Actual source code: petscsnes.h
1: /*
2: User interface for the nonlinear solvers package.
3: */
4: #pragma once
6: #include <petscksp.h>
7: #include <petscdmtypes.h>
8: #include <petscfvtypes.h>
9: #include <petscdmdatypes.h>
10: #include <petscsnestypes.h>
12: /* SUBMANSEC = SNES */
14: /*J
15: SNESType - String with the name of a PETSc `SNES` method. These are all the nonlinear solvers that PETSc provides.
17: Level: beginner
19: Note:
20: Use `SNESSetType()` or the options database key `-snes_type` to set the specific nonlinear solver algorithm to use with a given `SNES` object
22: .seealso: [](doc_nonlinsolve), [](ch_snes), `SNESSetType()`, `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFromOptions()`
23: J*/
24: typedef const char *SNESType;
25: #define SNESNEWTONLS "newtonls"
26: #define SNESNEWTONTR "newtontr"
27: #define SNESNEWTONTRDC "newtontrdc"
28: #define SNESPYTHON "python"
29: #define SNESNRICHARDSON "nrichardson"
30: #define SNESKSPONLY "ksponly"
31: #define SNESKSPTRANSPOSEONLY "ksptransposeonly"
32: #define SNESVINEWTONRSLS "vinewtonrsls"
33: #define SNESVINEWTONSSLS "vinewtonssls"
34: #define SNESNGMRES "ngmres"
35: #define SNESQN "qn"
36: #define SNESSHELL "shell"
37: #define SNESNGS "ngs"
38: #define SNESNCG "ncg"
39: #define SNESFAS "fas"
40: #define SNESMS "ms"
41: #define SNESNASM "nasm"
42: #define SNESANDERSON "anderson"
43: #define SNESASPIN "aspin"
44: #define SNESCOMPOSITE "composite"
45: #define SNESPATCH "patch"
46: #define SNESNEWTONAL "newtonal"
48: /* Logging support */
49: PETSC_EXTERN PetscClassId SNES_CLASSID;
50: PETSC_EXTERN PetscClassId DMSNES_CLASSID;
52: PETSC_EXTERN PetscErrorCode SNESInitializePackage(void);
53: PETSC_EXTERN PetscErrorCode SNESFinalizePackage(void);
55: PETSC_EXTERN PetscErrorCode SNESCreate(MPI_Comm, SNES *);
56: PETSC_EXTERN PetscErrorCode SNESParametersInitialize(SNES);
57: PETSC_EXTERN PetscErrorCode SNESReset(SNES);
58: PETSC_EXTERN PetscErrorCode SNESDestroy(SNES *);
59: PETSC_EXTERN PetscErrorCode SNESSetType(SNES, SNESType);
60: PETSC_EXTERN PetscErrorCode SNESMonitor(SNES, PetscInt, PetscReal);
61: PETSC_EXTERN PetscErrorCode SNESMonitorSet(SNES, PetscErrorCode (*)(SNES, PetscInt, PetscReal, void *), void *, PetscCtxDestroyFn *);
62: PETSC_EXTERN PetscErrorCode SNESMonitorSetFromOptions(SNES, const char[], const char[], const char[], PetscErrorCode (*)(SNES, PetscInt, PetscReal, PetscViewerAndFormat *), PetscErrorCode (*)(SNES, PetscViewerAndFormat *));
63: PETSC_EXTERN PetscErrorCode SNESMonitorCancel(SNES);
64: PETSC_EXTERN PetscErrorCode SNESMonitorSAWs(SNES, PetscInt, PetscReal, void *);
65: PETSC_EXTERN PetscErrorCode SNESMonitorSAWsCreate(SNES, void **);
66: PETSC_EXTERN PetscErrorCode SNESMonitorSAWsDestroy(void **);
67: PETSC_EXTERN PetscErrorCode SNESSetConvergenceHistory(SNES, PetscReal[], PetscInt[], PetscInt, PetscBool);
68: PETSC_EXTERN PetscErrorCode SNESGetConvergenceHistory(SNES, PetscReal *[], PetscInt *[], PetscInt *);
69: PETSC_EXTERN PetscErrorCode SNESSetUp(SNES);
70: PETSC_EXTERN PetscErrorCode SNESSolve(SNES, Vec, Vec);
71: PETSC_EXTERN PetscErrorCode SNESSetErrorIfNotConverged(SNES, PetscBool);
72: PETSC_EXTERN PetscErrorCode SNESGetErrorIfNotConverged(SNES, PetscBool *);
73: PETSC_EXTERN PetscErrorCode SNESConverged(SNES, PetscInt, PetscReal, PetscReal, PetscReal);
75: PETSC_EXTERN PetscErrorCode SNESSetWorkVecs(SNES, PetscInt);
77: PETSC_EXTERN PetscErrorCode SNESAddOptionsChecker(PetscErrorCode (*)(SNES));
79: PETSC_EXTERN PetscErrorCode SNESRegister(const char[], PetscErrorCode (*)(SNES));
81: PETSC_EXTERN PetscErrorCode SNESGetKSP(SNES, KSP *);
82: PETSC_EXTERN PetscErrorCode SNESSetKSP(SNES, KSP);
83: PETSC_EXTERN PetscErrorCode SNESSetSolution(SNES, Vec);
84: PETSC_EXTERN PetscErrorCode SNESGetSolution(SNES, Vec *);
85: PETSC_EXTERN PetscErrorCode SNESGetSolutionUpdate(SNES, Vec *);
86: PETSC_EXTERN PetscErrorCode SNESGetRhs(SNES, Vec *);
87: PETSC_EXTERN PetscErrorCode SNESView(SNES, PetscViewer);
88: PETSC_EXTERN PetscErrorCode SNESLoad(SNES, PetscViewer);
89: PETSC_EXTERN PetscErrorCode SNESConvergedReasonViewSet(SNES, PetscErrorCode (*)(SNES, void *), void *, PetscCtxDestroyFn *);
90: PETSC_EXTERN PetscErrorCode SNESViewFromOptions(SNES, PetscObject, const char[]);
91: PETSC_EXTERN PetscErrorCode SNESConvergedReasonView(SNES, PetscViewer);
92: PETSC_EXTERN PetscErrorCode SNESConvergedReasonViewFromOptions(SNES);
93: PETSC_EXTERN PetscErrorCode SNESConvergedReasonViewCancel(SNES);
95: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "SNESConvergedReasonView()", ) static inline PetscErrorCode SNESReasonView(SNES snes, PetscViewer v)
96: {
97: return SNESConvergedReasonView(snes, v);
98: }
99: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "SNESConvergedReasonViewFromOptions()", ) static inline PetscErrorCode SNESReasonViewFromOptions(SNES snes)
100: {
101: return SNESConvergedReasonViewFromOptions(snes);
102: }
104: #define SNES_FILE_CLASSID 1211224
106: PETSC_EXTERN PetscErrorCode SNESSetOptionsPrefix(SNES, const char[]);
107: PETSC_EXTERN PetscErrorCode SNESAppendOptionsPrefix(SNES, const char[]);
108: PETSC_EXTERN PetscErrorCode SNESGetOptionsPrefix(SNES, const char *[]);
109: PETSC_EXTERN PetscErrorCode SNESSetFromOptions(SNES);
110: PETSC_EXTERN PetscErrorCode SNESResetFromOptions(SNES);
112: PETSC_EXTERN PetscErrorCode SNESSetUseMatrixFree(SNES, PetscBool, PetscBool);
113: PETSC_EXTERN PetscErrorCode SNESGetUseMatrixFree(SNES, PetscBool *, PetscBool *);
114: PETSC_EXTERN PetscErrorCode MatCreateSNESMF(SNES, Mat *);
115: PETSC_EXTERN PetscErrorCode MatSNESMFGetSNES(Mat, SNES *);
116: PETSC_EXTERN PetscErrorCode MatSNESMFSetReuseBase(Mat, PetscBool);
117: PETSC_EXTERN PetscErrorCode MatSNESMFGetReuseBase(Mat, PetscBool *);
118: PETSC_EXTERN PetscErrorCode MatMFFDComputeJacobian(SNES, Vec, Mat, Mat, void *);
119: PETSC_EXTERN PetscErrorCode MatCreateSNESMFMore(SNES, Vec, Mat *);
120: PETSC_EXTERN PetscErrorCode MatSNESMFMoreSetParameters(Mat, PetscReal, PetscReal, PetscReal);
122: PETSC_EXTERN PetscErrorCode SNESGetType(SNES, SNESType *);
123: PETSC_EXTERN PetscErrorCode SNESMonitorDefaultSetUp(SNES, PetscViewerAndFormat *);
124: PETSC_EXTERN PetscErrorCode SNESMonitorDefault(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
125: PETSC_EXTERN PetscErrorCode SNESMonitorScaling(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
126: PETSC_EXTERN PetscErrorCode SNESMonitorRange(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
127: PETSC_EXTERN PetscErrorCode SNESMonitorRatio(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
128: PETSC_EXTERN PetscErrorCode SNESMonitorRatioSetUp(SNES, PetscViewerAndFormat *);
129: PETSC_EXTERN PetscErrorCode SNESMonitorSolution(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
130: PETSC_EXTERN PetscErrorCode SNESMonitorResidual(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
131: PETSC_EXTERN PetscErrorCode SNESMonitorSolutionUpdate(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
132: PETSC_EXTERN PetscErrorCode SNESMonitorDefaultShort(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
133: PETSC_EXTERN PetscErrorCode SNESMonitorDefaultField(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
134: PETSC_EXTERN PetscErrorCode SNESMonitorJacUpdateSpectrum(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
135: PETSC_EXTERN PetscErrorCode SNESMonitorFields(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
136: PETSC_EXTERN PetscErrorCode KSPMonitorSNESResidual(KSP, PetscInt, PetscReal, PetscViewerAndFormat *);
137: PETSC_EXTERN PetscErrorCode KSPMonitorSNESResidualDrawLG(KSP, PetscInt, PetscReal, PetscViewerAndFormat *);
138: PETSC_EXTERN PetscErrorCode KSPMonitorSNESResidualDrawLGCreate(PetscViewer, PetscViewerFormat, void *, PetscViewerAndFormat **);
140: PETSC_EXTERN PetscErrorCode SNESSetTolerances(SNES, PetscReal, PetscReal, PetscReal, PetscInt, PetscInt);
141: PETSC_EXTERN PetscErrorCode SNESSetDivergenceTolerance(SNES, PetscReal);
142: PETSC_EXTERN PetscErrorCode SNESGetTolerances(SNES, PetscReal *, PetscReal *, PetscReal *, PetscInt *, PetscInt *);
143: PETSC_EXTERN PetscErrorCode SNESGetDivergenceTolerance(SNES, PetscReal *);
144: PETSC_EXTERN PetscErrorCode SNESGetForceIteration(SNES, PetscBool *);
145: PETSC_EXTERN PetscErrorCode SNESSetForceIteration(SNES, PetscBool);
146: PETSC_EXTERN PetscErrorCode SNESGetIterationNumber(SNES, PetscInt *);
147: PETSC_EXTERN PetscErrorCode SNESSetIterationNumber(SNES, PetscInt);
149: /*E
150: SNESNewtonTRFallbackType - type of fallback in case the solution of the trust-region subproblem is outside of the radius
152: Values:
153: + `SNES_TR_FALLBACK_NEWTON` - use scaled Newton step
154: . `SNES_TR_FALLBACK_CAUCHY` - use Cauchy direction
155: - `SNES_TR_FALLBACK_DOGLEG` - use dogleg method
157: Level: intermediate
159: .seealso: [](ch_snes), `SNES`, `SNESNEWTONTR`, `SNESNEWTONTRDC`
160: E*/
161: typedef enum {
162: SNES_TR_FALLBACK_NEWTON,
163: SNES_TR_FALLBACK_CAUCHY,
164: SNES_TR_FALLBACK_DOGLEG,
165: } SNESNewtonTRFallbackType;
167: PETSC_EXTERN const char *const SNESNewtonTRFallbackTypes[];
169: PETSC_EXTERN PetscErrorCode SNESNewtonTRSetPreCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, PetscBool *, void *), void *ctx);
