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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="SNESMS"><H1>SNESMS</H1></A>
multi-stage smoothers
<H3><FONT COLOR="#CC3333">Options Database</FONT></H3>
<P>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-snes_ms_type </B></TD><TD>- type of multi-stage smoother
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-snes_ms_damping </B></TD><TD>- damping for multi-stage method
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Notes</FONT></H3>
These multistage methods are explicit Runge-Kutta methods that are often used as smoothers for
FAS multigrid for transport problems. In the linear case, these are equivalent to polynomial smoothers (such as Chebyshev).
<P>
Multi-stage smoothers should usually be preconditioned by point-block Jacobi to ensure proper scaling and to normalize the wave speeds.
<P>
The methods are specified in low storage form (Ketcheson 2010). New methods can be registered with <A HREF="../SNES/SNESMSRegister.html#SNESMSRegister">SNESMSRegister</A>().
<P>
<H3><FONT COLOR="#CC3333">References</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>1. </B></TD><TD>- Ketcheson (2010) Runge Kutta methods with minimum storage implementations (https://doi.org/10.1016/j.jcp.2009.11.006).
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>2. </B></TD><TD>- Jameson (1983) Solution of the Euler equations for two dimensional transonic flow by a multigrid method (https://doi.org/10.1016/0096-3003(83)90019-X).
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>3. </B></TD><TD>- Pierce and Giles (1997) Preconditioned multigrid methods for compressible flow calculations on stretched meshes (https://doi.org/10.1006/jcph.1997.5772).
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>4. </B></TD><TD>- Van Leer, Tai, and Powell (1989) Design of optimally smoothing multi-stage schemes for the Euler equations (https://doi.org/10.2514/6.1989-1933).
</TD></TR></TABLE>
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../SNES/SNESCreate.html#SNESCreate">SNESCreate</A>(), <A HREF="../SNES/SNES.html#SNES">SNES</A>, <A HREF="../SNES/SNESSetType.html#SNESSetType">SNESSetType</A>(), <A HREF="../SNES/SNESMS.html#SNESMS">SNESMS</A>, <A HREF="../SNESFAS/SNESFAS.html#SNESFAS">SNESFAS</A>, <A HREF="../KSP/KSPCHEBYSHEV.html#KSPCHEBYSHEV">KSPCHEBYSHEV</A>
<BR>
<P>
<P><B></B><H3><FONT COLOR="#CC3333">Level</FONT></H3>beginner<BR>
<H3><FONT COLOR="#CC3333">Location</FONT></H3>
</B><A HREF="../../../src/snes/impls/ms/ms.c.html#SNESMS">src/snes/impls/ms/ms.c</A>
<BR><A HREF="./index.html">Index of all SNES routines</A>
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