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, PetscPointJacFn **g0, PetscPointJacFn **g1, PetscPointJacFn **g2, PetscPointJacFn **g3)

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, see PetscPointJacFn
g1 - integrand for the test function and basis function gradient term, see PetscPointJacFn
g2 - integrand for the test function gradient and basis function term, see PetscPointJacFn
g3 - integrand for the test function gradient and basis function gradient term, see PetscPointJacFn

Note#

We are using a first order FEM model for the weak form:

\[ \int_\Omega \phi\, g_0(u, u_t, \nabla u, x, t) \psi + \phi\, {\vec g}_1(u, u_t, \nabla u, x, t) \nabla \psi + \nabla\phi \cdot {\vec g}_2(u, u_t, \nabla u, x, t) \psi + \nabla\phi \cdot {\overleftrightarrow g}_3(u, u_t, \nabla u, x, t) \cdot \nabla \psi \]

Level#

intermediate

Location#

src/dm/dt/interface/dtds.c

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