) PetscCall(MatNullSpaceRemove(nullSpace, u));
905:         PetscCall(SNESComputeJacobian(snes, u, A, J));
906:         PetscCall(MatMult(A, u, b));
907:         PetscCall(SNESGetKSP(snes, &ksp));
908:         PetscCall(KSPSetOperators(ksp, A, J));
909:         PetscCall(KSPSolve(ksp, b, r));
910:         PetscCall(VecAXPY(r, -1.0, u));
911:         PetscCall(VecNorm(r, NORM_2, &res));
912:         PetscCall(PetscPrintf(PETSC_COMM_WORLD, "KSP Error: %g\n", (double)res));
913:       }
914:       PetscCall(VecDestroy(&b));
915:     }
916:   }
917:   PetscCall(VecViewFromOptions(u, NULL, "-vec_view"));
918:   {
919:     Vec nu;

921:     PetscCall(DMGetAuxiliaryVec(dm, NULL, 0, 0, &nu));
922:     if (nu) PetscCall(VecViewFromOptions(nu, NULL, "-coeff_view"));
923:   }

925:   if (user.bdIntegral) {
926:     DMLabel         label;
927:     PetscBdPointFn *func[1] = {bd_integral_2d};
928:     PetscInt        id      = 1;
929:     PetscScalar     bdInt   = 0.0;
930:     PetscReal       exact   = 3.3333333333;

932:     PetscCall(DMGetLabel(dm, "marker", &label));
933:     PetscCall(DMPlexComputeBdIntegral(dm, u, label, 1, &id, func, &bdInt, NULL));
934:     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Solution boundary integral: %.4g\n", (double)PetscAbsScalar(bdInt)));
935:     PetscCheck(PetscAbsReal(PetscAbsScalar(bdInt) - exact) <= PETSC_SQRT_MACHINE_EPSILON, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Invalid boundary integral %g != %g", (double)PetscAbsScalar(bdInt), (double)exact);
936:   }

938:   PetscCall(MatNullSpaceDestroy(&nullSpace));
939:   if (user.jacobianMF) PetscCall(VecDestroy(&userJ.u));
940:   if (A != J) PetscCall(MatDestroy(&A));
941:   PetscCall(MatDestroy(&J));
942:   PetscCall(VecDestroy(&u));
943:   PetscCall(SNESDestroy(&snes));
944:   PetscCall(DMDestroy(&dm));
945:   PetscCall(PetscFree2(user.exactFuncs, user.exactFields));
946:   PetscCall(PetscFree(user.kgrid));
947:   PetscCall(PetscFinalize());
948:   return 0;
949: }

951: /*TEST
952:   # 2D serial P1 test 0-4
953:   test:
954:     suffix: 2d_p1_0
955:     requires: triangle
956:     args: -run_type test -bc_type dirichlet -dm_plex_interpolate 0 -petscspace_degree 1 -show_initial -dm_plex_print_fem 1

958:   test:
959:     suffix: 2d_p1_1
960:     requires: triangle
961:     args: -run_type test -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1 -cdm_dm_plex_coordinate_dim {{2 3}}

963:   test:
964:     suffix: 2d_p1_1b
965:     requires: triangle
966:     args: -run_type test -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1 -dm_refine 3 -dm_coord_space 0 \
967:           -dm_plex_option_phases proj_ -cdm_proj_dm_plex_coordinate_dim 3 -proj_dm_coord_space \
968:           -proj_dm_coord_remap -proj_dm_coord_map sinusoid -proj_dm_coord_map_params 0.1,1.,1.

970:   test:
971:     suffix: 2d_p1_2
972:     requires: triangle
973:     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1

975:   test:
976:     suffix: 2d_p1_neumann_0
977:     requires: triangle
978:     args: -dm_coord_space 0 -run_type test -bc_type neumann -dm_plex_boundary_label boundary -petscspace_degree 1 -show_initial -dm_plex_print_fem 1 -dm_view ascii::ascii_info_detail

980:   test:
981:     suffix: 2d_p1_neumann_1
982:     requires: triangle
983:     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -bc_type neumann -dm_plex_boundary_label boundary -petscspace_degree 1 -show_initial -dm_plex_print_fem 1

985:   # 2D serial P2 test 5-8
986:   test:
987:     suffix: 2d_p2_0
988:     requires: triangle
989:     args: -run_type test -bc_type dirichlet -petscspace_degree 2 -show_initial -dm_plex_print_fem 1

991:   test:
992:     suffix: 2d_p2_1
993:     requires: triangle
994:     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -bc_type dirichlet -petscspace_degree 2 -show_initial -dm_plex_print_fem 1

996:   test:
997:     suffix: 2d_p2_neumann_0
998:     requires: triangle
999:     args: -dm_coord_space 0 -run_type test -bc_type neumann -dm_plex_boundary_label boundary -petscspace_degree 2 -show_initial -dm_plex_print_fem 1 -dm_view ascii::ascii_info_detail

1001:   test:
1002:     suffix: 2d_p2_neumann_1
1003:     requires: triangle
1004:     args: -dm_coord_space 0 -run_type test -dm_refine_volume_limit_pre 0.0625 -bc_type neumann -dm_plex_boundary_label boundary -petscspace_degree 2 -show_initial -dm_plex_print_fem 1 -dm_view ascii::ascii_info_detail

1006:   test:
1007:     suffix: bd_int_0
1008:     requires: triangle
1009:     args: -run_type test -bc_type dirichlet -petscspace_degree 2 -bd_integral -dm_view -quiet

1011:   test:
1012:     suffix: bd_int_1
1013:     requires: triangle
1014:     args: -run_type test -dm_refine 2 -bc_type dirichlet -petscspace_degree 2 -bd_integral -dm_view -quiet

1016:   # 3D serial P1 test 9-12
1017:   test:
1018:     suffix: 3d_p1_0
1019:     requires: ctetgen
1020:     args: -run_type test -dm_plex_dim 3 -bc_type dirichlet -dm_plex_interpolate 0 -petscspace_degree 1 -show_initial -dm_plex_print_fem 1 -dm_view

