PetscDSGetDynamicJacobian

Get the pointwise dynamic Jacobian, dF/du_t, function for given test and basis field

Synopsis

#include "petscds.h" 
PetscErrorCode PetscDSGetDynamicJacobian(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

Output Parameters

• 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, PetscDSSetJacobian()

Level

intermediate

Location

src/dm/dt/interface/dtds.c

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