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# 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.

## See Also

`PetscDualSpace`, `PetscDTAltV`, `PetscDualSpacePullback()`, `PetscDualSpacePushforward()`, `PetscDualSpaceTransform()`, `PetscDualSpaceTransformType`

## Level

developer

## Location

src/dm/dt/dualspace/interface/dualspace.c

Index of all DUALSPACE routines
Table of Contents for all manual pages
Index of all manual pages