1022:   test:
1023:     suffix: 3d_p1_1
1024:     requires: ctetgen
1025:     args: -run_type test -dm_plex_dim 3 -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1 -dm_view

1027:   test:
1028:     suffix: 3d_p1_2
1029:     requires: ctetgen
1030:     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1 -dm_view

1032:   test:
1033:     suffix: 3d_p1_neumann_0
1034:     requires: ctetgen
1035:     args: -run_type test -dm_plex_dim 3 -bc_type neumann -dm_plex_boundary_label boundary -petscspace_degree 1 -snes_fd -show_initial -dm_plex_print_fem 1 -dm_view

1037:   # Analytic variable coefficient 13-20
1038:   test:
1039:     suffix: 13
1040:     requires: triangle
1041:     args: -run_type test -variable_coefficient analytic -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1042:   test:
1043:     suffix: 14
1044:     requires: triangle
1045:     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient analytic -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1046:   test:
1047:     suffix: 15
1048:     requires: triangle
1049:     args: -run_type test -variable_coefficient analytic -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1050:   test:
1051:     suffix: 16
1052:     requires: triangle
1053:     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient analytic -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1054:   test:
1055:     suffix: 17
1056:     requires: ctetgen
1057:     args: -run_type test -dm_plex_dim 3 -variable_coefficient analytic -petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1059:   test:
1060:     suffix: 18
1061:     requires: ctetgen
1062:     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient analytic -petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1064:   test:
1065:     suffix: 19
1066:     requires: ctetgen
1067:     args: -run_type test -dm_plex_dim 3 -variable_coefficient analytic -petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1069:   test:
1070:     suffix: 20
1071:     requires: ctetgen
1072:     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient analytic -petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1074:   # P1 variable coefficient 21-28
1075:   test:
1076:     suffix: 21
1077:     requires: triangle
1078:     args: -run_type test -variable_coefficient field -petscspace_degree 1 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1080:   test:
1081:     suffix: 22
1082:     requires: triangle
1083:     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient field -petscspace_degree 1 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1085:   test:
1086:     suffix: 23
1087:     requires: triangle
1088:     args: -run_type test -variable_coefficient field -petscspace_degree 2 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1090:   test:
1091:     suffix: 24
1092:     requires: triangle
1093:     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient field -petscspace_degree 2 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1095:   test:
1096:     suffix: 25
1097:     requires: ctetgen
1098:     args: -run_type test -dm_plex_dim 3 -variable_coefficient field -petscspace_degree 1 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1100:   test:
1101:     suffix: 26
1102:     requires: ctetgen
1103:     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient field -petscspace_degree 1 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1105:   test:
1106:     suffix: 27
1107:     requires: ctetgen
1108:     args: -run_type test -dm_plex_dim 3 -variable_coefficient field -petscspace_degree 2 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1110:   test:
1111:     suffix: 28
1112:     requires: ctetgen
1113:     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient field -petscspace_degree 2 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1115:   # P0 variable coefficient 29-36
1116:   test:
1117:     suffix: 29
1118:     requires: triangle
1119:     args: -run_type test -variable_coefficient field -petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1121:   test:
1122:     suffix: 30
1123:     requires: triangle
1124:     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient field -petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1126:   test:
1127:     suffix: 31
1128:     requires: triangle
1129:     args: -run_type test -variable_coefficient field -petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1131:   test:
1132:     requires: triangle
1133:     suffix: 32
1134:     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient field -petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1136:   test:
1137:     requires: ctetgen
1138:     suffix: 33
1139:     args: -run_type test -dm_plex_dim 3 -variable_coefficient field -petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1141:   test:
1142:     suffix: 34
1143:     requires: ctetgen
1144:     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient field -petscspace_degree 1 -show_initial -dm_plex_print_fem 1

1146:   test:
1147:     suffix: 35
1148:     requires: ctetgen
1149:     args: -run_type test -dm_plex_dim 3 -variable_coefficient field -petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1151:   test:
1152:     suffix: 36
1153:     requires: ctetgen
1154:     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient field -petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1156:   # Full solve 39-44
1157:   test:
1158:     suffix: 39
1159:     requires: triangle !single
1160:     args: -run_type full -dm_refine_volume_limit_pre 0.015625 -petscspace_degree 2 -pc_type gamg -pc_gamg_esteig_ksp_type cg -pc_gamg_esteig_ksp_max_it 10 -snes_rtol 1.0e-6 -ksp_rtol 1.0e-7 -ksp_monitor -ksp_converged_reason -snes_monitor_short -snes_converged_reason ::ascii_info_detail
1161:   test:
1162:     suffix: 40
1163:     requires: triangle !single
1164:     args: -run_type full -dm_refine_volume_limit_pre 0.015625 -variable_coefficient nonlinear -petscspace_degree 2 -pc_type svd -ksp_rtol 1.0e-10 -snes_monitor_short -snes_converged_reason ::ascii_info_detail
1165:   test:
1166:     suffix: 41
1167:     requires: triangle !single
1168:     args: -run_type full -dm_refine_volume_limit_pre 0.03125 -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 2 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 1 -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short
1169:   test:
1170:     suffix: 42
1171:     requires: triangle !single
1172:     args: -run_type full -dm_refine_volume_limit_pre 0.0625 -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 2 -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short -fas_levels_2_snes_type newtonls -fas_levels_2_pc_type svd -fas_levels_2_ksp_rtol 1.0e-10 -fas_levels_2_snes_atol 1.0e-11 -fas_levels_2_snes_monitor_short
1173:   test:
1174:     suffix: 43
1175:     requires: triangle !single
1176:     nsize: 2
1177:     args: -run_type full -dm_refine_volume_limit_pre 0.03125 -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 2 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 1 -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short

