DMPlexComputeClementInterpolant#

This function computes the L2 projection of the cellwise values of a function u onto P1

Synopsis#

#include "petscdmplex.h"   
PetscErrorCode DMPlexComputeClementInterpolant(DM dm, Vec locX, Vec locC)

Collective

Input Parameters#

dm - The DM
locX - The coefficient vector u_h

Output Parameter#

locC - A Vec which holds the Clement interpolant of the function

Note#

\( u_h(v_i) = \sum_{T_i \in support(v_i)} |T_i| u_h(T_i) / \sum_{T_i \in support(v_i)} |T_i| \) where \( |T_i| \) is the cell volume

See Also#

DMPlex: Unstructured Grids, DM, DMPLEX, DMProjectFunction(), DMComputeL2Diff(), DMPlexComputeL2FieldDiff(), DMComputeL2GradientDiff()

Level#

developer

Location#

src/dm/impls/plex/plexfem.c

Examples#

src/snes/tutorials/ex36.c

Index of all DMPlex routines
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Index of all manual pages