170: PETSC_EXTERN PetscErrorCode SNESNewtonTRGetPreCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, PetscBool *, void *), void **ctx);
171: PETSC_EXTERN PetscErrorCode SNESNewtonTRSetPostCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void *ctx);
172: PETSC_EXTERN PetscErrorCode SNESNewtonTRGetPostCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void **ctx);
173: PETSC_EXTERN PetscErrorCode SNESNewtonTRSetFallbackType(SNES, SNESNewtonTRFallbackType);
174: PETSC_EXTERN PetscErrorCode SNESNewtonTRPreCheck(SNES, Vec, Vec, PetscBool *);
175: PETSC_EXTERN PetscErrorCode SNESNewtonTRPostCheck(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *);
176: PETSC_EXTERN PetscErrorCode SNESNewtonTRSetNormType(SNES, NormType);
178: /*E
179: SNESNewtonTRQNType - type of quasi-Newton model to use
181: Values:
182: + `SNES_TR_QN_NONE` - do not use a quasi-Newton model
183: . `SNES_TR_QN_SAME` - use the same quasi-Newton model for matrix and preconditioner
184: - `SNES_TR_QN_DIFFERENT` - use different quasi-Newton models for matrix and preconditioner
186: Level: intermediate
188: .seealso: [](ch_snes), `SNES`, `SNESNEWTONTR`
189: E*/
190: typedef enum {
191: SNES_TR_QN_NONE,
192: SNES_TR_QN_SAME,
193: SNES_TR_QN_DIFFERENT,
194: } SNESNewtonTRQNType;
196: PETSC_EXTERN const char *const SNESNewtonTRQNTypes[];
198: PETSC_EXTERN PetscErrorCode SNESNewtonTRSetQNType(SNES, SNESNewtonTRQNType);
200: PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 22, 0, "SNESNewtonTRSetTolerances()", ) PetscErrorCode SNESSetTrustRegionTolerance(SNES, PetscReal);
201: PETSC_EXTERN PetscErrorCode SNESNewtonTRSetTolerances(SNES, PetscReal, PetscReal, PetscReal);
202: PETSC_EXTERN PetscErrorCode SNESNewtonTRGetTolerances(SNES, PetscReal *, PetscReal *, PetscReal *);
203: PETSC_EXTERN PetscErrorCode SNESNewtonTRSetUpdateParameters(SNES, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal);
204: PETSC_EXTERN PetscErrorCode SNESNewtonTRGetUpdateParameters(SNES, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *);
206: PETSC_EXTERN PetscErrorCode SNESNewtonTRDCGetRhoFlag(SNES, PetscBool *);
207: PETSC_EXTERN PetscErrorCode SNESNewtonTRDCSetPreCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, PetscBool *, void *), void *ctx);
208: PETSC_EXTERN PetscErrorCode SNESNewtonTRDCGetPreCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, PetscBool *, void *), void **ctx);
209: PETSC_EXTERN PetscErrorCode SNESNewtonTRDCSetPostCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void *ctx);
210: PETSC_EXTERN PetscErrorCode SNESNewtonTRDCGetPostCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void **ctx);
212: PETSC_EXTERN PetscErrorCode SNESGetNonlinearStepFailures(SNES, PetscInt *);
213: PETSC_EXTERN PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES, PetscInt);
214: PETSC_EXTERN PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES, PetscInt *);
215: PETSC_EXTERN PetscErrorCode SNESGetNumberFunctionEvals(SNES, PetscInt *);
217: PETSC_EXTERN PetscErrorCode SNESSetLagPreconditioner(SNES, PetscInt);
218: PETSC_EXTERN PetscErrorCode SNESGetLagPreconditioner(SNES, PetscInt *);
219: PETSC_EXTERN PetscErrorCode SNESSetLagJacobian(SNES, PetscInt);
220: PETSC_EXTERN PetscErrorCode SNESGetLagJacobian(SNES, PetscInt *);
221: PETSC_EXTERN PetscErrorCode SNESSetLagPreconditionerPersists(SNES, PetscBool);
222: PETSC_EXTERN PetscErrorCode SNESSetLagJacobianPersists(SNES, PetscBool);
223: PETSC_EXTERN PetscErrorCode SNESSetGridSequence(SNES, PetscInt);
224: PETSC_EXTERN PetscErrorCode SNESGetGridSequence(SNES, PetscInt *);
226: PETSC_EXTERN PetscErrorCode SNESGetLinearSolveIterations(SNES, PetscInt *);
227: PETSC_EXTERN PetscErrorCode SNESGetLinearSolveFailures(SNES, PetscInt *);
228: PETSC_EXTERN PetscErrorCode SNESSetMaxLinearSolveFailures(SNES, PetscInt);
229: PETSC_EXTERN PetscErrorCode SNESGetMaxLinearSolveFailures(SNES, PetscInt *);
230: PETSC_EXTERN PetscErrorCode SNESSetCountersReset(SNES, PetscBool);
231: PETSC_EXTERN PetscErrorCode SNESResetCounters(SNES);
233: PETSC_EXTERN PetscErrorCode SNESKSPSetUseEW(SNES, PetscBool);
234: PETSC_EXTERN PetscErrorCode SNESKSPGetUseEW(SNES, PetscBool *);
235: PETSC_EXTERN PetscErrorCode SNESKSPSetParametersEW(SNES, PetscInt, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal);
236: PETSC_EXTERN PetscErrorCode SNESKSPGetParametersEW(SNES, PetscInt *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *);
238: PETSC_EXTERN PetscErrorCode SNESMonitorLGRange(SNES, PetscInt, PetscReal, void *);
240: PETSC_EXTERN PetscErrorCode SNESSetApplicationContext(SNES, void *);
241: PETSC_EXTERN PetscErrorCode SNESGetApplicationContext(SNES, void *);
242: PETSC_EXTERN PetscErrorCode SNESSetComputeApplicationContext(SNES, PetscErrorCode (*)(SNES, void **), PetscCtxDestroyFn *);
244: PETSC_EXTERN PetscErrorCode SNESPythonSetType(SNES, const char[]);
245: PETSC_EXTERN PetscErrorCode SNESPythonGetType(SNES, const char *[]);
247: PETSC_EXTERN PetscErrorCode SNESSetFunctionDomainError(SNES);
248: PETSC_EXTERN PetscErrorCode SNESSetObjectiveDomainError(SNES);
249: PETSC_EXTERN PetscErrorCode SNESSetJacobianDomainError(SNES);
250: PETSC_EXTERN PetscErrorCode SNESSetCheckJacobianDomainError(SNES, PetscBool);
251: PETSC_EXTERN PetscErrorCode SNESGetCheckJacobianDomainError(SNES, PetscBool *);
253: #define SNES_CONVERGED_TR_DELTA_DEPRECATED SNES_CONVERGED_TR_DELTA PETSC_DEPRECATED_ENUM(3, 12, 0, "SNES_DIVERGED_TR_DELTA", )
254: #define SNES_DIVERGED_FNORM_NAN_DEPRECATED SNES_DIVERGED_FNORM_NAN PETSC_DEPRECATED_ENUM(3, 25, 0, "SNES_DIVERGED_FUNCTION_NANORINF", )
255: /*E
256: SNESConvergedReason - reason a `SNESSolve()` was determined to have converged or diverged
258: Values:
259: + `SNES_CONVERGED_FNORM_ABS` - $ ||F|| \le abstol $
260: . `SNES_CONVERGED_FNORM_RELATIVE` - $ ||F|| <= rtol*||F(x_0))|| $ where $x_0 $ is the initial guess
261: . `SNES_CONVERGED_SNORM_RELATIVE` - The 2-norm of the last step $ \le stol * ||x|| $ where $ x $ is the current solution
262: . `SNES_CONVERGED_USER` - The user has indicated convergence for an arbitrary reason
263: . `SNES_DIVERGED_FUNCTION_COUNT` - The user provided function has been called more times than the maximum set in `SNESSetTolerances()`
264: . `SNES_DIVERGED_DTOL` - The norm of the function has increased by a factor of divtol set with `SNESSetDivergenceTolerance()`
265: . `SNES_DIVERGED_FUNCTION_NANORINF` - the 2-norm of the current function evaluation is not-a-number (NaN) or infinity, (this
266: is usually caused by a division of 0 by 0) and the solver could not recover from this (by, for example, cutting the step size)
267: . `SNES_DIVERGED_OBJECTIVE_NANORINF` - the object function evaluation is not-a-number (NaN) or infinity, (this
268: is usually caused by a division of 0 by 0) and the solver could not recover from this (by, for example, cutting the step size)
269: . `SNES_DIVERGED_FUNCTION_DOMAIN` - the function evaluation occurred outside the function's domain (function callback provided by
270: `SNESSetFunction()` called `SNESSetObjectiveDomainError()`) and the solver could not recover from this (by, for example, cutting the step size)
271: . `SNES_DIVERGED_OBJECTIVE_DOMAIN` - the object function evaluation occurred outside the function's domain (function callback provided by
272: `SNESSetObjective()` called `SNESSetObjectiveDomainError()`) and the solver could not recover from this (by, for example, cutting the step size)
273: . `SNES_DIVERGED_JACOBIAN_DOMAIN` - the Jacobian evaluation occurred outside the function's domain (function callback provided by
274: `SNESSetJacobian()` called `SNESSetJacobianDomainError()`)
275: . `SNES_DIVERGED_MAX_IT` - `SNESSolve()` has reached the maximum number of iterations requested
276: . `SNES_DIVERGED_LINE_SEARCH` - The line search has failed. This only occurs for `SNES` solvers that use a line search
277: . `SNES_DIVERGED_LOCAL_MIN` - the algorithm seems to have stagnated at a local minimum that is not zero.
278: - `SNES_CONVERGED_ITERATING - this only occurs if `SNESGetConvergedReason()` is called during the `SNESSolve()`
280: Level: beginner
282: Notes:
283: The two most common reasons for divergence are an incorrectly coded or computed Jacobian or failure or lack of convergence in the linear system
284: (in this case we recommend
285: testing with `-pc_type lu` to eliminate the linear solver as the cause of the problem).
287: `SNES_DIVERGED_LOCAL_MIN` can only occur when using a `SNES` solver that uses a line search (`SNESLineSearch`).
288: The line search wants to $ \min Q(\alpha) = 1/2 || F(x + \alpha s) ||^2_2 $ this occurs
289: at $ Q'(\alpha) = s^T F'(x+\alpha s)^T F(x+\alpha s) = 0$. If $s$ is the Newton direction $ - F'(x)^(-1)F(x)$ then
290: $ Q'(\alpha) = -F(x)^T F'(x)^(-1)^T F'(x+\alpha s)F(x+\alpha s)$; when $\alpha = 0$
291: $Q'(0) = - ||F(x)||^2_2 $ which is always NEGATIVE if $F'(x)$ is invertible. This means the Newton
292: direction is a descent direction and the line search should succeed if $\alpha $ is small enough.
294: If $F'(x)$ is NOT invertible AND $F'(x)^T F(x) = 0 $ then $Q'(0) = 0 $ and the Newton direction
295: is NOT a descent direction so the line search will fail. All one can do at this point
296: is change the initial guess and try again.