1179:   test:
1180:     suffix: 44
1181:     requires: triangle !single
1182:     nsize: 2
1183:     args: -run_type full -dm_refine_volume_limit_pre 0.0625 -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 2 -dm_plex_print_fem 0 -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short -fas_levels_2_snes_type newtonls -fas_levels_2_pc_type svd -fas_levels_2_ksp_rtol 1.0e-10 -fas_levels_2_snes_atol 1.0e-11 -fas_levels_2_snes_monitor_short

1185:   # These tests use a loose tolerance just to exercise the PtAP operations for MATIS and multiple PCBDDC setup calls inside PCMG
1186:   testset:
1187:     requires: triangle !single
1188:     nsize: 3
1189:     args: -run_type full -petscspace_degree 1 -dm_mat_type is -pc_type mg -mg_coarse_pc_type bddc -pc_mg_galerkin pmat -ksp_rtol 1.0e-2 -snes_converged_reason -dm_refine_hierarchy 2 -snes_max_it 4
1190:     test:
1191:       suffix: gmg_bddc
1192:       filter: sed -e "s/CONVERGED_FNORM_RELATIVE iterations 3/CONVERGED_FNORM_RELATIVE iterations 4/g"
1193:       args: -mg_levels_pc_type jacobi
1194:     test:
1195:       filter: sed -e "s/iterations [0-4]/iterations 4/g"
1196:       suffix: gmg_bddc_lev
1197:       args: -mg_levels_pc_type bddc

1199:   # VTU viewer with empty processes
1200:   test:
1201:     requires: !complex
1202:     suffix: vtu_empty
1203:     args: -quiet -run_type test -dm_plex_simplex 0 -dm_plex_box_faces 2,2 -vec_view vtk:test.vtu:vtk_vtu -petscspace_degree 1 -petscpartitioner_type simple

1205:   # Restarting
1206:   testset:
1207:     suffix: restart
1208:     requires: hdf5 triangle !complex
1209:     args: -run_type test -bc_type dirichlet -petscspace_degree 1
1210:     test:
1211:       args: -dm_view hdf5:sol.h5 -vec_view hdf5:sol.h5::append
1212:     test:
1213:       args: -dm_plex_filename sol.h5 -dm_plex_name box -restart

1215:   # Periodicity
1216:   test:
1217:     suffix: periodic_0
1218:     requires: triangle
1219:     args: -run_type full -bc_type dirichlet -petscspace_degree 1 -snes_converged_reason ::ascii_info_detail

1221:   test:
1222:     requires: !complex
1223:     suffix: periodic_1
1224:     args: -quiet -run_type test -dm_plex_simplex 0 -dm_plex_box_faces 3,3 -dm_plex_box_bd periodic,periodic -vec_view vtk:test.vtu:vtk_vtu -petscspace_degree 1 -dm_refine 1

1226:   # 2D serial P1 test with field bc
1227:   test:
1228:     suffix: field_bc_2d_p1_0
1229:     requires: triangle
1230:     args: -run_type test -bc_type dirichlet -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1232:   test:
1233:     suffix: field_bc_2d_p1_1
1234:     requires: triangle
1235:     args: -run_type test -dm_refine 1 -bc_type dirichlet -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1237:   test:
1238:     suffix: field_bc_2d_p1_neumann_0
1239:     requires: triangle
1240:     args: -run_type test -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1242:   test:
1243:     suffix: field_bc_2d_p1_neumann_1
1244:     requires: triangle
1245:     args: -run_type test -dm_refine 1 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1247:   # 3D serial P1 test with field bc
1248:   test:
1249:     suffix: field_bc_3d_p1_0
1250:     requires: ctetgen
1251:     args: -run_type test -dm_plex_dim 3 -bc_type dirichlet -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1253:   test:
1254:     suffix: field_bc_3d_p1_1
1255:     requires: ctetgen
1256:     args: -run_type test -dm_plex_dim 3 -dm_refine 1 -bc_type dirichlet -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1258:   test:
1259:     suffix: field_bc_3d_p1_neumann_0
1260:     requires: ctetgen
1261:     args: -run_type test -dm_plex_dim 3 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1263:   test:
1264:     suffix: field_bc_3d_p1_neumann_1
1265:     requires: ctetgen
1266:     args: -run_type test -dm_plex_dim 3 -dm_refine 1 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1268:   # 2D serial P2 test with field bc
1269:   test:
1270:     suffix: field_bc_2d_p2_0
1271:     requires: triangle
1272:     args: -run_type test -bc_type dirichlet -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1274:   test:
1275:     suffix: field_bc_2d_p2_1
1276:     requires: triangle
1277:     args: -run_type test -dm_refine 1 -bc_type dirichlet -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1279:   test:
1280:     suffix: field_bc_2d_p2_neumann_0
1281:     requires: triangle
1282:     args: -run_type test -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1284:   test:
1285:     suffix: field_bc_2d_p2_neumann_1
1286:     requires: triangle
1287:     args: -run_type test -dm_refine 1 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1289:   # 3D serial P2 test with field bc
1290:   test:
1291:     suffix: field_bc_3d_p2_0
1292:     requires: ctetgen
1293:     args: -run_type test -dm_plex_dim 3 -bc_type dirichlet -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1295:   test:
1296:     suffix: field_bc_3d_p2_1
1297:     requires: ctetgen
1298:     args: -run_type test -dm_plex_dim 3 -dm_refine 1 -bc_type dirichlet -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1300:   test:
1301:     suffix: field_bc_3d_p2_neumann_0
1302:     requires: ctetgen
1303:     args: -run_type test -dm_plex_dim 3 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1305:   test:
1306:     suffix: field_bc_3d_p2_neumann_1
1307:     requires: ctetgen
1308:     args: -run_type test -dm_plex_dim 3 -dm_refine 1 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1

1310:   # Full solve simplex: Convergence
1311:   test:
1312:     suffix: 3d_p1_conv
1313:     requires: ctetgen
1314:     args: -run_type full -dm_plex_dim 3 -dm_refine 1 -bc_type dirichlet -petscspace_degree 1 \
1315:       -snes_convergence_estimate -convest_num_refine 1 -pc_type lu

