petsc-3.12.5 2020-03-29
DMPlexComputeGradientClementInterpolant
This function computes the L2 projection of the cellwise gradient of a function u onto P1, and stores it in a Vec.
Synopsis
#include "petscdmplex.h"
PetscErrorCode DMPlexComputeGradientClementInterpolant(DM dm, Vec locX, Vec locC)
Collective on dm
Input Parameters
| dm | - The DM
|
| LocX | - The coefficient vector u_h
|
Output Parameter
locC -A Vec which holds the Clement interpolant of the gradient
Notes
Add citation to (Clement, 1975) and definition of the interpolant
\nabla u_h(v_i) = \sum_{T_i \in support(v_i)} |T_i| \nabla u_h(T_i) / \sum_{T_i \in support(v_i)} |T_i| where |T_i| is the cell volume
See Also
DMProjectFunction(), DMComputeL2Diff(), DMPlexComputeL2FieldDiff(), DMComputeL2GradientDiff()
Level
developer
Location
src/dm/impls/plex/plexfem.c
Index of all DMPLEX routines
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