298: An alternative explanation: Newton's method can be regarded as replacing the function with
299: its linear approximation and minimizing the 2-norm of that. That is $F(x+s) \approx F(x) + F'(x)s$
300: so we minimize $ || F(x) + F'(x) s ||^2_2$ using Least Squares. If $F'(x)$ is invertible then
301: $s = - F'(x)^(-1)F(x)$ otherwise $F'(x)^T F'(x) s = -F'(x)^T F(x)$. If $F'(x)^T F(x)$ is NOT zero then there
302: exists a nontrivial (that is $F'(x)s \ne 0$) solution to the equation and this direction is
303: $s = - [F'(x)^T F'(x)]^(-1) F'(x)^T F(x)$ so $Q'(0) = - F(x)^T F'(x) [F'(x)^T F'(x)]^(-T) F'(x)^T F(x)
304: = - (F'(x)^T F(x)) [F'(x)^T F'(x)]^(-T) (F'(x)^T F(x))$. Since we are assuming $(F'(x)^T F(x)) \ne 0$
305: and $F'(x)^T F'(x)$ has no negative eigenvalues $Q'(0) < 0$ so $s$ is a descent direction and the line
306: search should succeed for small enough $\alpha$.
308: Note that this RARELY happens in practice. Far more likely the linear system is not being solved
309: (well enough?) or the Jacobian is wrong.
311: `SNES_DIVERGED_MAX_IT` means that the solver reached the maximum number of iterations without satisfying any
312: convergence criteria. `SNES_CONVERGED_ITS` means that `SNESConvergedSkip()` was chosen as the convergence test;
313: thus the usual convergence criteria have not been checked and may or may not be satisfied.
315: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPConvergedReason`, `SNESSetConvergenceTest()`, `SNESSetTolerances()`
316: E*/
317: typedef enum { /* converged */
318: SNES_CONVERGED_FNORM_ABS = 2, /* ||F|| < atol */
319: SNES_CONVERGED_FNORM_RELATIVE = 3, /* ||F|| < rtol*||F_initial|| */
320: SNES_CONVERGED_SNORM_RELATIVE = 4, /* Newton computed step size small; || delta x || < stol || x || */
321: SNES_CONVERGED_ITS = 5, /* maximum iterations reached */
322: SNES_BREAKOUT_INNER_ITER = 6, /* Flag to break out of inner loop after checking custom convergence, used in multi-phase flow when state changes */
323: SNES_CONVERGED_USER = 7, /* The user has indicated convergence for an arbitrary reason */
324: /* diverged */
325: SNES_DIVERGED_FUNCTION_DOMAIN = -1, /* the new x location passed the function is not in the domain of F */
326: SNES_DIVERGED_FUNCTION_COUNT = -2,
327: SNES_DIVERGED_LINEAR_SOLVE = -3, /* the linear solve failed */
328: SNES_DIVERGED_FUNCTION_NANORINF = -4,
329: SNES_DIVERGED_FNORM_NAN_DEPRECATED = -4,
330: SNES_DIVERGED_MAX_IT = -5,
331: SNES_DIVERGED_LINE_SEARCH = -6, /* the line search failed */
332: SNES_DIVERGED_INNER = -7, /* inner solve failed */
333: SNES_DIVERGED_LOCAL_MIN = -8, /* || J^T b || is small, implies converged to local minimum of F() */
334: SNES_DIVERGED_DTOL = -9, /* || F || > divtol*||F_initial|| */
335: SNES_DIVERGED_JACOBIAN_DOMAIN = -10, /* Jacobian calculation does not make sense */
336: SNES_DIVERGED_TR_DELTA = -11,
337: SNES_CONVERGED_TR_DELTA_DEPRECATED = -11,
338: SNES_DIVERGED_USER = -12, /* The user has indicated divergence for an arbitrary reason */
339: SNES_DIVERGED_OBJECTIVE_DOMAIN = -13,
340: SNES_DIVERGED_OBJECTIVE_NANORINF = -14,
342: SNES_CONVERGED_ITERATING = 0
343: } SNESConvergedReason;
344: PETSC_EXTERN const char *const *SNESConvergedReasons;
346: /*MC
347: SNES_CONVERGED_FNORM_ABS - $||F|| \le abstol$
349: Level: beginner
351: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
352: M*/
354: /*MC
355: SNES_CONVERGED_FNORM_RELATIVE - $||F|| \le rtol*||F(x_0)||$ where $x_0$ is the initial guess
357: Level: beginner
359: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
360: M*/
362: /*MC
363: SNES_CONVERGED_SNORM_RELATIVE - The 2-norm of the last step $\le stol * ||x||$ where $x$ is the current
364: solution and $stol$ is the 4th argument to `SNESSetTolerances()`
366: Options Database Key:
367: -snes_stol <stol> - the step tolerance
369: Level: beginner
371: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
372: M*/
374: /*MC
375: SNES_DIVERGED_FUNCTION_COUNT - The user provided function has been called more times then the final
376: argument to `SNESSetTolerances()`
378: Level: beginner
380: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
381: M*/
383: /*MC
384: SNES_DIVERGED_DTOL - The norm of the function has increased by a factor of divtol set with `SNESSetDivergenceTolerance()`
386: Level: beginner
388: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`, `SNESSetDivergenceTolerance()`
389: M*/
391: /*MC
392: SNES_DIVERGED_FUNCTION_NANORINF - the 2-norm of the current function evaluation is not-a-number (NaN) or infinity, this
393: is usually caused by a division of 0 by 0, or infinity. See `SNESSetFunctionDomainError()`
395: Level: beginner
397: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
398: M*/
400: /*MC
401: SNES_DIVERGED_FUNCTION_DOMAIN - the function provided with `SNESSetFunction()` called `SNESSetFunctionDomainError()` and
402: the solver could not recoverer.
404: Level: beginner
406: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
407: M*/
409: /*MC
410: SNES_DIVERGED_OBJECTIVE_DOMAIN - the function provided with `SNESSetObjective()` called `SNESSetObjectiveDomainError()` and
411: the solver could not recoverer.
413: Level: beginner
415: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
416: M*/
418: /*MC
419: SNES_DIVERGED_JACOBIAN_DOMAIN - the function provided with `SNESSetJacobian()` called `SNESSetJacobianDomainError()`
421: Level: beginner
423: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
424: M*/
426: /*MC
427: SNES_DIVERGED_MAX_IT - SNESSolve() has reached the maximum number of iterations requested
429: Level: beginner
431: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
432: M*/
434: /*MC
435: SNES_DIVERGED_LINE_SEARCH - The line search has failed. This only occurs for a `SNES` solvers that use a line search
437: Level: beginner
439: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`, `SNESLineSearch`
440: M*/
442: /*MC
443: SNES_DIVERGED_LOCAL_MIN - the algorithm seems to have stagnated at a local minimum that is not zero.
444: See the manual page for `SNESConvergedReason` for more details
446: Level: beginner
448: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
449: M*/
451: /*MC
452: SNES_CONERGED_ITERATING - this only occurs if `SNESGetConvergedReason()` is called during the `SNESSolve()`
454: Level: beginner
456: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
457: M*/
459: PETSC_EXTERN PetscErrorCode SNESSetConvergenceTest(SNES, PetscErrorCode (*)(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *), void *, PetscCtxDestroyFn *);
460: PETSC_EXTERN PetscErrorCode SNESConvergedDefault(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *);
461: PETSC_EXTERN PetscErrorCode SNESConvergedSkip(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *);
462: PETSC_EXTERN PetscErrorCode SNESConvergedCorrectPressure(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *);
463: PETSC_EXTERN PetscErrorCode SNESGetConvergedReason(SNES, SNESConvergedReason *);
464: PETSC_EXTERN PetscErrorCode SNESGetConvergedReasonString(SNES, const char **);
465: PETSC_EXTERN PetscErrorCode SNESSetConvergedReason(SNES, SNESConvergedReason);
467: PETSC_DEPRECATED_FUNCTION(3, 5, 0, "SNESConvergedSkip()", ) static inline void SNESSkipConverged(void)
468: { /* never called */
469: }
470: #define SNESSkipConverged (SNESSkipConverged, SNESConvergedSkip)
472: /*S
473: SNESInitialGuessFn - A prototype of a `SNES` compute initial guess function that would be passed to `SNESSetComputeInitialGuess()`
475: Calling Sequence:
476: + snes - `SNES` context
477: . u - output vector to contain initial guess
478: - ctx - [optional] user-defined function context
480: Level: beginner
482: .seealso: [](ch_snes), `SNES`, `SNESSetComputeInitialGuess()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`, `SNESFunctionFn`
483: S*/
484: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESInitialGuessFn(SNES snes, Vec u, void *ctx);
486: /*S
487: SNESFunctionFn - A prototype of a `SNES` evaluation function that would be passed to `SNESSetFunction()`
489: Calling Sequence:
490: + snes - `SNES` context
491: . u - input vector
492: . F - function vector
493: - ctx - [optional] user-defined function context
495: Level: beginner
497: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`, `SNESNGSFn`
498: S*/
499: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESFunctionFn(SNES snes, Vec u, Vec F, void *ctx);
501: /*S
502: SNESObjectiveFn - A prototype of a `SNES` objective evaluation function that would be passed to `SNESSetObjective()`
504: Calling Sequence:
505: + snes - `SNES` context
506: . u - input vector
507: . o - output value
508: - ctx - [optional] user-defined function context
510: Level: beginner
512: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`, `SNESNGSFn`
513: S*/
514: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESObjectiveFn(SNES snes, Vec u, PetscReal *o, void *ctx);
516: /*S
517: SNESJacobianFn - A prototype of a `SNES` Jacobian evaluation function that would be passed to `SNESSetJacobian()`
519: Calling Sequence:
520: + snes - the `SNES` context obtained from `SNESCreate()`
521: . u - input vector
522: . Amat - (approximate) Jacobian matrix
523: . Pmat - matrix used to construct the preconditioner, often the same as `Amat`
524: - ctx - [optional] user-defined context for matrix evaluation routine
526: Level: beginner
528: .seealso: [](ch_snes), `SNES`, `SNESSetJacobian()`, `SNESGetJacobian()`, `SNESFunctionFn`, `SNESNGSFn`
529: S*/
530: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESJacobianFn(SNES snes, Vec u, Mat Amat, Mat Pmat, void *ctx);
532: /*S
533: SNESNGSFn - A prototype of a `SNES` nonlinear Gauss-Seidel function that would be passed to `SNESSetNGS()`
535: Calling Sequence:
536: + snes - the `SNES` context obtained from `SNESCreate()`
537: . u - the current solution, updated in place
538: . b - the right-hand side vector (which may be `NULL`)
539: - ctx - [optional] user-defined context for matrix evaluation routine
541: Level: beginner
543: .seealso: [](ch_snes), `SNES`, `SNESSetJacobian()`, `SNESGetJacobian()`, `SNESFunctionFn`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`
544: S*/
545: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESNGSFn(SNES snes, Vec u, Vec b, void *ctx);
547: /*S
548: SNESUpdateFn - A prototype of a `SNES` update function that would be passed to `SNESSetUpdate()`
550: Calling Sequence:
551: + snes - `SNES` context
552: - step - the current iteration index
554: Level: advanced
556: .seealso: [](ch_snes), `SNES`, `SNESSetUpdate()`
557: S*/
558: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESUpdateFn(SNES snes, PetscInt step);
560: /* --------- Solving systems of nonlinear equations --------------- */
561: PETSC_EXTERN PetscErrorCode SNESSetFunction(SNES, Vec, SNESFunctionFn *, void *);
562: PETSC_EXTERN PetscErrorCode SNESGetFunction(SNES, Vec *, SNESFunctionFn **, void **);
563: PETSC_EXTERN PetscErrorCode SNESComputeFunction(SNES, Vec, Vec);
564: PETSC_EXTERN PetscErrorCode SNESComputeMFFunction(SNES, Vec, Vec);
565: PETSC_EXTERN PetscErrorCode SNESSetInitialFunction(SNES, Vec);
567: PETSC_EXTERN PetscErrorCode SNESSetJacobian(SNES, Mat, Mat, SNESJacobianFn *, void *);
568: PETSC_EXTERN PetscErrorCode SNESGetJacobian(SNES, Mat *, Mat *, SNESJacobianFn **, void **);
569: PETSC_EXTERN SNESFunctionFn SNESObjectiveComputeFunctionDefaultFD;
570: PETSC_EXTERN SNESJacobianFn SNESComputeJacobianDefault;
571: PETSC_EXTERN SNESJacobianFn SNESComputeJacobianDefaultColor;
572: PETSC_EXTERN PetscErrorCode SNESPruneJacobianColor(SNES, Mat, Mat);
573: PETSC_EXTERN PetscErrorCode SNESSetComputeInitialGuess(SNES, SNESInitialGuessFn *, void *);
574: PETSC_EXTERN PetscErrorCode SNESSetPicard(SNES, Vec, SNESFunctionFn *, Mat, Mat, SNESJacobianFn *, void *);
575: PETSC_EXTERN PetscErrorCode SNESGetPicard(SNES, Vec *, SNESFunctionFn **, Mat *, Mat *, SNESJacobianFn **, void **);
576: PETSC_EXTERN SNESFunctionFn SNESPicardComputeFunction;
577: PETSC_EXTERN SNESFunctionFn SNESPicardComputeMFFunction;
578: PETSC_EXTERN SNESJacobianFn SNESPicardComputeJacobian;
580: PETSC_EXTERN PetscErrorCode SNESSetObjective(SNES, SNESObjectiveFn *, void *);
581: PETSC_EXTERN PetscErrorCode SNESGetObjective(SNES, SNESObjectiveFn **, void **);
582: PETSC_EXTERN PetscErrorCode SNESComputeObjective(SNES, Vec, PetscReal *);
584: PETSC_EXTERN PetscErrorCode SNESSetUpdate(SNES, SNESUpdateFn *);
586: /*E
587: SNESNormSchedule - Frequency with which the norm is computed during a nonliner solve
589: Values:
590: + `SNES_NORM_DEFAULT` - use the default behavior for the current `SNESType`
591: . `SNES_NORM_NONE` - avoid all norm computations
592: . `SNES_NORM_ALWAYS` - compute the norms whenever possible
593: . `SNES_NORM_INITIAL_ONLY` - compute the norm only when the algorithm starts
594: . `SNES_NORM_FINAL_ONLY` - compute the norm only when the algorithm finishes
595: - `SNES_NORM_INITIAL_FINAL_ONLY` - compute the norm at the start and end of the algorithm
597: Level: advanced
599: Notes:
600: Support for these is highly dependent on the solver.
