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   <div id="version" align=right><b>petsc-3.10.3 2018-12-18</b></div>
   <div id="bugreport" align=right><a href="mailto:petsc-maint@mcs.anl.gov?subject=Typo or Error in Documentation &body=Please describe the typo or error in the documentation: petsc-3.10.3 v3.10.3 docs/manualpages/DM/PetscDualSpaceApplyDefault.html "><small>Report Typos and Errors</small></a></div>
<A NAME="PetscDualSpaceApplyDefault"><H1>PetscDualSpaceApplyDefault</H1></A>
Apply a functional from the dual space basis to an input function by assuming a point evaluation functional. 
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscfe.h" 
<A HREF="../Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../DM/PetscDualSpaceApplyDefault.html#PetscDualSpaceApplyDefault">PetscDualSpaceApplyDefault</A>(<A HREF="../DM/PetscDualSpace.html#PetscDualSpace">PetscDualSpace</A> sp, <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> f, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> time, PetscFEGeom *cgeom, <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> Nc, <A HREF="../Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> (*func)(<A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A>, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A>, const <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> [], <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A>, <A HREF="../Sys/PetscScalar.html#PetscScalar">PetscScalar</A> *, void *), void *ctx, <A HREF="../Sys/PetscScalar.html#PetscScalar">PetscScalar</A> *value)
</PRE>
<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>sp    </B></TD><TD>- The <A HREF="../DM/PetscDualSpace.html#PetscDualSpace">PetscDualSpace</A> object
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>f     </B></TD><TD>- The basis functional index
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>time  </B></TD><TD>- The time
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>cgeom </B></TD><TD>- A context with geometric information for this cell, we use v0 (the initial vertex) and J (the Jacobian)
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>Nc    </B></TD><TD>- The number of components for the function
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>func  </B></TD><TD>- The input function
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>ctx   </B></TD><TD>- A context for the function
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Output Parameter</FONT></H3>
<DT><B>value   </B> -The output value
<br>
<P>
<H3><FONT COLOR="#CC3333">Note: The calling sequence for the callback func is given by</FONT></H3>
<P>
<pre>
func(<A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> dim, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> time, const <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> x[],
</pre>
<pre>
     <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> numComponents, <A HREF="../Sys/PetscScalar.html#PetscScalar">PetscScalar</A> values[], void *ctx)
</pre>
<P>
and the idea is to evaluate the functional as an integral
<P>
<pre>
n(f) = int dx n(x) . f(x)
</pre>
<P>
where both n and f have Nc components.
<P>

<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
 <A HREF="../DM/PetscDualSpaceCreate.html#PetscDualSpaceCreate">PetscDualSpaceCreate</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/dt/dualspace/interface/dualspace.c.html#PetscDualSpaceApplyDefault">src/dm/dt/dualspace/interface/dualspace.c</A>
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