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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="PetscDSGetJacobian"><H1>PetscDSGetJacobian</H1></A>
Get the pointwise Jacobian function for given test and basis field
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscds.h"
PetscErrorCode PetscDSGetJacobian(PetscDS prob, PetscInt f, PetscInt g,
void (**g0)(PetscInt dim, PetscInt Nf, PetscInt NfAux,
const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscScalar g0[]),
void (**g1)(PetscInt dim, PetscInt Nf, PetscInt NfAux,
const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscScalar g1[]),
void (**g2)(PetscInt dim, PetscInt Nf, PetscInt NfAux,
const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscScalar g2[]),
void (**g3)(PetscInt dim, PetscInt Nf, PetscInt NfAux,
const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscScalar g3[]))
</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>prob </B></TD><TD>- The <A HREF="../DM/PetscDS.html#PetscDS">PetscDS</A>
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>f </B></TD><TD>- The test field number
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>g </B></TD><TD>- The field number
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Output Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>g0 </B></TD><TD>- integrand for the test and basis function term
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>g1 </B></TD><TD>- integrand for the test function and basis function gradient term
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>g2 </B></TD><TD>- integrand for the test function gradient and basis function term
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>g3 </B></TD><TD>- integrand for the test function gradient and basis function gradient term
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Note: We are using a first order FEM model for the weak form</FONT></H3>
<P>
\int_\Omega \phi g_0(u, u_t, \nabla u, x, t) \psi + \phi {\vec g}_1(u, u_t, \nabla u, x, t) \nabla \psi + \nabla\phi \cdot {\vec g}_2(u, u_t, \nabla u, x, t) \psi + \nabla\phi \cdot {\overleftrightarrow g}_3(u, u_t, \nabla u, x, t) \cdot \nabla \psi
<P>
<H3><FONT COLOR="#CC3333">The calling sequence for the callbacks g0, g1, g2 and g3 is given by</FONT></H3>
<P>
<pre>
g0(<A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> dim, <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> Nf, <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> NfAux,
</pre>
<pre>
const <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> uOff[], const <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> uOff_x[], const <A HREF="../Sys/PetscScalar.html#PetscScalar">PetscScalar</A> u[], const <A HREF="../Sys/PetscScalar.html#PetscScalar">PetscScalar</A> u_t[], const <A HREF="../Sys/PetscScalar.html#PetscScalar">PetscScalar</A> u_x[],
</pre>
<pre>
const <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> aOff[], const <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> aOff_x[], const <A HREF="../Sys/PetscScalar.html#PetscScalar">PetscScalar</A> a[], const <A HREF="../Sys/PetscScalar.html#PetscScalar">PetscScalar</A> a_t[], const <A HREF="../Sys/PetscScalar.html#PetscScalar">PetscScalar</A> a_x[],
</pre>
<pre>
<A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> t, const <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> u_tShift, const <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> x[], <A HREF="../Sys/PetscScalar.html#PetscScalar">PetscScalar</A> g0[])
</pre>
<P>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>dim </B></TD><TD>- the spatial dimension
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>Nf </B></TD><TD>- the number of fields
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>uOff </B></TD><TD>- the offset into u[] and u_t[] for each field
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>uOff_x </B></TD><TD>- the offset into u_x[] for each field
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>u </B></TD><TD>- each field evaluated at the current point
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>u_t </B></TD><TD>- the time derivative of each field evaluated at the current point
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>u_x </B></TD><TD>- the gradient of each field evaluated at the current point
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>aOff </B></TD><TD>- the offset into a[] and a_t[] for each auxiliary field
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>aOff_x </B></TD><TD>- the offset into a_x[] for each auxiliary field
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>a </B></TD><TD>- each auxiliary field evaluated at the current point
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>a_t </B></TD><TD>- the time derivative of each auxiliary field evaluated at the current point
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>a_x </B></TD><TD>- the gradient of auxiliary each field evaluated at the current point
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>t </B></TD><TD>- current time
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>u_tShift </B></TD><TD>- the multiplier a for dF/dU_t
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>x </B></TD><TD>- coordinates of the current point
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>g0 </B></TD><TD>- output values at the current point
</TD></TR></TABLE>
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../DM/PetscDSSetJacobian.html#PetscDSSetJacobian">PetscDSSetJacobian</A>()
<BR><P><B><P><B><FONT COLOR="#CC3333">Level:</FONT></B>intermediate
<BR><FONT COLOR="#CC3333">Location:</FONT></B><A HREF="../../../src/dm/dt/interface/dtds.c.html#PetscDSGetJacobian">src/dm/dt/interface/dtds.c</A>
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