petsc-3.7.7 2017-09-25
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# PetscDSSetJacobian

Set the pointwise Jacobian function for given test and basis fields

### Synopsis

    #include "petscds.h"
    PetscErrorCode PetscDSSetJacobian(PetscDS prob, 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[], PetscScalar g0[]),
                                      void (*g1)(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[], PetscScalar g1[]),
                                      void (*g2)(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[], PetscScalar g2[]),
                                      void (*g3)(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[], PetscScalar g3[]))

Not collective

### Input Parameters

| prob | - 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

### Note: 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

### The calling sequence for the callbacks g0, g1, g2 and g3 is given by

    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, const PetscReal x[], PetscScalar g0[])

| dim | - the spatial dimension
| Nf | - the number of 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
| g0 | - output values at the current point

### See Also

PetscDSGetJacobian()

Level:intermediate
Location:src/dm/dt/interface/dtds.c
Index of all DM routines
Table of Contents for all manual pages
Index of all manual pages

### Examples

src/snes/examples/tutorials/ex12.c.html
src/snes/examples/tutorials/ex62.c.html
src/snes/examples/tutorials/ex77.c.html