TSDiscGradSetImplicitFormulation#

Set the construction method for IG and its Jacobian from the formulation \(IG(t) = u_t - S(u) \nabla F(u)\) for TSDISCGRAD

Synopsis#

#include "petscts.h"   
PetscErrorCode TSDiscGradSetImplicitFormulation(TS ts, PetscErrorCode (*IGfunc)(TS ts, PetscReal time, Vec u, Vec u_t, Vec G, void *ctx), PetscErrorCode (*IGjac)(TS ts, PetscReal time, Vec u, Vec u_t, PetscReal shift, Mat J, Mat Jp, void *ctx))

Not Collective

Input Parameters#

ts - timestepping context
IGfunc - implicit formulation
IGjac - implicit Jacobian

Calling sequence of `IGfunc`#

ts - the integrator
time - the current time
u - the solution
u_t - the time derivative
G - the LHS of the formulation
ctx - the user context

Calling sequence of `IGjac`#

ts - the integrator
time - the current time
u - the solution
u_t - the time derivative
shift - the multiplier for the time derivative part
J - the Jacobian of the LHS
Jp - the Jacobian preconditioner of the LHS
ctx - the user context

Note#

This allows the DG formulation to be given in the PETSc style for fully implicit solvers.

Level#

intermediate

Location#

src/ts/impls/implicit/discgrad/tsdiscgrad.c

Implementations#

TSDiscGradSetImplicitFormulation_DiscGrad(TS ts, PetscErrorCode (*IGfunc)(TS ts, PetscReal time, Vec u, Vec u_t, Vec G, void *ctx), PetscErrorCode (*IGjac)() in src/ts/impls/implicit/discgrad/tsdiscgrad.c

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