1317:   # Full solve simplex: PCBDDC
1318:   test:
1319:     suffix: tri_bddc
1320:     requires: triangle !single
1321:     nsize: 5
1322:     args: -run_type full -petscpartitioner_type simple -dm_refine 2 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -dm_mat_type is -pc_type bddc -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0

1324:   # Full solve simplex: PCBDDC
1325:   test:
1326:     suffix: tri_parmetis_bddc
1327:     requires: triangle !single parmetis
1328:     nsize: 4
1329:     args: -run_type full -petscpartitioner_type parmetis -dm_refine 2 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -dm_mat_type is -pc_type bddc -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0

1331:   testset:
1332:     args: -run_type full -dm_plex_simplex 0 -dm_plex_box_faces 3,3 -petscpartitioner_type simple -dm_refine 2 -bc_type dirichlet -petscspace_degree 2 -dm_mat_type is -pc_type bddc -ksp_type gmres -snes_monitor_short -ksp_monitor_short -snes_view -petscspace_poly_tensor -pc_bddc_corner_selection -ksp_rtol 1.e-9 -pc_bddc_use_edges 0
1333:     nsize: 5
1334:     output_file: output/ex12_quad_bddc.out
1335:     filter: sed -e "s/aijcusparse/aij/g" -e "s/aijviennacl/aij/g" -e "s/factorization: cusparse/factorization: petsc/g"
1336:     test:
1337:       requires: !single
1338:       suffix: quad_bddc
1339:     test:
1340:       requires: !single cuda
1341:       suffix: quad_bddc_cuda
1342:       args: -mat_is_localmat_type aijcusparse -pc_bddc_dirichlet_pc_factor_mat_solver_type cusparse -pc_bddc_neumann_pc_factor_mat_solver_type cusparse
1343:     test:
1344:       requires: !single viennacl
1345:       suffix: quad_bddc_viennacl
1346:       args: -mat_is_localmat_type aijviennacl

1348:   # Full solve simplex: ASM
1349:   test:
1350:     suffix: tri_q2q1_asm_lu
1351:     requires: triangle !single
1352:     args: -run_type full -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -pc_type asm -pc_asm_type restrict -pc_asm_blocks 4 -sub_pc_type lu -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0

1354:   test:
1355:     suffix: tri_q2q1_msm_lu
1356:     requires: triangle !single
1357:     args: -run_type full -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -pc_type asm -pc_asm_type restrict -pc_asm_local_type multiplicative -pc_asm_blocks 4 -sub_pc_type lu -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0

1359:   test:
1360:     suffix: tri_q2q1_asm_sor
1361:     requires: triangle !single
1362:     args: -run_type full -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -pc_type asm -pc_asm_type restrict -pc_asm_blocks 4 -sub_pc_type sor -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0

1364:   test:
1365:     suffix: tri_q2q1_msm_sor
1366:     requires: triangle !single
1367:     args: -run_type full -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -pc_type asm -pc_asm_type restrict -pc_asm_local_type multiplicative -pc_asm_blocks 4 -sub_pc_type sor -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0

1369:   # Full solve simplex: FAS
1370:   test:
1371:     suffix: fas_newton_0
1372:     requires: triangle !single
1373:     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 2 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 1 -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short

1375:   test:
1376:     suffix: fas_newton_1
1377:     requires: triangle !single
1378:     args: -run_type full -dm_refine_hierarchy 3 -petscspace_degree 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type lu -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_snes_linesearch_type basic -fas_levels_ksp_rtol 1.0e-10 -fas_levels_snes_monitor_short
1379:     filter: sed -e "s/total number of linear solver iterations=14/total number of linear solver iterations=15/g"

1381:   test:
1382:     suffix: fas_ngs_0
1383:     requires: triangle !single
1384:     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 2 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 1 -snes_view -fas_levels_1_snes_type ngs -fas_levels_1_snes_monitor_short

1386:   # These two tests are broken because DMPlexComputeInjectorFEM() only works for regularly refined meshes
1387:   test:
1388:     suffix: fas_newton_coarse_0
1389:     requires: pragmatic triangle
1390:     TODO: broken
1391:     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 1 \
1392:           -dm_refine 2 -dm_coarsen_hierarchy 1 -dm_plex_hash_location -dm_adaptor pragmatic \
1393:           -snes_type fas -snes_fas_levels 2 -snes_converged_reason ::ascii_info_detail -snes_monitor_short -snes_view \
1394:             -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -fas_coarse_snes_linesearch_type basic \
1395:             -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short

1397:   test:
1398:     suffix: mg_newton_coarse_0
1399:     requires: triangle pragmatic
1400:     TODO: broken
1401:     args: -run_type full -petscspace_degree 1 \
1402:           -dm_refine 3 -dm_coarsen_hierarchy 3 -dm_plex_hash_location -dm_adaptor pragmatic \
1403:           -snes_atol 1.0e-8 -snes_rtol 0.0 -snes_monitor_short -snes_converged_reason ::ascii_info_detail -snes_view \
1404:             -ksp_type richardson -ksp_atol 1.0e-8 -ksp_rtol 0.0 -ksp_norm_type unpreconditioned -ksp_monitor_true_residual \
1405:               -pc_type mg -pc_mg_levels 4 \
1406:               -mg_levels_ksp_type gmres -mg_levels_pc_type ilu -mg_levels_ksp_max_it 10

1408:   # Test cgns writer for ranks with no elements
1409:   test:
1410:     suffix: cgns
1411:     nsize: 5
1412:     requires: cgns
1413:     args: -quiet -run_type test -dm_plex_simplex 0 -petscspace_degree 1 -dm_plex_box_faces 2,2 -vec_view cgns:test.cgns -dm_refine 0 -petscpartitioner_type simple

1415:   # Full solve tensor
1416:   test:
1417:     suffix: tensor_plex_2d
1418:     args: -run_type test -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_refine_hierarchy 2