602: Some options limit the convergence tests that can be used.
604: The `SNES_NORM_NONE` option is most commonly used when the nonlinear solver is being used as a smoother, for example for `SNESFAS`
606: This is primarily used to turn off extra norm and function computation
607: when the solvers are composed.
609: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPSetNormType()`,
610: `KSPSetConvergenceTest()`, `KSPSetPCSide()`
611: E*/
612: typedef enum {
613: SNES_NORM_DEFAULT = -1,
614: SNES_NORM_NONE = 0,
615: SNES_NORM_ALWAYS = 1,
616: SNES_NORM_INITIAL_ONLY = 2,
617: SNES_NORM_FINAL_ONLY = 3,
618: SNES_NORM_INITIAL_FINAL_ONLY = 4
619: } SNESNormSchedule;
620: PETSC_EXTERN const char *const *const SNESNormSchedules;
622: /*MC
623: SNES_NORM_NONE - Don't compute function and its L2 norm when possible
625: Level: advanced
627: Note:
628: This is most useful for stationary solvers with a fixed number of iterations used as smoothers.
630: .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_DEFAULT`
631: M*/
633: /*MC
634: SNES_NORM_ALWAYS - Compute the function and its L2 norm at each iteration.
636: Level: advanced
638: Note:
639: Most solvers will use this no matter what norm type is passed to them.
641: .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_NONE`
642: M*/
644: /*MC
645: SNES_NORM_INITIAL_ONLY - Compute the function and its L2 at iteration 0, but do not update it.
647: Level: advanced
649: Notes:
650: This method is useful in composed methods, when a true solution might actually be found before `SNESSolve()` is called.
651: This option enables the solve to abort on the zeroth iteration if this is the case.
653: For solvers that require the computation of the L2 norm of the function as part of the method, this merely cancels
654: the norm computation at the last iteration (if possible).
656: .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_FINAL_ONLY`, `SNES_NORM_INITIAL_FINAL_ONLY`
657: M*/
659: /*MC
660: SNES_NORM_FINAL_ONLY - Compute the function and its L2 norm on only the final iteration.
662: Level: advanced
664: Note:
665: For solvers that require the computation of the L2 norm of the function as part of the method, behaves
666: exactly as `SNES_NORM_DEFAULT`. This method is useful when the function is gotten after `SNESSolve()` and
667: used in subsequent computation for methods that do not need the norm computed during the rest of the
668: solution procedure.
670: .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_INITIAL_ONLY`, `SNES_NORM_INITIAL_FINAL_ONLY`
671: M*/
673: /*MC
674: SNES_NORM_INITIAL_FINAL_ONLY - Compute the function and its L2 norm on only the initial and final iterations.
676: Level: advanced
678: Note:
679: This method combines the benefits of `SNES_NORM_INITIAL_ONLY` and `SNES_NORM_FINAL_ONLY`.
681: .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_SNES_NORM_INITIAL_ONLY`, `SNES_NORM_FINAL_ONLY`
682: M*/
684: PETSC_EXTERN PetscErrorCode SNESSetNormSchedule(SNES, SNESNormSchedule);
685: PETSC_EXTERN PetscErrorCode SNESGetNormSchedule(SNES, SNESNormSchedule *);
686: PETSC_EXTERN PetscErrorCode SNESSetFunctionNorm(SNES, PetscReal);
687: PETSC_EXTERN PetscErrorCode SNESGetFunctionNorm(SNES, PetscReal *);
688: PETSC_EXTERN PetscErrorCode SNESGetUpdateNorm(SNES, PetscReal *);
689: PETSC_EXTERN PetscErrorCode SNESGetSolutionNorm(SNES, PetscReal *);
691: /*E
692: SNESFunctionType - Type of function computed
694: Values:
695: + `SNES_FUNCTION_DEFAULT` - the default behavior for the current `SNESType`
696: . `SNES_FUNCTION_UNPRECONDITIONED` - the original function provided
697: - `SNES_FUNCTION_PRECONDITIONED` - the modification of the function by the preconditioner
699: Level: advanced
701: Note:
702: Support for these is dependent on the solver.
704: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPSetNormType()`,
705: `KSPSetConvergenceTest()`, `KSPSetPCSide()`
706: E*/
707: typedef enum {
708: SNES_FUNCTION_DEFAULT = -1,
709: SNES_FUNCTION_UNPRECONDITIONED = 0,
710: SNES_FUNCTION_PRECONDITIONED = 1
711: } SNESFunctionType;
712: PETSC_EXTERN const char *const *const SNESFunctionTypes;
714: PETSC_EXTERN PetscErrorCode SNESSetFunctionType(SNES, SNESFunctionType);
715: PETSC_EXTERN PetscErrorCode SNESGetFunctionType(SNES, SNESFunctionType *);
717: PETSC_EXTERN PetscErrorCode SNESSetNGS(SNES, SNESNGSFn *, void *);
718: PETSC_EXTERN PetscErrorCode SNESGetNGS(SNES, SNESNGSFn **, void **);
719: PETSC_EXTERN PetscErrorCode SNESComputeNGS(SNES, Vec, Vec);
721: PETSC_EXTERN PetscErrorCode SNESNGSSetSweeps(SNES, PetscInt);
722: PETSC_EXTERN PetscErrorCode SNESNGSGetSweeps(SNES, PetscInt *);
723: PETSC_EXTERN PetscErrorCode SNESNGSSetTolerances(SNES, PetscReal, PetscReal, PetscReal, PetscInt);
724: PETSC_EXTERN PetscErrorCode SNESNGSGetTolerances(SNES, PetscReal *, PetscReal *, PetscReal *, PetscInt *);
726: PETSC_EXTERN PetscErrorCode SNESSetAlwaysComputesFinalResidual(SNES, PetscBool);
727: PETSC_EXTERN PetscErrorCode SNESGetAlwaysComputesFinalResidual(SNES, PetscBool *);
729: PETSC_EXTERN PetscErrorCode SNESShellGetContext(SNES, void *);
730: PETSC_EXTERN PetscErrorCode SNESShellSetContext(SNES, void *);
731: PETSC_EXTERN PetscErrorCode SNESShellSetSolve(SNES, PetscErrorCode (*)(SNES, Vec));
733: /* --------- Routines specifically for line search methods --------------- */
735: /*S
736: SNESLineSearch - Abstract PETSc object that manages line-search operations for nonlinear solvers
738: Level: beginner
740: .seealso: [](ch_snes), `SNESLineSearchType`, `SNESLineSearchCreate()`, `SNESLineSearchSetType()`, `SNES`
741: S*/
742: typedef struct _p_LineSearch *SNESLineSearch;
744: /*J
745: SNESLineSearchType - String with the name of a PETSc line search method `SNESLineSearch`. Provides all the linesearches for the nonlinear solvers, `SNES`,
746: in PETSc.
748: Values:
749: + `SNESLINESEARCHBASIC` - (or equivalently `SNESLINESEARCHNONE`) Simple damping line search, defaults to using the full Newton step
750: . `SNESLINESEARCHBT` - Backtracking line search over the L2 norm of the function or an objective function
751: . `SNESLINESEARCHSECANT` - Secant line search over the L2 norm of the function or an objective function
752: . `SNESLINESEARCHCP` - Critical point secant line search assuming $F(x) = \nabla G(x)$ for some unknown $G(x)$
753: . `SNESLINESEARCHNLEQERR` - Affine-covariant error-oriented linesearch
754: - `SNESLINESEARCHBISECTION` - bisection line search for a root in the directional derivative
755: - `SNESLINESEARCHSHELL` - User provided `SNESLineSearch` implementation
757: Level: beginner
759: Note:
760: Use `SNESLineSearchSetType()` or the options database key `-snes_linesearch_type` to set
761: the specific line search algorithm to use with a given `SNES` object. Not all `SNESType` can utilize a line search.
763: .seealso: [](ch_snes), `SNESLineSearch`, `SNESLineSearchSetType()`, `SNES`
764: J*/
765: typedef const char *SNESLineSearchType;
766: #define SNESLINESEARCHBT "bt"
767: #define SNESLINESEARCHNLEQERR "nleqerr"
768: #define SNESLINESEARCHBASIC "basic"
769: #define SNESLINESEARCHNONE "none"
770: #define SNESLINESEARCHSECANT "secant"
771: #define SNESLINESEARCHL2 PETSC_DEPRECATED_MACRO(3, 24, 0, "SNESLINESEARCHSECANT", ) "secant"
772: #define SNESLINESEARCHCP "cp"
773: #define SNESLINESEARCHSHELL "shell"
774: #define SNESLINESEARCHNCGLINEAR "ncglinear"
775: #define SNESLINESEARCHBISECTION "bisection"
777: PETSC_EXTERN PetscFunctionList SNESList;
778: PETSC_EXTERN PetscClassId SNESLINESEARCH_CLASSID;
779: PETSC_EXTERN PetscFunctionList SNESLineSearchList;
781: #define SNES_LINESEARCH_ORDER_LINEAR 1
782: #define SNES_LINESEARCH_ORDER_QUADRATIC 2
783: #define SNES_LINESEARCH_ORDER_CUBIC 3
785: /*S
786: SNESLineSearchVIProjectFn - A prototype of a `SNES` function that projects a vector onto the VI bounds, passed to `SNESLineSearchSetVIFunctions()`
788: Calling Sequence:
789: + snes - `SNES` context
790: - u - the vector to project to the bounds
792: Level: advanced
794: Note:
795: The deprecated `SNESLineSearchVIProjectFunc` still works as a replacement for `SNESLineSearchVIProjectFn` *.
