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<div id="version" align=right><b>petsc-3.7.5 2017-01-01</b></div>
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<A NAME="PetscFEIntegrateResidual"><H1>PetscFEIntegrateResidual</H1></A>
Produce the element residual vector for a chunk of elements by quadrature integration
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscfe.h"
PetscErrorCode PetscFEIntegrateResidual(PetscFE fem, PetscDS prob, PetscInt field, PetscInt Ne, PetscFECellGeom *geom,
const PetscScalar coefficients[], const PetscScalar coefficients_t[], PetscDS probAux, const PetscScalar coefficientsAux[], PetscScalar elemVec[])
</PRE>
Not collective
<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>fem </B></TD><TD>- The <A HREF="../DM/PetscFE.html#PetscFE">PetscFE</A> object for the field being integrated
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>prob </B></TD><TD>- The <A HREF="../DM/PetscDS.html#PetscDS">PetscDS</A> specifying the discretizations and continuum functions
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>field </B></TD><TD>- The field being integrated
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>Ne </B></TD><TD>- The number of elements in the chunk
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>geom </B></TD><TD>- The cell geometry for each cell in the chunk
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>coefficients </B></TD><TD>- The array of FEM basis coefficients for the elements
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>coefficients_t </B></TD><TD>- The array of FEM basis time derivative coefficients for the elements
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>probAux </B></TD><TD>- The <A HREF="../DM/PetscDS.html#PetscDS">PetscDS</A> specifying the auxiliary discretizations
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>coefficientsAux </B></TD><TD>- The array of FEM auxiliary basis coefficients for the elements
</TD></TR></TABLE>
<P>
Output Parameter
<DT><B>elemVec </B> -the element residual vectors from each element
<br>
<P>
<H3><FONT COLOR="#CC3333">Note</FONT></H3>
<pre>
Loop over batch of elements (e):
</pre>
<pre>
Loop over quadrature points (q):
</pre>
<pre>
Make u_q and gradU_q (loops over fields,Nb,Ncomp) and x_q
</pre>
<pre>
Call f_0 and f_1
</pre>
<pre>
Loop over element vector entries (f,fc --> i):
</pre>
<pre>
elemVec[i] += \psi^{fc}_f(q) f0_{fc}(u, \nabla u) + \nabla\psi^{fc}_f(q) \cdot f1_{fc,df}(u, \nabla u)
</pre>
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../DM/PetscFEIntegrateResidual.html#PetscFEIntegrateResidual">PetscFEIntegrateResidual</A>()
<BR><P><B><P><B><FONT COLOR="#CC3333">Level:</FONT></B>developer
<BR><FONT COLOR="#CC3333">Location:</FONT></B><A HREF="../../../src/dm/dt/interface/dtfe.c.html#PetscFEIntegrateResidual">src/dm/dt/interface/dtfe.c</A>
<BR><A HREF="./index.html">Index of all DM routines</A>
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