1420:   test:
1421:     suffix: tensor_p4est_2d
1422:     requires: p4est
1423:     args: -run_type test -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_forest_initial_refinement 2 -dm_forest_minimum_refinement 0 -dm_plex_convert_type p4est

1425:   test:
1426:     suffix: tensor_plex_3d
1427:     args: -run_type test -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_plex_dim 3 -dm_refine_hierarchy 1 -dm_plex_box_faces 2,2,2

1429:   test:
1430:     suffix: tensor_p4est_3d
1431:     requires: p4est
1432:     args: -run_type test -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_forest_initial_refinement 1 -dm_forest_minimum_refinement 0 -dm_plex_dim 3 -dm_plex_convert_type p8est -dm_plex_box_faces 2,2,2

1434:   test:
1435:     suffix: p4est_test_q2_conformal_serial
1436:     requires: p4est
1437:     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2

1439:   test:
1440:     suffix: p4est_test_q2_conformal_parallel
1441:     requires: p4est
1442:     nsize: 7
1443:     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -petscpartitioner_type simple

1445:   test:
1446:     suffix: p4est_test_q2_conformal_parallel_parmetis
1447:     requires: parmetis p4est
1448:     nsize: 4
1449:     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -petscpartitioner_type parmetis

1451:   test:
1452:     suffix: p4est_test_q2_nonconformal_serial
1453:     requires: p4est
1454:     filter: grep -v "CG or CGNE: variant"
1455:     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash

1457:   test:
1458:     suffix: p4est_test_q2_nonconformal_parallel
1459:     requires: p4est
1460:     filter: grep -v "CG or CGNE: variant"
1461:     nsize: 7
1462:     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple

1464:   test:
1465:     suffix: p4est_test_q2_nonconformal_parallel_parmetis
1466:     requires: parmetis p4est
1467:     nsize: 4
1468:     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type parmetis

1470:   test:
1471:     suffix: p4est_exact_q2_conformal_serial
1472:     requires: p4est !single !complex !__float128
1473:     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2

1475:   test:
1476:     suffix: p4est_exact_q2_conformal_parallel
1477:     requires: p4est !single !complex !__float128
1478:     nsize: 4
1479:     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2

1481:   test:
1482:     suffix: p4est_exact_q2_conformal_parallel_parmetis
1483:     requires: parmetis p4est !single
1484:     nsize: 4
1485:     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_linesearch_type basic -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_snes_converged_reason -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -petscpartitioner_type parmetis

1487:   test:
1488:     suffix: p4est_exact_q2_nonconformal_serial
1489:     requires: p4est
1490:     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash

1492:   test:
1493:     suffix: p4est_exact_q2_nonconformal_parallel
1494:     requires: p4est
1495:     nsize: 7
1496:     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple

1498:   test:
1499:     suffix: p4est_exact_q2_nonconformal_parallel_parmetis
1500:     requires: parmetis p4est
1501:     nsize: 4
1502:     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type parmetis

1504:   test:
1505:     suffix: p4est_full_q2_nonconformal_serial
1506:     requires: p4est !single
1507:     filter: grep -v "variant HERMITIAN"
1508:     args: -run_type full -petscspace_degree 2 -snes_max_it 20 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type jacobi -fas_coarse_ksp_type cg -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type jacobi -fas_levels_ksp_type cg -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash

1510:   test:
1511:     suffix: p4est_full_q2_nonconformal_parallel
1512:     requires: p4est !single
1513:     filter: grep -v "variant HERMITIAN"
1514:     nsize: 7
1515:     args: -run_type full -petscspace_degree 2 -snes_max_it 20 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type jacobi -fas_coarse_ksp_type cg -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type jacobi -fas_levels_ksp_type cg -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple

1517:   test:
1518:     suffix: p4est_full_q2_nonconformal_parallel_bddcfas
1519:     requires: p4est !single
1520:     filter: grep -v "variant HERMITIAN"
1521:     nsize: 7
1522:     args: -run_type full -petscspace_degree 2 -snes_max_it 20 -snes_type fas -snes_fas_levels 3 -dm_mat_type is -fas_coarse_pc_type bddc -fas_coarse_ksp_type cg -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type bddc -fas_levels_ksp_type cg -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple

1524:   test:
1525:     suffix: p4est_full_q2_nonconformal_parallel_bddc
1526:     requires: p4est !single
1527:     filter: grep -v "variant HERMITIAN"
1528:     nsize: 7
1529:     args: -run_type full -petscspace_degree 2 -snes_max_it 20 -snes_type newtonls -dm_mat_type is -pc_type bddc -ksp_type cg -snes_monitor_short -snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple

1531:   test:
1532:     TODO: broken
1533:     suffix: p4est_fas_q2_conformal_serial
1534:     requires: p4est !complex !__float128
1535:     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 2 -snes_max_it 20 -snes_type fas -snes_fas_levels 3 -pc_type jacobi -ksp_type gmres -fas_coarse_pc_type svd -fas_coarse_ksp_type gmres -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type svd -fas_levels_ksp_type gmres -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_refine_hierarchy 3

1537:   test:
1538:     TODO: broken
1539:     suffix: p4est_fas_q2_nonconformal_serial
1540:     requires: p4est
1541:     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 2 -snes_max_it 20 -snes_type fas -snes_fas_levels 3 -pc_type jacobi -ksp_type gmres -fas_coarse_pc_type jacobi -fas_coarse_ksp_type gmres -fas_coarse_ksp_monitor_true_residual -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type jacobi -fas_levels_ksp_type gmres -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash

1543:   test:
1544:     suffix: fas_newton_0_p4est
1545:     requires: p4est !single !__float128
1546:     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 2 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash

1548:   # Full solve simplicial AMR
1549:   test:
1550:     suffix: tri_p1_adapt_init_pragmatic
1551:     requires: pragmatic
1552:     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_initial 1 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor pragmatic

1554:   test:
1555:     suffix: tri_p2_adapt_init_pragmatic
1556:     requires: pragmatic
1557:     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_initial 1 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor pragmatic