797: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`
798: S*/
799: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESLineSearchVIProjectFn(SNES snes, Vec u);
800: PETSC_EXTERN_TYPEDEF typedef SNESLineSearchVIProjectFn *SNESLineSearchVIProjectFunc PETSC_DEPRECATED_TYPEDEF(3, 21, 0, "SNESLineSearchVIProjectFn*", );
802: /*S
803: SNESLineSearchVIProjectFn - A prototype of a `SNES` function that computes the norm of the active set variables in a vector in a VI solve,
804: passed to `SNESLineSearchSetVIFunctions()`
806: Calling Sequence:
807: + snes - `SNES` context
808: . f - the vector to compute the norm of
809: . u - the current solution, entries that are on the VI bounds are ignored
810: - fnorm - the resulting norm
812: Level: advanced
814: Note:
815: The deprecated `SNESLineSearchVINormFunc` still works as a replacement for `SNESLineSearchVINormFn` *.
817: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`
818: S*/
819: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESLineSearchVINormFn(SNES snes, Vec f, Vec u, PetscReal *fnorm);
820: PETSC_EXTERN_TYPEDEF typedef SNESLineSearchVINormFn *SNESLineSearchVINormFunc PETSC_DEPRECATED_TYPEDEF(3, 21, 0, "SNESLineSearchVINormFnn*", );
822: /*S
823: SNESLineSearchVIDirDerivFn - A prototype of a `SNES` function that computes the directional derivative considering the VI bounds, passed to `SNESLineSearchSetVIFunctions()`
825: Calling Sequence:
826: + snes - `SNES` context
827: . f - the function vector to compute the directional derivative with
828: . u - the current solution, entries that are on the VI bounds are ignored
829: . y - the direction to compute the directional derivative
830: - fty - the resulting directional derivative
832: Level: advanced
834: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESLineSearchVIProjectFn`, `SNESLineSearchVIProjectFn`, `SNESLineSearchSetVIFunctions()`, `SNESLineSearchGetVIFunctions()`
835: S*/
836: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESLineSearchVIDirDerivFn(SNES snes, Vec f, Vec u, Vec y, PetscScalar *fty);
838: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESLineSearchApplyFn(SNESLineSearch);
839: PETSC_EXTERN_TYPEDEF typedef SNESLineSearchApplyFn *SNESLineSearchApplyFunc PETSC_DEPRECATED_TYPEDEF(3, 21, 0, "SNESLineSearchApplyFn*", );
840: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESLineSearchShellApplyFn(SNESLineSearch, void *);
841: PETSC_EXTERN_TYPEDEF typedef SNESLineSearchShellApplyFn *SNESLineSearchUserFunc PETSC_DEPRECATED_TYPEDEF(3, 21, 0, "SNESLineSearchApplyFn*", );
843: PETSC_EXTERN PetscErrorCode SNESLineSearchCreate(MPI_Comm, SNESLineSearch *);
844: PETSC_EXTERN PetscErrorCode SNESLineSearchReset(SNESLineSearch);
845: PETSC_EXTERN PetscErrorCode SNESLineSearchView(SNESLineSearch, PetscViewer);
846: PETSC_EXTERN PetscErrorCode SNESLineSearchDestroy(SNESLineSearch *);
847: PETSC_EXTERN PetscErrorCode SNESLineSearchGetType(SNESLineSearch, SNESLineSearchType *);
848: PETSC_EXTERN PetscErrorCode SNESLineSearchSetType(SNESLineSearch, SNESLineSearchType);
849: PETSC_EXTERN PetscErrorCode SNESLineSearchSetFromOptions(SNESLineSearch);
850: PETSC_EXTERN PetscErrorCode SNESLineSearchSetFunction(SNESLineSearch, PetscErrorCode (*)(SNES, Vec, Vec));
851: PETSC_EXTERN PetscErrorCode SNESLineSearchSetUp(SNESLineSearch);
852: PETSC_EXTERN PetscErrorCode SNESLineSearchApply(SNESLineSearch, Vec, Vec, PetscReal *, Vec);
853: PETSC_EXTERN PetscErrorCode SNESLineSearchPreCheck(SNESLineSearch, Vec, Vec, PetscBool *);
854: PETSC_EXTERN PetscErrorCode SNESLineSearchPostCheck(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *);
855: PETSC_EXTERN PetscErrorCode SNESLineSearchSetWorkVecs(SNESLineSearch, PetscInt);
857: /* set the functions for precheck and postcheck */
859: PETSC_EXTERN PetscErrorCode SNESLineSearchSetPreCheck(SNESLineSearch, PetscErrorCode (*)(SNESLineSearch, Vec, Vec, PetscBool *, void *), void *ctx);
860: PETSC_EXTERN PetscErrorCode SNESLineSearchSetPostCheck(SNESLineSearch, PetscErrorCode (*)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void *ctx);
862: PETSC_EXTERN PetscErrorCode SNESLineSearchGetPreCheck(SNESLineSearch, PetscErrorCode (**)(SNESLineSearch, Vec, Vec, PetscBool *, void *), void **ctx);
863: PETSC_EXTERN PetscErrorCode SNESLineSearchGetPostCheck(SNESLineSearch, PetscErrorCode (**)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void **ctx);
865: /* set the functions for VI-specific line search operations */
867: PETSC_EXTERN PetscErrorCode SNESLineSearchSetVIFunctions(SNESLineSearch, SNESLineSearchVIProjectFn *, SNESLineSearchVINormFn *, SNESLineSearchVIDirDerivFn *);
868: PETSC_EXTERN PetscErrorCode SNESLineSearchGetVIFunctions(SNESLineSearch, SNESLineSearchVIProjectFn **, SNESLineSearchVINormFn **, SNESLineSearchVIDirDerivFn **);
870: /* pointers to the associated SNES in order to be able to get the function evaluation out */
871: PETSC_EXTERN PetscErrorCode SNESLineSearchSetSNES(SNESLineSearch, SNES);
872: PETSC_EXTERN PetscErrorCode SNESLineSearchGetSNES(SNESLineSearch, SNES *);
874: /* set and get the parameters and vectors */
875: PETSC_EXTERN PetscErrorCode SNESLineSearchGetTolerances(SNESLineSearch, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscInt *);
876: PETSC_EXTERN PetscErrorCode SNESLineSearchSetTolerances(SNESLineSearch, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal, PetscInt);
878: PETSC_EXTERN PetscErrorCode SNESLineSearchPreCheckPicard(SNESLineSearch, Vec, Vec, PetscBool *, void *);
880: PETSC_EXTERN PetscErrorCode SNESLineSearchGetLambda(SNESLineSearch, PetscReal *);
881: PETSC_EXTERN PetscErrorCode SNESLineSearchSetLambda(SNESLineSearch, PetscReal);
883: PETSC_EXTERN PetscErrorCode SNESLineSearchGetDamping(SNESLineSearch, PetscReal *);
884: PETSC_EXTERN PetscErrorCode SNESLineSearchSetDamping(SNESLineSearch, PetscReal);
886: PETSC_EXTERN PetscErrorCode SNESLineSearchGetOrder(SNESLineSearch, PetscInt *);
887: PETSC_EXTERN PetscErrorCode SNESLineSearchSetOrder(SNESLineSearch, PetscInt);
889: /*E
890: SNESLineSearchReason - indication if the line search has succeeded or failed and why
892: Values:
893: + `SNES_LINESEARCH_SUCCEEDED` - the line search succeeded
894: . `SNES_LINESEARCH_FAILED_NANORINF` - a not a number of infinity appeared in the computions
895: . `SNES_LINESEARCH_FAILED_FUNCTION_DOMAIN` - the function was evaluated outside of its domain, see `SNESSetFunctionDomainError()`
896: . `SNES_LINESEARCH_FAILED_OBJECTIVE_DOMAIN`- the objective function was evaluated outside of its domain, see `SNESSetObjectiveDomainError()`
897: . `SNES_LINESEARCH_FAILED_JACOBIAN_DOMAIN` - the Jacobian was evaluated outside of its domain, see `SNESSetJacobianDomainError()`
898: . `SNES_LINESEARCH_FAILED_REDUCT` - the linear search failed to get the requested decrease in its norm or objective
899: . `SNES_LINESEARCH_FAILED_USER` - used by `SNESLINESEARCHNLEQERR` to indicate the user changed the search direction inappropriately
900: - `SNES_LINESEARCH_FAILED_FUNCTION` - indicates the maximum number of function evaluations allowed has been surpassed, `SNESConvergedReason` is also
901: set to `SNES_DIVERGED_FUNCTION_COUNT`
903: Level: intermediate
905: Developer Note:
906: Some of these reasons overlap with values of `SNESConvergedReason`. It is possibly a better design to have `SNESConvergedReaon` alone used also for indicating line
907: search failures.
