PetscDSSetJacobian#

Set the pointwise Jacobian function for given test and basis fields

Synopsis#

#include "petscds.h" 
PetscErrorCode PetscDSSetJacobian(PetscDS ds, PetscInt f, PetscInt g, void (*g0)(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 g0[]), void (*g1)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), void (*g2)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), void (*g3)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]))

Not Collective

Input Parameters#

  • ds - The PetscDS

  • f - The test field number

  • g - The field number

  • g0 - integrand for the test and basis function term

  • g1 - integrand for the test function and basis function gradient term

  • g2 - integrand for the test function gradient and basis function term

  • g3 - integrand for the test function gradient and basis function gradient term

Calling sequence of g0#

  • dim - the spatial dimension

  • Nf - the number of fields

  • NfAux - the number of auxiliary fields

  • uOff - the offset into u[] and u_t[] for each field

  • uOff_x - the offset into u_x[] for each field

  • u - each field evaluated at the current point

  • u_t - the time derivative of each field evaluated at the current point

  • u_x - the gradient of each field evaluated at the current point

  • aOff - the offset into a[] and a_t[] for each auxiliary field

  • aOff_x - the offset into a_x[] for each auxiliary field

  • a - each auxiliary field evaluated at the current point

  • a_t - the time derivative of each auxiliary field evaluated at the current point

  • a_x - the gradient of auxiliary each field evaluated at the current point

  • t - current time

  • u_tShift - the multiplier a for dF/dU_t

  • x - coordinates of the current point

  • numConstants - number of constant parameters

  • constants - constant parameters

  • g0 - output values at the current point

Note#

g1, g2, and g3 have identical calling sequences to g0 and are omitted for brevity.

We are using a first order FEM model for the weak form: \int_\Omega \phi g_0(u, u_t, \nabla u, x, t) \psi + \phi {\vec g}_1(u, u_t, \nabla u, x, t) \nabla \psi + \nabla\phi \cdot {\vec g}_2(u, u_t, \nabla u, x, t) \psi + \nabla\phi \cdot {\overleftrightarrow g}_3(u, u_t, \nabla u, x, t) \cdot \nabla \psi

See Also#

PetscDS, PetscDSGetJacobian()

Level#

intermediate

Location#

src/dm/dt/interface/dtds.c

Examples#

src/snes/tutorials/ex36.c
src/tao/tutorials/ex1.c
src/snes/tutorials/ex17.c
src/tao/tutorials/ex2.c
src/snes/tutorials/ex69.c
src/snes/tutorials/ex63.c
src/snes/tutorials/ex26.c
src/snes/tutorials/ex11.c
src/snes/tutorials/ex76.c
src/tao/tutorials/ex3.c


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