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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="PetscDTAltVInterior"><H1>PetscDTAltVInterior</H1></A>
Compute the interior product of a k-form with a vector
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscdt.h"
<A HREF="../Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../DT/PetscDTAltVInterior.html#PetscDTAltVInterior">PetscDTAltVInterior</A>(<A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> N, <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> k, const <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> *w, const <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> *v, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> *wIntv)
</PRE>
<H3><FONT COLOR="#CC3333">Input Arguments</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>N </B></TD><TD>- the dimension of the vector space, N >= 0
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>k </B></TD><TD>- the degree k of the k-form w, 0 <= k <= N
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>w </B></TD><TD>- a k-form, size [N choose k]
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>v </B></TD><TD>- an N dimensional vector
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Output Arguments</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>wIntv </B></TD><TD>- the (k-1)-form (w int v), size [N choose (k-1)]: (w int v) is defined by its action on (k-1) vectors {v_1, ..., v_{k-1}} as (w inv v)(v_1, ..., v_{k-1}) = w(v, v_1, ..., v_{k-1}).
</TD></TR></TABLE>
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../DT/PetscDTAltV.html#PetscDTAltV">PetscDTAltV</A>, <A HREF="../DT/PetscDTAltVInteriorMatrix.html#PetscDTAltVInteriorMatrix">PetscDTAltVInteriorMatrix</A>(), <A HREF="../DT/PetscDTAltVInteriorPattern.html#PetscDTAltVInteriorPattern">PetscDTAltVInteriorPattern</A>(), <A HREF="../DT/PetscDTAltVPullback.html#PetscDTAltVPullback">PetscDTAltVPullback</A>(), <A HREF="../DT/PetscDTAltVPullbackMatrix.html#PetscDTAltVPullbackMatrix">PetscDTAltVPullbackMatrix</A>()
<BR><P><B></B><H3><FONT COLOR="#CC3333">Level</FONT></H3>intermediate<BR>
<H3><FONT COLOR="#CC3333">Location</FONT></H3>
</B><A HREF="../../../src/dm/dt/interface/dtaltv.c.html#PetscDTAltVInterior">src/dm/dt/interface/dtaltv.c</A>
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