909: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPConvergedReason`, `SNESSetConvergenceTest()`,
910: `SNESSetFunctionDomainError()` and `SNESSetJacobianDomainError()`
911: E*/
912: typedef enum {
913: SNES_LINESEARCH_SUCCEEDED,
914: SNES_LINESEARCH_FAILED_NANORINF,
915: SNES_LINESEARCH_FAILED_FUNCTION_DOMAIN,
916: SNES_LINESEARCH_FAILED_OBJECTIVE_DOMAIN,
917: SNES_LINESEARCH_FAILED_JACOBIAN_DOMAIN,
918: SNES_LINESEARCH_FAILED_REDUCT, /* INSUFFICIENT REDUCTION */
919: SNES_LINESEARCH_FAILED_USER,
920: SNES_LINESEARCH_FAILED_FUNCTION
921: } SNESLineSearchReason;
923: PETSC_EXTERN PetscErrorCode SNESLineSearchGetReason(SNESLineSearch, SNESLineSearchReason *);
924: PETSC_EXTERN PetscErrorCode SNESLineSearchSetReason(SNESLineSearch, SNESLineSearchReason);
926: PETSC_EXTERN PetscErrorCode SNESLineSearchGetVecs(SNESLineSearch, Vec *, Vec *, Vec *, Vec *, Vec *);
927: PETSC_EXTERN PetscErrorCode SNESLineSearchSetVecs(SNESLineSearch, Vec, Vec, Vec, Vec, Vec);
929: PETSC_EXTERN PetscErrorCode SNESLineSearchGetNorms(SNESLineSearch, PetscReal *, PetscReal *, PetscReal *);
930: PETSC_EXTERN PetscErrorCode SNESLineSearchSetNorms(SNESLineSearch, PetscReal, PetscReal, PetscReal);
931: PETSC_EXTERN PetscErrorCode SNESLineSearchComputeNorms(SNESLineSearch);
932: PETSC_EXTERN PetscErrorCode SNESLineSearchSetComputeNorms(SNESLineSearch, PetscBool);
934: PETSC_EXTERN PetscErrorCode SNESLineSearchMonitor(SNESLineSearch);
935: PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorSet(SNESLineSearch, PetscErrorCode (*)(SNESLineSearch, void *), void *, PetscCtxDestroyFn *);
936: PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorSetFromOptions(SNESLineSearch, const char[], const char[], const char[], PetscErrorCode (*)(SNESLineSearch, PetscViewerAndFormat *), PetscErrorCode (*)(SNESLineSearch, PetscViewerAndFormat *));
937: PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorCancel(SNESLineSearch);
938: PETSC_EXTERN PetscErrorCode SNESLineSearchSetDefaultMonitor(SNESLineSearch, PetscViewer);
939: PETSC_EXTERN PetscErrorCode SNESLineSearchGetDefaultMonitor(SNESLineSearch, PetscViewer *);
940: PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorSolutionUpdate(SNESLineSearch, PetscViewerAndFormat *);
942: PETSC_EXTERN PetscErrorCode SNESLineSearchAppendOptionsPrefix(SNESLineSearch, const char[]);
943: PETSC_EXTERN PetscErrorCode SNESLineSearchGetOptionsPrefix(SNESLineSearch, const char *[]);
945: /* Shell interface functions */
946: PETSC_EXTERN PetscErrorCode SNESLineSearchShellSetApply(SNESLineSearch, SNESLineSearchShellApplyFn *, void *);
947: PETSC_EXTERN PetscErrorCode SNESLineSearchShellGetApply(SNESLineSearch, SNESLineSearchShellApplyFn **, void **);
949: PETSC_DEPRECATED_FUNCTION(3, 21, 0, "SNESLinesearchShellSetApply()", ) static inline PetscErrorCode SNESLineSearchShellSetUserFunc(SNESLineSearch ls, SNESLineSearchShellApplyFn *f, void *ctx)
950: {
951: return SNESLineSearchShellSetApply(ls, f, ctx);
952: }
954: PETSC_DEPRECATED_FUNCTION(3, 21, 0, "SNESLinesearchShellGetApply()", ) static inline PetscErrorCode SNESLineSearchShellGetUserFunc(SNESLineSearch ls, SNESLineSearchShellApplyFn **f, void **ctx)
955: {
956: return SNESLineSearchShellGetApply(ls, f, ctx);
957: }
959: /* BT interface functions */
960: PETSC_EXTERN PetscErrorCode SNESLineSearchBTSetAlpha(SNESLineSearch, PetscReal);
961: PETSC_EXTERN PetscErrorCode SNESLineSearchBTGetAlpha(SNESLineSearch, PetscReal *);
963: /*register line search types */
964: PETSC_EXTERN PetscErrorCode SNESLineSearchRegister(const char[], PetscErrorCode (*)(SNESLineSearch));
966: /* Routines for VI solver */
967: PETSC_EXTERN PetscErrorCode SNESVISetVariableBounds(SNES, Vec, Vec);
968: PETSC_EXTERN PetscErrorCode SNESVIGetVariableBounds(SNES, Vec *, Vec *);
969: PETSC_EXTERN PetscErrorCode SNESVISetComputeVariableBounds(SNES, PetscErrorCode (*)(SNES, Vec, Vec));
970: PETSC_EXTERN PetscErrorCode SNESVIGetInactiveSet(SNES, IS *);
971: PETSC_EXTERN PetscErrorCode SNESVIGetActiveSetIS(SNES, Vec, Vec, IS *);
972: PETSC_EXTERN PetscErrorCode SNESVIComputeInactiveSetFnorm(SNES, Vec, Vec, PetscReal *);
973: PETSC_EXTERN PetscErrorCode SNESVIComputeInactiveSetFtY(SNES, Vec, Vec, Vec, PetscScalar *);
974: PETSC_EXTERN PetscErrorCode SNESVISetRedundancyCheck(SNES, PetscErrorCode (*)(SNES, IS, IS *, void *), void *);
975: PETSC_EXTERN PetscErrorCode SNESVIComputeMeritFunction(Vec, PetscReal *, PetscReal *);
976: PETSC_EXTERN PetscErrorCode SNESVIComputeFunction(SNES, Vec, Vec, void *);
977: PETSC_EXTERN PetscErrorCode DMSetVI(DM, IS);
978: PETSC_EXTERN PetscErrorCode DMDestroyVI(DM);
980: PETSC_EXTERN PetscErrorCode SNESTestLocalMin(SNES);
982: /* Should this routine be private? */
983: PETSC_EXTERN PetscErrorCode SNESComputeJacobian(SNES, Vec, Mat, Mat);
984: PETSC_EXTERN PetscErrorCode SNESTestJacobian(SNES, PetscReal *, PetscReal *);
985: PETSC_EXTERN PetscErrorCode SNESTestFunction(SNES);
987: PETSC_EXTERN PetscErrorCode SNESSetDM(SNES, DM);
988: PETSC_EXTERN PetscErrorCode SNESGetDM(SNES, DM *);
989: PETSC_EXTERN PetscErrorCode SNESSetNPC(SNES, SNES);
990: PETSC_EXTERN PetscErrorCode SNESGetNPC(SNES, SNES *);
991: PETSC_EXTERN PetscErrorCode SNESHasNPC(SNES, PetscBool *);
992: PETSC_EXTERN PetscErrorCode SNESApplyNPC(SNES, Vec, Vec, Vec);
993: PETSC_EXTERN PetscErrorCode SNESGetNPCFunction(SNES, Vec, PetscReal *);
994: PETSC_EXTERN PetscErrorCode SNESComputeFunctionDefaultNPC(SNES, Vec, Vec);
995: PETSC_EXTERN PetscErrorCode SNESSetNPCSide(SNES, PCSide);
996: PETSC_EXTERN PetscErrorCode SNESGetNPCSide(SNES, PCSide *);
997: PETSC_EXTERN PetscErrorCode SNESSetLineSearch(SNES, SNESLineSearch);
998: PETSC_EXTERN PetscErrorCode SNESGetLineSearch(SNES, SNESLineSearch *);
1000: PETSC_DEPRECATED_FUNCTION(3, 4, 0, "SNESGetLineSearch()", ) static inline PetscErrorCode SNESGetSNESLineSearch(SNES snes, SNESLineSearch *ls)
1001: {
1002: return SNESGetLineSearch(snes, ls);
1003: }
1004: PETSC_DEPRECATED_FUNCTION(3, 4, 0, "SNESSetLineSearch()", ) static inline PetscErrorCode SNESSetSNESLineSearch(SNES snes, SNESLineSearch ls)
1005: {
1006: return SNESSetLineSearch(snes, ls);
1007: }
1009: PETSC_EXTERN PetscErrorCode SNESSetUpMatrices(SNES);
1010: PETSC_EXTERN PetscErrorCode DMSNESSetFunction(DM, SNESFunctionFn *, void *);
1011: PETSC_EXTERN PetscErrorCode DMSNESGetFunction(DM, SNESFunctionFn **, void **);
1012: PETSC_EXTERN PetscErrorCode DMSNESSetFunctionContextDestroy(DM, PetscCtxDestroyFn *);
1013: PETSC_EXTERN PetscErrorCode DMSNESSetMFFunction(DM, SNESFunctionFn *, void *);
1014: PETSC_EXTERN PetscErrorCode DMSNESSetNGS(DM, SNESNGSFn *, void *);
1015: PETSC_EXTERN PetscErrorCode DMSNESGetNGS(DM, SNESNGSFn **, void **);
1016: PETSC_EXTERN PetscErrorCode DMSNESSetJacobian(DM, SNESJacobianFn *, void *);
1017: PETSC_EXTERN PetscErrorCode DMSNESGetJacobian(DM, SNESJacobianFn **, void **);
1018: PETSC_EXTERN PetscErrorCode DMSNESSetJacobianContextDestroy(DM, PetscCtxDestroyFn *);
1019: PETSC_EXTERN PetscErrorCode DMSNESSetPicard(DM, SNESFunctionFn *, SNESJacobianFn *, void *);
1020: PETSC_EXTERN PetscErrorCode DMSNESGetPicard(DM, SNESFunctionFn **, SNESJacobianFn **, void **);
1021: PETSC_EXTERN PetscErrorCode DMSNESSetObjective(DM, SNESObjectiveFn *, void *);
1022: PETSC_EXTERN PetscErrorCode DMSNESGetObjective(DM, SNESObjectiveFn **, void **);
1023: PETSC_EXTERN PetscErrorCode DMCopyDMSNES(DM, DM);
1025: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESFunctionFn(DMDALocalInfo *, void *, void *, void *);
1026: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESJacobianFn(DMDALocalInfo *, void *, Mat, Mat, void *);
1027: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESObjectiveFn(DMDALocalInfo *, void *, PetscReal *, void *);
1029: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESFunctionVecFn(DMDALocalInfo *, Vec, Vec, void *);
1030: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESJacobianVecFn(DMDALocalInfo *, Vec, Mat, Mat, void *);
1031: PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESObjectiveVecFn(DMDALocalInfo *, Vec, PetscReal *, void *);
1033: PETSC_EXTERN PetscErrorCode DMDASNESSetFunctionLocal(DM, InsertMode, DMDASNESFunctionFn *, void *);
1034: PETSC_EXTERN PetscErrorCode DMDASNESSetJacobianLocal(DM, DMDASNESJacobianFn *, void *);
1035: PETSC_EXTERN PetscErrorCode DMDASNESSetObjectiveLocal(DM, DMDASNESObjectiveFn *, void *);
1036: PETSC_EXTERN PetscErrorCode DMDASNESSetPicardLocal(DM, InsertMode, DMDASNESFunctionFn *, DMDASNESJacobianFn, void *);
1038: PETSC_EXTERN PetscErrorCode DMDASNESSetFunctionLocalVec(DM, InsertMode, DMDASNESFunctionVecFn *, void *);
1039: PETSC_EXTERN PetscErrorCode DMDASNESSetJacobianLocalVec(DM, DMDASNESJacobianVecFn *, void *);
1040: PETSC_EXTERN PetscErrorCode DMDASNESSetObjectiveLocalVec(DM, DMDASNESObjectiveVecFn *, void *);
1042: PETSC_EXTERN PetscErrorCode DMSNESSetBoundaryLocal(DM, PetscErrorCode (*)(DM, Vec, void *), void *);
1043: PETSC_EXTERN PetscErrorCode DMSNESSetObjectiveLocal(DM, PetscErrorCode (*)(DM, Vec, PetscReal *, void *), void *);
1044: PETSC_EXTERN PetscErrorCode DMSNESSetFunctionLocal(DM, PetscErrorCode (*)(DM, Vec, Vec, void *), void *);
1045: PETSC_EXTERN PetscErrorCode DMSNESSetJacobianLocal(DM, PetscErrorCode (*)(DM, Vec, Mat, Mat, void *), void *);
1046: PETSC_EXTERN PetscErrorCode DMSNESGetBoundaryLocal(DM, PetscErrorCode (**)(DM, Vec, void *), void **);
1047: PETSC_EXTERN PetscErrorCode DMSNESGetObjectiveLocal(DM, PetscErrorCode (**)(DM, Vec, PetscReal *, void *), void **);
1048: PETSC_EXTERN PetscErrorCode DMSNESGetFunctionLocal(DM, PetscErrorCode (**)(DM, Vec, Vec, void *), void **);
1049: PETSC_EXTERN PetscErrorCode DMSNESGetJacobianLocal(DM, PetscErrorCode (**)(DM, Vec, Mat, Mat, void *), void **);
1051: /* Routines for Multiblock solver */
1052: PETSC_EXTERN PetscErrorCode SNESMultiblockSetFields(SNES, const char[], PetscInt, const PetscInt *);
1053: PETSC_EXTERN PetscErrorCode SNESMultiblockSetIS(SNES, const char[], IS);
1054: PETSC_EXTERN PetscErrorCode SNESMultiblockSetBlockSize(SNES, PetscInt);
1055: PETSC_EXTERN PetscErrorCode SNESMultiblockSetType(SNES, PCCompositeType);
1056: PETSC_EXTERN PetscErrorCode SNESMultiblockGetSubSNES(SNES, PetscInt *, SNES *[]);
1058: /*J
1059: SNESMSType - String with the name of a PETSc `SNESMS` method.
