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#
\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#
Index of all DMPlex routines
Table of Contents for all manual pages
Index of all manual pages