petsc-master 2019-10-17
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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
Table of Contents for all manual pages
Index of all manual pages