petsc-3.13.6 2020-09-29

PetscDualSpaceGetFormDegree

Get the form degree k for the k-form the describes the pushforwards/pullbacks of this dual space's functionals.

Synopsis

#include "petscfe.h" 
PetscErrorCode PetscDualSpaceGetFormDegree(PetscDualSpace dsp, PetscInt *k)

Input Parameter

dsp -The PetscDualSpace

Output Parameter

k -The *signed* degree k of the k. If k >= 0, this means that the degrees of freedom are k-forms, and are stored in lexicographic order according to the basis of k-forms constructed from the wedge product of 1-forms. So for example, the 1-form basis in 3-D is (dx, dy, dz), and the 2-form basis in 3-D is (dx wedge dy, dx wedge dz, dy wedge dz). If k < 0, this means that the degrees transform as k-forms, but are stored as (N-k) forms according to the Hodge star map. So for example if k = -2 and N = 3, this means that the degrees of freedom transform as 2-forms but are stored as 1-forms.

Level

developer

Location