1559:   test:
1560:     suffix: tri_p1_adapt_init_mmg
1561:     requires: mmg
1562:     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_initial 1 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor mmg

1564:   test:
1565:     suffix: tri_p2_adapt_init_mmg
1566:     requires: mmg
1567:     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_initial 1 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor mmg

1569:   test:
1570:     suffix: tri_p1_adapt_seq_pragmatic
1571:     requires: pragmatic
1572:     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_sequence 2 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor pragmatic

1574:   test:
1575:     suffix: tri_p2_adapt_seq_pragmatic
1576:     requires: pragmatic
1577:     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_sequence 2 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor pragmatic

1579:   test:
1580:     suffix: tri_p1_adapt_seq_mmg
1581:     requires: mmg
1582:     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_sequence 2 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor mmg

1584:   test:
1585:     suffix: tri_p2_adapt_seq_mmg
1586:     requires: mmg
1587:     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_sequence 2 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor mmg

1589:   test:
1590:     suffix: tri_p1_adapt_analytic_pragmatic
1591:     requires: pragmatic
1592:     args: -run_type exact -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient cross -snes_adapt_initial 4 -adaptor_target_num 500 -dm_plex_metric_h_min 0.0001 -dm_plex_metric_h_max 0.05 -dm_adaptor pragmatic
1593:     output_file: output/empty.out

1595:   test:
1596:     suffix: tri_p2_adapt_analytic_pragmatic
1597:     requires: pragmatic
1598:     args: -run_type exact -dm_refine 3 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient cross -snes_adapt_initial 4 -adaptor_target_num 500 -dm_plex_metric_h_min 0.0001 -dm_plex_metric_h_max 0.05 -dm_adaptor pragmatic
1599:     output_file: output/empty.out

1601:   test:
1602:     suffix: tri_p1_adapt_analytic_mmg
1603:     requires: mmg
1604:     args: -run_type exact -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient cross -snes_adapt_initial 4 -adaptor_target_num 500 -dm_plex_metric_h_max 0.5 -dm_adaptor mmg
1605:     output_file: output/empty.out

1607:   test:
1608:     suffix: tri_p2_adapt_analytic_mmg
1609:     requires: mmg
1610:     args: -run_type exact -dm_refine 3 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient cross -snes_adapt_initial 4 -adaptor_target_num 500 -dm_plex_metric_h_max 0.5 -dm_adaptor mmg
1611:     output_file: output/empty.out

1613:   test:
1614:     suffix: tri_p1_adapt_uniform_pragmatic
1615:     requires: pragmatic tetgen
1616:     nsize: 2
1617:     args: -run_type full -dm_plex_box_faces 8,8,8 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 3 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor pragmatic
1618:     timeoutfactor: 2

1620:   test:
1621:     suffix: tri_p2_adapt_uniform_pragmatic
1622:     requires: pragmatic tetgen
1623:     nsize: 2
1624:     args: -run_type full -dm_plex_box_faces 8,8,8 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 1 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor pragmatic
1625:     timeoutfactor: 1

1627:   test:
1628:     suffix: tri_p1_adapt_uniform_mmg
1629:     requires: mmg tetgen
1630:     args: -run_type full -dm_plex_box_faces 4,4,4 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 3 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor mmg
1631:     timeoutfactor: 2

1633:   test:
1634:     suffix: tri_p2_adapt_uniform_mmg
1635:     requires: mmg tetgen
1636:     TODO: broken
1637:     args: -run_type full -dm_plex_box_faces 4,4,4 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 1 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor mmg
1638:     timeoutfactor: 1

1640:   test:
1641:     suffix: tri_p1_adapt_uniform_parmmg
1642:     requires: parmmg tetgen
1643:     nsize: 2
1644:     args: -run_type full -dm_plex_box_faces 8,8,8 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 3 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor parmmg
1645:     timeoutfactor: 2

1647:   test:
1648:     suffix: tri_p2_adapt_uniform_parmmg
1649:     requires: parmmg tetgen
1650:     nsize: 2
1651:     args: -run_type full -dm_plex_box_faces 8,8,8 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 1 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor parmmg
1652:     timeoutfactor: 1

1654:   # Full solve tensor AMR
1655:   test:
1656:     suffix: quad_q1_adapt_0
1657:     requires: p4est
1658:     args: -run_type exact -dm_plex_simplex 0 -dm_plex_convert_type p4est -bc_type dirichlet -petscspace_degree 1 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -dm_forest_initial_refinement 4 -snes_adapt_initial 1 -dm_view
1659:     filter: grep -v DM_

1661:   test:
1662:     suffix: amr_0
1663:     nsize: 5
1664:     args: -run_type test -petscpartitioner_type simple -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_refine 1

1666:   test:
1667:     suffix: amr_1
1668:     requires: p4est !complex
1669:     args: -run_type test -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_plex_convert_type p4est -dm_p4est_refine_pattern center -dm_forest_maximum_refinement 5 -dm_view vtk:amr.vtu:vtk_vtu -vec_view vtk:amr.vtu:vtk_vtu:append

1671:   test:
1672:     suffix: p4est_solve_bddc
1673:     requires: p4est !complex
1674:     args: -run_type full -variable_coefficient nonlinear -nonzero_initial_guess 1 -petscspace_degree 2 -snes_max_it 20 -snes_type newtonls -dm_mat_type is -pc_type bddc -ksp_type cg -snes_monitor_short -ksp_monitor -snes_linesearch_type bt -snes_converged_reason -snes_view -dm_plex_simplex 0 -petscspace_poly_tensor -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple -pc_bddc_detect_disconnected
1675:     nsize: 4

