petsc-3.14.6 2021-03-30

PetscDualSpacePullback

Transform the given functional so that it operates on real space, rather than the reference element. Operationally, this means that we map the function evaluations depending on continuity requirements of our finite element method.

Synopsis

#include "petscfe.h" 
PetscErrorCode PetscDualSpacePullback(PetscDualSpace dsp, PetscFEGeom *fegeom, PetscInt Nq, PetscInt Nc, PetscScalar pointEval[])

Input Parameters

	dsp	- The PetscDualSpace
	fegeom	- The geometry for this cell
	Nq	- The number of function samples
	Nc	- The number of function components
	pointEval	- The function values

Output Parameter

pointEval

- The transformed function values

Note: Functions transform in a complementary way (pushforward) to functionals, so that the scalar product is invariant. The type of transform is dependent on the associated k-simplex from the DeRahm complex.

Note: This only handles tranformations when the embedding dimension of the geometry in fegeom is the same as the reference dimension.

Level

advanced

Location