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<div id="version" align=right><b>petsc-3.14.5 2021-03-03</b></div>
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<A NAME="DMPlexComputeGradientClementInterpolant"><H1>DMPlexComputeGradientClementInterpolant</H1></A>
This function computes the L2 projection of the cellwise gradient of a function u onto P1, and stores it in a <A HREF="../Vec/Vec.html#Vec">Vec</A>.
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscdmplex.h"
<A HREF="../Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../DMPLEX/DMPlexComputeGradientClementInterpolant.html#DMPlexComputeGradientClementInterpolant">DMPlexComputeGradientClementInterpolant</A>(<A HREF="../DM/DM.html#DM">DM</A> dm, <A HREF="../Vec/Vec.html#Vec">Vec</A> locX, <A HREF="../Vec/Vec.html#Vec">Vec</A> locC)
</PRE>
Collective on dm
<P>
<H3><FONT COLOR="#CC3333">Input Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>dm </B></TD><TD>- The <A HREF="../DM/DM.html#DM">DM</A>
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>LocX </B></TD><TD>- The coefficient vector u_h
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Output Parameter</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>locC </B></TD><TD>- A <A HREF="../Vec/Vec.html#Vec">Vec</A> which holds the Clement interpolant of the gradient
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Notes</FONT></H3>
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
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../DM/DMProjectFunction.html#DMProjectFunction">DMProjectFunction</A>(), <A HREF="../DM/DMComputeL2Diff.html#DMComputeL2Diff">DMComputeL2Diff</A>(), DMPlexComputeL2FieldDiff(), <A HREF="../DM/DMComputeL2GradientDiff.html#DMComputeL2GradientDiff">DMComputeL2GradientDiff</A>()
<BR><P><B></B><H3><FONT COLOR="#CC3333">Level</FONT></H3>developer<BR>
<H3><FONT COLOR="#CC3333">Location</FONT></H3>
</B><A HREF="../../../src/dm/impls/plex/plexfem.c.html#DMPlexComputeGradientClementInterpolant">src/dm/impls/plex/plexfem.c</A>
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