1677:   test:
1678:     suffix: p4est_solve_fas
1679:     requires: p4est
1680:     args: -run_type full -variable_coefficient nonlinear -nonzero_initial_guess 1 -petscspace_degree 2 -snes_max_it 10 -snes_type fas -snes_linesearch_type bt -snes_fas_levels 3 -fas_coarse_snes_type newtonls -fas_coarse_snes_linesearch_type basic -fas_coarse_ksp_type cg -fas_coarse_pc_type jacobi -fas_coarse_snes_monitor_short -fas_levels_snes_max_it 4 -fas_levels_snes_type newtonls -fas_levels_snes_linesearch_type bt -fas_levels_ksp_type cg -fas_levels_pc_type jacobi -fas_levels_snes_monitor_short -fas_levels_cycle_snes_linesearch_type bt -snes_monitor_short -snes_converged_reason -snes_view -dm_plex_simplex 0 -petscspace_poly_tensor -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash
1681:     nsize: 4
1682:     TODO: identical machine two runs produce slightly different solver trackers

1684:   test:
1685:     suffix: p4est_convergence_test_1
1686:     requires: p4est
1687:     args: -quiet -run_type test -petscspace_degree 1 -dm_plex_simplex 0 -petscspace_poly_tensor -dm_plex_convert_type p4est -dm_forest_minimum_refinement 2 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash
1688:     nsize: 4

1690:   # Serial tests with GLVis visualization
1691:   test:
1692:     suffix: glvis_2d_tet_p1
1693:     args: -quiet -run_type test -bc_type dirichlet -petscspace_degree 1 -vec_view glvis: -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/square_periodic.msh -dm_plex_boundary_label marker -dm_plex_gmsh_periodic 0 -dm_coord_space 0
1694:   test:
1695:     suffix: glvis_2d_tet_p2
1696:     args: -quiet -run_type test -bc_type dirichlet -petscspace_degree 2 -vec_view glvis: -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/square_periodic.msh -dm_plex_boundary_label marker -dm_plex_gmsh_periodic 0 -dm_coord_space 0
1697:   test:
1698:     suffix: glvis_2d_hex_p1
1699:     args: -quiet -run_type test -bc_type dirichlet -petscspace_degree 1 -vec_view glvis: -dm_plex_simplex 0 -dm_refine 1 -dm_coord_space 0
1700:   test:
1701:     suffix: glvis_2d_hex_p2
1702:     args: -quiet -run_type test -bc_type dirichlet -petscspace_degree 2 -vec_view glvis: -dm_plex_simplex 0 -dm_refine 1 -dm_coord_space 0
1703:   test:
1704:     suffix: glvis_2d_hex_p2_p4est
1705:     requires: p4est
1706:     args: -quiet -run_type test -bc_type dirichlet -petscspace_degree 2 -vec_view glvis: -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 1 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -viewer_glvis_dm_plex_enable_ncmesh
1707:   test:
1708:     suffix: glvis_2d_tet_p0
1709:     args: -run_type exact -guess_vec_view glvis: -nonzero_initial_guess 1 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/square_periodic.msh -dm_plex_boundary_label marker -petscspace_degree 0 -dm_coord_space 0 -pc_type jacobi
1710:   test:
1711:     suffix: glvis_2d_hex_p0
1712:     args: -run_type exact -guess_vec_view glvis: -nonzero_initial_guess 1 -dm_plex_box_faces 5,7 -dm_plex_simplex 0 -petscspace_degree 0 -dm_coord_space 0 -pc_type jacobi

1714:   # PCHPDDM tests
1715:   testset:
1716:     nsize: 4
1717:     requires: hpddm slepc !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1718:     args: -run_type test -run_test_check_ksp -quiet -petscspace_degree 1 -petscpartitioner_type simple -bc_type none -dm_plex_simplex 0 -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type lu -pc_hpddm_levels_1_eps_nev 2 -pc_hpddm_coarse_p 1 -pc_hpddm_coarse_pc_type svd -ksp_rtol 1.e-10 -pc_hpddm_levels_1_st_pc_factor_shift_type INBLOCKS -ksp_converged_reason
1719:     test:
1720:       suffix: quad_singular_hpddm
1721:       args: -dm_plex_box_faces 6,7
1722:     test:
1723:       requires: p4est
1724:       suffix: p4est_singular_2d_hpddm
1725:       args: -dm_plex_convert_type p4est -dm_forest_minimum_refinement 1 -dm_forest_initial_refinement 3 -dm_forest_maximum_refinement 3
1726:     test:
1727:       requires: p4est
1728:       suffix: p4est_nc_singular_2d_hpddm
1729:       args: -dm_plex_convert_type p4est -dm_forest_minimum_refinement 1 -dm_forest_initial_refinement 1 -dm_forest_maximum_refinement 3 -dm_p4est_refine_pattern hash
1730:   testset:
1731:     nsize: 4
1732:     requires: hpddm slepc triangle !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1733:     args: -run_type full -petscpartitioner_type simple -dm_refine 2 -bc_type dirichlet -petscspace_degree 2 -ksp_type gmres -ksp_gmres_restart 100 -pc_type hpddm -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0 -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type lu -pc_hpddm_levels_1_eps_nev 4 -pc_hpddm_coarse_p 2 -pc_hpddm_coarse_pc_type redundant -ksp_rtol 1.e-1
1734:     test:
1735:       args: -pc_hpddm_coarse_mat_type baij -options_left no
1736:       suffix: tri_hpddm_reuse_baij
1737:     test:
1738:       requires: !complex
1739:       suffix: tri_hpddm_reuse
1740:   testset:
1741:     nsize: 4
1742:     requires: hpddm slepc !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1743:     args: -run_type full -petscpartitioner_type simple -dm_plex_box_faces 7,5 -dm_refine 2 -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 2 -ksp_type gmres -ksp_gmres_restart 100 -pc_type hpddm -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0 -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type lu -pc_hpddm_levels_1_eps_nev 4 -pc_hpddm_coarse_p 2 -pc_hpddm_coarse_pc_type redundant -ksp_rtol 1.e-1
1744:     test:
1745:       args: -pc_hpddm_coarse_mat_type baij -options_left no
1746:       suffix: quad_hpddm_reuse_baij
1747:     test:
1748:       requires: !complex
1749:       suffix: quad_hpddm_reuse
1750:   testset:
1751:     nsize: 4
1752:     requires: hpddm slepc !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1753:     args: -run_type full -petscpartitioner_type simple -dm_plex_box_faces 7,5 -dm_refine 2 -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -pc_type hpddm -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0 -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type lu -pc_hpddm_levels_1_eps_threshold_absolute 0.1 -pc_hpddm_coarse_p 2 -pc_hpddm_coarse_pc_type redundant -ksp_rtol 1.e-1
1754:     test:
1755:       args: -pc_hpddm_coarse_mat_type baij -options_left no
1756:       suffix: quad_hpddm_reuse_threshold_baij
1757:     test:
1758:       requires: !complex
1759:       suffix: quad_hpddm_reuse_threshold
1760:   testset:
1761:     nsize: 4
1762:     requires: hpddm slepc parmetis !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1763:     filter: sed -e "s/linear solver iterations=17/linear solver iterations=16/g"
1764:     args: -run_type full -petscpartitioner_type parmetis -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -pc_type hpddm -snes_monitor_short -snes_converged_reason ::ascii_info_detail -snes_view -show_solution 0 -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type icc -pc_hpddm_levels_1_eps_nev 20 -pc_hpddm_coarse_p 2 -pc_hpddm_coarse_pc_type redundant -ksp_rtol 1.e-10 -dm_plex_filename ${PETSC_DIR}/share/petsc/datafiles/meshes/square_periodic.msh -dm_plex_boundary_label marker -pc_hpddm_levels_1_sub_pc_factor_levels 3 -variable_coefficient ball -dm_plex_gmsh_periodic 0 -fp_trap 0
1765:     test:
1766:       args: -pc_hpddm_coarse_mat_type baij -options_left no
1767:       filter: grep -v "      total: nonzeros=" | grep -v "      rows=" | sed -e "s/total number of linear solver iterations=[1-2][4-7]/total number of linear solver iterations=16/g"
1768:       suffix: tri_parmetis_hpddm_baij
1769:     test:
1770:       filter: grep -v "      total: nonzeros=" | grep -v "      rows=" | sed -e "s/total number of linear solver iterations=[1-2][4-7]/total number of linear solver iterations=16/g"
1771:       requires: !complex
1772:       suffix: tri_parmetis_hpddm