1061: Level: intermediate
1063: .seealso: [](ch_snes), `SNESMS`, `SNESMSGetType()`, `SNESMSSetType()`, `SNES`
1064: J*/
1065: typedef const char *SNESMSType;
1066: #define SNESMSM62 "m62"
1067: #define SNESMSEULER "euler"
1068: #define SNESMSJAMESON83 "jameson83"
1069: #define SNESMSVLTP11 "vltp11"
1070: #define SNESMSVLTP21 "vltp21"
1071: #define SNESMSVLTP31 "vltp31"
1072: #define SNESMSVLTP41 "vltp41"
1073: #define SNESMSVLTP51 "vltp51"
1074: #define SNESMSVLTP61 "vltp61"
1076: PETSC_EXTERN PetscErrorCode SNESMSRegister(SNESMSType, PetscInt, PetscInt, PetscReal, const PetscReal[], const PetscReal[], const PetscReal[]);
1077: PETSC_EXTERN PetscErrorCode SNESMSRegisterAll(void);
1078: PETSC_EXTERN PetscErrorCode SNESMSGetType(SNES, SNESMSType *);
1079: PETSC_EXTERN PetscErrorCode SNESMSSetType(SNES, SNESMSType);
1080: PETSC_EXTERN PetscErrorCode SNESMSGetDamping(SNES, PetscReal *);
1081: PETSC_EXTERN PetscErrorCode SNESMSSetDamping(SNES, PetscReal);
1082: PETSC_EXTERN PetscErrorCode SNESMSFinalizePackage(void);
1083: PETSC_EXTERN PetscErrorCode SNESMSInitializePackage(void);
1084: PETSC_EXTERN PetscErrorCode SNESMSRegisterDestroy(void);
1086: /*MC
1087: SNESNGMRESRestartType - the restart approach used by `SNESNGMRES`
1089: Values:
1090: + `SNES_NGMRES_RESTART_NONE` - never restart
1091: . `SNES_NGMRES_RESTART_DIFFERENCE` - restart based upon difference criteria
1092: - `SNES_NGMRES_RESTART_PERIODIC` - restart after a fixed number of iterations
1094: Options Database Keys:
1095: + -snes_ngmres_restart_type <difference,periodic,none> - set the restart type
1096: - -snes_ngmres_restart <30> - sets the number of iterations before restart for periodic
1098: Level: intermediate
1100: .seealso: `SNES, `SNESNGMRES`, `SNESNGMRESSetSelectType()`, `SNESNGMRESGetSelectType()`, `SNESNGMRESSetRestartType()`,
1101: `SNESNGMRESGetRestartType()`, `SNESNGMRESSelectType`
1102: M*/
1103: typedef enum {
1104: SNES_NGMRES_RESTART_NONE = 0,
1105: SNES_NGMRES_RESTART_PERIODIC = 1,
1106: SNES_NGMRES_RESTART_DIFFERENCE = 2
1107: } SNESNGMRESRestartType;
1108: PETSC_EXTERN const char *const SNESNGMRESRestartTypes[];
1110: /*MC
1111: SNESNGMRESSelectType - the approach used by `SNESNGMRES` to determine how the candidate solution and
1112: combined solution are used to create the next iterate.
1114: Values:
1115: + `SNES_NGMRES_SELECT_NONE` - choose the combined solution all the time
1116: . `SNES_NGMRES_SELECT_DIFFERENCE` - choose based upon the selection criteria
1117: - `SNES_NGMRES_SELECT_LINESEARCH` - choose based upon line search combination
1119: Options Database Key:
1120: . -snes_ngmres_select_type<difference,none,linesearch> - select type
1122: Level: intermediate
1124: .seealso: `SNES, `SNESNGMRES`, `SNESNGMRESSetSelectType()`, `SNESNGMRESGetSelectType()`, `SNESNGMRESSetRestartType()`,
1125: `SNESNGMRESGetRestartType()`, `SNESNGMRESRestartType`
1126: M*/
1127: typedef enum {
1128: SNES_NGMRES_SELECT_NONE = 0,
1129: SNES_NGMRES_SELECT_DIFFERENCE = 1,
1130: SNES_NGMRES_SELECT_LINESEARCH = 2
1131: } SNESNGMRESSelectType;
1132: PETSC_EXTERN const char *const SNESNGMRESSelectTypes[];
1134: PETSC_EXTERN PetscErrorCode SNESNGMRESSetRestartType(SNES, SNESNGMRESRestartType);
1135: PETSC_EXTERN PetscErrorCode SNESNGMRESSetSelectType(SNES, SNESNGMRESSelectType);
1136: PETSC_EXTERN PetscErrorCode SNESNGMRESSetRestartFmRise(SNES, PetscBool);
1137: PETSC_EXTERN PetscErrorCode SNESNGMRESGetRestartFmRise(SNES, PetscBool *);
1139: /*MC
1140: SNESNCGType - the conjugate update approach for `SNESNCG`
1142: Values:
1143: + `SNES_NCG_FR` - Fletcher-Reeves update
1144: . `SNES_NCG_PRP` - Polak-Ribiere-Polyak update, the default and the only one that tolerates generalized search directions
1145: . `SNES_NCG_HS` - Hestenes-Steifel update
1146: . `SNES_NCG_DY` - Dai-Yuan update
1147: - `SNES_NCG_CD` - Conjugate Descent update
1149: Options Database Key:
1150: . -snes_ncg_type<fr,prp,hs,dy,cd> - select type
1152: Level: intermediate
1154: .seealso: `SNES, `SNESNCG`, `SNESNCGSetType()`
1155: M*/
1156: typedef enum {
1157: SNES_NCG_FR = 0,
1158: SNES_NCG_PRP = 1,
1159: SNES_NCG_HS = 2,
1160: SNES_NCG_DY = 3,
1161: SNES_NCG_CD = 4
1162: } SNESNCGType;
1163: PETSC_EXTERN const char *const SNESNCGTypes[];
1165: PETSC_EXTERN PetscErrorCode SNESNCGSetType(SNES, SNESNCGType);
1167: /*MC
1168: SNESQNScaleType - the scaling type used by `SNESQN`
1170: Values:
1171: + `SNES_QN_SCALE_NONE` - don't scale the problem
1172: . `SNES_QN_SCALE_SCALAR` - use Shanno scaling
1173: . `SNES_QN_SCALE_DIAGONAL` - scale with a diagonalized BFGS formula (see Gilbert and Lemarechal 1989), available
1174: - `SNES_QN_SCALE_JACOBIAN` - scale by solving a linear system coming from the Jacobian you provided with `SNESSetJacobian()`
1175: computed at the first iteration of `SNESQN` and at ever restart.
1177: Options Database Key:
1178: . -snes_qn_scale_type <diagonal,none,scalar,jacobian> - Scaling type
1180: Level: intermediate
1182: .seealso: `SNES, `SNESQN`, `SNESQNSetScaleType()`, `SNESQNType`, `SNESQNSetType()`, `SNESQNSetRestartType()`, `SNESQNRestartType`
1183: M*/
1184: typedef enum {
1185: SNES_QN_SCALE_DEFAULT = 0,
1186: SNES_QN_SCALE_NONE = 1,
1187: SNES_QN_SCALE_SCALAR = 2,
1188: SNES_QN_SCALE_DIAGONAL = 3,
1189: SNES_QN_SCALE_JACOBIAN = 4
1190: } SNESQNScaleType;
1191: PETSC_EXTERN const char *const SNESQNScaleTypes[];
1193: /*MC
1194: SNESQNRestartType - the restart approached used by `SNESQN`
1196: Values:
1197: + `SNES_QN_RESTART_NONE` - never restart
1198: . `SNES_QN_RESTART_POWELL` - restart based upon descent criteria
1199: - `SNES_QN_RESTART_PERIODIC` - restart after a fixed number of iterations
1201: Options Database Keys:
1202: + -snes_qn_restart_type <powell,periodic,none> - set the restart type
1203: - -snes_qn_m <m> - sets the number of stored updates and the restart period for periodic
1205: Level: intermediate
1207: .seealso: `SNES, `SNESQN`, `SNESQNSetScaleType()`, `SNESQNType`, `SNESQNSetType()`, `SNESQNSetRestartType()`, `SNESQNScaleType`
1208: M*/
1209: typedef enum {
1210: SNES_QN_RESTART_DEFAULT = 0,
1211: SNES_QN_RESTART_NONE = 1,
1212: SNES_QN_RESTART_POWELL = 2,
1213: SNES_QN_RESTART_PERIODIC = 3
1214: } SNESQNRestartType;
1215: PETSC_EXTERN const char *const SNESQNRestartTypes[];
1217: /*MC
1218: SNESQNType - the type used by `SNESQN`
1220: Values:
1221: + `SNES_QN_LBFGS` - LBFGS variant
1222: . `SNES_QN_BROYDEN` - Broyden variant
1223: - `SNES_QN_BADBROYDEN` - Bad Broyden variant
1225: Options Database Key:
1226: . -snes_qn_type <lbfgs,broyden,badbroyden> - quasi-Newton type
1228: Level: intermediate
1230: .seealso: `SNES, `SNESQN`, `SNESQNSetScaleType()`, `SNESQNSetType()`, `SNESQNScaleType`, `SNESQNRestartType`, `SNESQNSetRestartType()`
1231: M*/
1232: typedef enum {
1233: SNES_QN_LBFGS = 0,
1234: SNES_QN_BROYDEN = 1,
1235: SNES_QN_BADBROYDEN = 2
1236: } SNESQNType;
1237: PETSC_EXTERN const char *const SNESQNTypes[];
1239: PETSC_EXTERN PetscErrorCode SNESQNSetType(SNES, SNESQNType);
1240: PETSC_EXTERN PetscErrorCode SNESQNSetScaleType(SNES, SNESQNScaleType);
1241: PETSC_EXTERN PetscErrorCode SNESQNSetRestartType(SNES, SNESQNRestartType);
1243: PETSC_EXTERN PetscErrorCode SNESNASMGetType(SNES, PCASMType *);
1244: PETSC_EXTERN PetscErrorCode SNESNASMSetType(SNES, PCASMType);
1245: PETSC_EXTERN PetscErrorCode SNESNASMGetSubdomains(SNES, PetscInt *, SNES *[], VecScatter *[], VecScatter *[], VecScatter *[]);
1246: PETSC_EXTERN PetscErrorCode SNESNASMSetSubdomains(SNES, PetscInt, SNES[], VecScatter[], VecScatter[], VecScatter[]);
1247: PETSC_EXTERN PetscErrorCode SNESNASMSetDamping(SNES, PetscReal);
1248: PETSC_EXTERN PetscErrorCode SNESNASMGetDamping(SNES, PetscReal *);
1249: PETSC_EXTERN PetscErrorCode SNESNASMGetSubdomainVecs(SNES, PetscInt *, Vec *[], Vec *[], Vec *[], Vec *[]);
1250: PETSC_EXTERN PetscErrorCode SNESNASMSetComputeFinalJacobian(SNES, PetscBool);
1251: PETSC_EXTERN PetscErrorCode SNESNASMGetSNES(SNES, PetscInt, SNES *);
1252: PETSC_EXTERN PetscErrorCode SNESNASMGetNumber(SNES, PetscInt *);
1253: PETSC_EXTERN PetscErrorCode SNESNASMSetWeight(SNES, Vec);
1255: /*E
1256: SNESCompositeType - Determines how two or more preconditioners are composed with the `SNESType` of `SNESCOMPOSITE`
1258: Values:
1259: + `SNES_COMPOSITE_ADDITIVE` - results from application of all preconditioners are added together
1260: . `SNES_COMPOSITE_MULTIPLICATIVE` - preconditioners are applied sequentially to the residual freshly
1261: computed after the previous preconditioner application
1262: - `SNES_COMPOSITE_ADDITIVEOPTIMAL` - uses a linear combination of the solutions obtained with each preconditioner that approximately minimize the function
1263: value at the new iteration.