1774:   # 2D serial P1 tests for adaptive MG
1775:   test:
1776:     suffix: 2d_p1_adaptmg_0
1777:     requires: triangle
1778:     args: -petscpartitioner_type simple -dm_refine_hierarchy 3 -dm_plex_box_faces 4,4 -bc_type dirichlet -petscspace_degree 1 \
1779:           -variable_coefficient checkerboard_0 -mat_petscspace_degree 0 -div 16 -k 3 \
1780:           -snes_max_it 1 -ksp_converged_reason \
1781:           -ksp_rtol 1e-8 -pc_type mg
1782:   test:
1783:     suffix: 2d_p1_adaptmg_1
1784:     requires: triangle bamg
1785:     args: -petscpartitioner_type simple -dm_refine_hierarchy 3 -dm_plex_box_faces 4,4 -bc_type dirichlet -petscspace_degree 1 \
1786:           -variable_coefficient checkerboard_0 -mat_petscspace_degree 0 -div 16 -k 3 \
1787:           -snes_max_it 1 -ksp_converged_reason \
1788:           -ksp_rtol 1e-8 -pc_type mg -pc_mg_galerkin -pc_mg_adapt_interp_coarse_space eigenvector -pc_mg_adapt_interp_n 1 \
1789:             -pc_mg_mesp_ksp_type richardson -pc_mg_mesp_ksp_richardson_self_scale -pc_mg_mesp_ksp_max_it 100 -pc_mg_mesp_pc_type none
1790:   test:
1791:     suffix: 2d_p1_adaptmg_gdsw
1792:     requires: triangle
1793:     nsize: 4
1794:     args: -petscpartitioner_type simple -dm_refine 3 -dm_plex_box_faces 4,4 -bc_type dirichlet -petscspace_degree 1 \
1795:           -variable_coefficient checkerboard_0 -mat_petscspace_degree 0 -div 16 -k 3 \
1796:           -snes_max_it 1 -ksp_converged_reason \
1797:           -ksp_rtol 1e-8 -pc_type mg -pc_mg_galerkin -pc_mg_adapt_interp_coarse_space gdsw -pc_mg_levels 2 -mg_levels_pc_type asm -dm_mat_type {{aij is}}

1799:   test:
1800:     suffix: 2d_p1_adaptmg_agdsw
1801:     requires: triangle mumps
1802:     nsize: 4
1803:     args: -petscpartitioner_type simple -dm_refine 3 -dm_plex_box_faces 4,4 -bc_type dirichlet -petscspace_degree 1 \
1804:           -variable_coefficient checkerboard_0 -mat_petscspace_degree 0 -div 16 -k 3 \
1805:           -snes_max_it 1 -ksp_converged_reason \
1806:           -ksp_rtol 1e-8 -pc_type mg -pc_mg_galerkin -pc_mg_adapt_interp_coarse_space gdsw -pc_mg_levels 2 -mg_levels_pc_type asm -dm_mat_type is -mg_levels_gdsw_tolerance 0.1 -mg_levels_gdsw_pseudo_pc_type qr

1808:   test:
1809:     suffix: p4est_2d_asm
1810:     requires: p4est
1811:     nsize: 4
1812:     args: -run_type test -run_test_check_ksp -quiet -petscspace_degree 1 -petscpartitioner_type simple -bc_type none -dm_plex_simplex 0 \
1813:           -pc_type asm -ksp_converged_reason -dm_plex_convert_type p4est -dm_forest_minimum_refinement 1 -dm_forest_initial_refinement 3 -dm_forest_maximum_refinement 5 \
1814:           -pc_asm_dm_subdomains -dm_p4est_refine_pattern hash -dm_plex_dd_overlap 1 -sub_pc_type lu

1816: TEST*/