1265: Level: beginner
1267: .seealso: [](sec_pc), `PCCOMPOSITE`, `PCFIELDSPLIT`, `PC`, `PCCompositeSetType()`, `PCCompositeType`
1268: E*/
1269: typedef enum {
1270: SNES_COMPOSITE_ADDITIVE,
1271: SNES_COMPOSITE_MULTIPLICATIVE,
1272: SNES_COMPOSITE_ADDITIVEOPTIMAL
1273: } SNESCompositeType;
1274: PETSC_EXTERN const char *const SNESCompositeTypes[];
1276: PETSC_EXTERN PetscErrorCode SNESCompositeSetType(SNES, SNESCompositeType);
1277: PETSC_EXTERN PetscErrorCode SNESCompositeAddSNES(SNES, SNESType);
1278: PETSC_EXTERN PetscErrorCode SNESCompositeGetSNES(SNES, PetscInt, SNES *);
1279: PETSC_EXTERN PetscErrorCode SNESCompositeGetNumber(SNES, PetscInt *);
1280: PETSC_EXTERN PetscErrorCode SNESCompositeSetDamping(SNES, PetscInt, PetscReal);
1282: PETSC_EXTERN PetscErrorCode SNESPatchSetDiscretisationInfo(SNES, PetscInt, DM *, PetscInt *, PetscInt *, const PetscInt **, const PetscInt *, PetscInt, const PetscInt *, PetscInt, const PetscInt *);
1283: PETSC_EXTERN PetscErrorCode SNESPatchSetComputeOperator(SNES, PetscErrorCode (*func)(PC, PetscInt, Vec, Mat, IS, PetscInt, const PetscInt *, const PetscInt *, void *), void *);
1284: PETSC_EXTERN PetscErrorCode SNESPatchSetComputeFunction(SNES, PetscErrorCode (*func)(PC, PetscInt, Vec, Vec, IS, PetscInt, const PetscInt *, const PetscInt *, void *), void *);
1285: PETSC_EXTERN PetscErrorCode SNESPatchSetConstructType(SNES, PCPatchConstructType, PetscErrorCode (*func)(PC, PetscInt *, IS **, IS *, void *), void *);
1286: PETSC_EXTERN PetscErrorCode SNESPatchSetCellNumbering(SNES, PetscSection);
1288: /*E
1289: SNESFASType - Determines the type of nonlinear multigrid method that is run.
1291: Values:
1292: + `SNES_FAS_MULTIPLICATIVE` (default) - traditional V or W cycle as determined by `SNESFASSetCycles()`
1293: . `SNES_FAS_ADDITIVE` - additive FAS cycle
1294: . `SNES_FAS_FULL` - full FAS cycle
1295: - `SNES_FAS_KASKADE` - Kaskade FAS cycle
1297: Level: beginner
1299: .seealso: [](ch_snes), `SNESFAS`, `PCMGSetType()`, `PCMGType`
1300: E*/
1301: typedef enum {
1302: SNES_FAS_MULTIPLICATIVE,
1303: SNES_FAS_ADDITIVE,
1304: SNES_FAS_FULL,
1305: SNES_FAS_KASKADE
1306: } SNESFASType;
1307: PETSC_EXTERN const char *const SNESFASTypes[];
1309: /* called on the finest level FAS instance*/
1310: PETSC_EXTERN PetscErrorCode SNESFASSetType(SNES, SNESFASType);
1311: PETSC_EXTERN PetscErrorCode SNESFASGetType(SNES, SNESFASType *);
1312: PETSC_EXTERN PetscErrorCode SNESFASSetLevels(SNES, PetscInt, MPI_Comm *);
1313: PETSC_EXTERN PetscErrorCode SNESFASGetLevels(SNES, PetscInt *);
1314: PETSC_EXTERN PetscErrorCode SNESFASGetCycleSNES(SNES, PetscInt, SNES *);
1315: PETSC_EXTERN PetscErrorCode SNESFASSetNumberSmoothUp(SNES, PetscInt);
1316: PETSC_EXTERN PetscErrorCode SNESFASSetNumberSmoothDown(SNES, PetscInt);
1317: PETSC_EXTERN PetscErrorCode SNESFASSetCycles(SNES, PetscInt);
1318: PETSC_EXTERN PetscErrorCode SNESFASSetMonitor(SNES, PetscViewerAndFormat *, PetscBool);
1319: PETSC_EXTERN PetscErrorCode SNESFASSetLog(SNES, PetscBool);
1321: PETSC_EXTERN PetscErrorCode SNESFASSetGalerkin(SNES, PetscBool);
1322: PETSC_EXTERN PetscErrorCode SNESFASGetGalerkin(SNES, PetscBool *);
1323: PETSC_EXTERN PetscErrorCode SNESFASGalerkinFunctionDefault(SNES, Vec, Vec, void *);
1325: /* called on any level -- "Cycle" FAS instance */
1326: PETSC_EXTERN PetscErrorCode SNESFASCycleGetSmoother(SNES, SNES *);
1327: PETSC_EXTERN PetscErrorCode SNESFASCycleGetSmootherUp(SNES, SNES *);
1328: PETSC_EXTERN PetscErrorCode SNESFASCycleGetSmootherDown(SNES, SNES *);
1329: PETSC_EXTERN PetscErrorCode SNESFASCycleGetCorrection(SNES, SNES *);
1330: PETSC_EXTERN PetscErrorCode SNESFASCycleGetInterpolation(SNES, Mat *);
1331: PETSC_EXTERN PetscErrorCode SNESFASCycleGetRestriction(SNES, Mat *);
1332: PETSC_EXTERN PetscErrorCode SNESFASCycleGetInjection(SNES, Mat *);
1333: PETSC_EXTERN PetscErrorCode SNESFASCycleGetRScale(SNES, Vec *);
1334: PETSC_EXTERN PetscErrorCode SNESFASCycleSetCycles(SNES, PetscInt);
1335: PETSC_EXTERN PetscErrorCode SNESFASCycleIsFine(SNES, PetscBool *);
1337: /* called on the (outer) finest level FAS to set/get parameters on any level instance */
1338: PETSC_EXTERN PetscErrorCode SNESFASSetInterpolation(SNES, PetscInt, Mat);
1339: PETSC_EXTERN PetscErrorCode SNESFASGetInterpolation(SNES, PetscInt, Mat *);
1340: PETSC_EXTERN PetscErrorCode SNESFASSetRestriction(SNES, PetscInt, Mat);
1341: PETSC_EXTERN PetscErrorCode SNESFASGetRestriction(SNES, PetscInt, Mat *);
1342: PETSC_EXTERN PetscErrorCode SNESFASSetInjection(SNES, PetscInt, Mat);
1343: PETSC_EXTERN PetscErrorCode SNESFASGetInjection(SNES, PetscInt, Mat *);
1344: PETSC_EXTERN PetscErrorCode SNESFASSetRScale(SNES, PetscInt, Vec);
1345: PETSC_EXTERN PetscErrorCode SNESFASGetRScale(SNES, PetscInt, Vec *);
1346: PETSC_EXTERN PetscErrorCode SNESFASSetContinuation(SNES, PetscBool);
1348: PETSC_EXTERN PetscErrorCode SNESFASGetSmoother(SNES, PetscInt, SNES *);
1349: PETSC_EXTERN PetscErrorCode SNESFASGetSmootherUp(SNES, PetscInt, SNES *);
1350: PETSC_EXTERN PetscErrorCode SNESFASGetSmootherDown(SNES, PetscInt, SNES *);
1351: PETSC_EXTERN PetscErrorCode SNESFASGetCoarseSolve(SNES, SNES *);
1353: /* parameters for full FAS */
1354: PETSC_EXTERN PetscErrorCode SNESFASFullSetDownSweep(SNES, PetscBool);
1355: PETSC_EXTERN PetscErrorCode SNESFASCreateCoarseVec(SNES, Vec *);
1356: PETSC_EXTERN PetscErrorCode SNESFASRestrict(SNES, Vec, Vec);
1357: PETSC_EXTERN PetscErrorCode SNESFASFullSetTotal(SNES, PetscBool);
1358: PETSC_EXTERN PetscErrorCode SNESFASFullGetTotal(SNES, PetscBool *);
1360: PETSC_EXTERN PetscErrorCode DMPlexSetSNESVariableBounds(DM, SNES);
1361: PETSC_EXTERN PetscErrorCode DMSNESCheckDiscretization(SNES, DM, PetscReal, Vec, PetscReal, PetscReal[]);
1362: PETSC_EXTERN PetscErrorCode DMSNESCheckResidual(SNES, DM, Vec, PetscReal, PetscReal *);
1363: PETSC_EXTERN PetscErrorCode DMSNESCheckJacobian(SNES, DM, Vec, PetscReal, PetscBool *, PetscReal *);
1364: PETSC_EXTERN PetscErrorCode DMSNESCheckFromOptions(SNES, Vec);
1365: PETSC_EXTERN PetscErrorCode DMSNESComputeJacobianAction(DM, Vec, Vec, Vec, void *);
1366: PETSC_EXTERN PetscErrorCode DMSNESCreateJacobianMF(DM, Vec, void *, Mat *);
1368: PETSC_EXTERN PetscErrorCode SNESNewtonALSetFunction(SNES, SNESFunctionFn *, void *ctx);
1369: PETSC_EXTERN PetscErrorCode SNESNewtonALGetFunction(SNES, SNESFunctionFn **, void **ctx);
1370: PETSC_EXTERN PetscErrorCode SNESNewtonALComputeFunction(SNES, Vec, Vec);
1371: PETSC_EXTERN PetscErrorCode SNESNewtonALGetLoadParameter(SNES, PetscReal *);
1373: /*MC
1374: SNESNewtonALCorrectionType - the approach used by `SNESNEWTONAL` to determine
1375: the correction to the current increment. While the exact correction satisfies
1376: the constraint surface at every iteration, it also requires solving a quadratic
1377: equation which may not have real roots. Conversely, the normal correction is more
1378: efficient and always yields a real correction and is the default.
1380: Values:
1381: + `SNES_NEWTONAL_CORRECTION_EXACT` - choose the correction which exactly satisfies the constraint
1382: - `SNES_NEWTONAL_CORRECTION_NORMAL` - choose the correction in the updated normal hyper-surface to the constraint surface
1384: Options Database Key:
1385: . -snes_newtonal_correction_type <exact> - select type from <exact,normal>
1387: Level: intermediate
1389: .seealso: `SNES`, `SNESNEWTONAL`, `SNESNewtonALSetCorrectionType()`
1390: M*/
1391: typedef enum {
1392: SNES_NEWTONAL_CORRECTION_EXACT = 0,
1393: SNES_NEWTONAL_CORRECTION_NORMAL = 1,
1394: } SNESNewtonALCorrectionType;
1395: PETSC_EXTERN const char *const SNESNewtonALCorrectionTypes[];
1397: PETSC_EXTERN PetscErrorCode SNESNewtonALSetCorrectionType(SNES, SNESNewtonALCorrectionType);