1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML3.2 EN">
<HTML>
<HEAD> <link rel="canonical" href="http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/SNES/SNESANDERSON.html" />
<META NAME="GENERATOR" CONTENT="DOCTEXT">
<TITLE>SNESANDERSON</TITLE>
</HEAD>
<BODY BGCOLOR="FFFFFF">
<div id="version" align=right><b>petsc-3.7.5 2017-01-01</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-3.7.5 v3.7.5 docs/manualpages/SNES/SNESANDERSON.html "><small>Report Typos and Errors</small></a></div>
<A NAME="SNESANDERSON"><H1>SNESANDERSON</H1></A>
Anderson Mixing method.
<P>
<H3><FONT COLOR="#CC3333">Options Database</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-snes_anderson_m </B></TD><TD>- Number of stored previous solutions and residuals
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-snes_anderson_beta </B></TD><TD>- Relaxation parameter; X_{update} = X + \beta F
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-snes_anderson_restart_type </B></TD><TD>- Type of restart (see <A HREF="../SNES/SNESNGMRES.html#SNESNGMRES">SNESNGMRES</A>)
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-snes_anderson_restart_it </B></TD><TD>- Number of iterations of restart conditions before restart
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-snes_anderson_restart </B></TD><TD>- Number of iterations before periodic restart
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-snes_anderson_monitor </B></TD><TD>- Prints relevant information about the ngmres iteration
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Notes</FONT></H3>
<P>
The Anderson Mixing method combines m previous solutions into a minimum-residual solution by solving a small linearized
optimization problem at each iteration.
<P>
Very similar to the <A HREF="../SNES/SNESNGMRES.html#SNESNGMRES">SNESNGMRES</A> algorithm.
<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>- D. G. Anderson. Iterative procedures for nonlinear integral equations.
J. Assoc. Comput. Mach., 12, 1965."
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>2. </B></TD><TD>- Peter R. Brune, Matthew G. Knepley, Barry F. Smith, and Xuemin Tu,"Composing Scalable Nonlinear Algebraic Solvers",
SIAM Review, 57(4), 2015
</TD></TR></TABLE>
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../SNES/SNESNGMRES.html#SNESNGMRES">SNESNGMRES</A>, <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/SNESType.html#SNESType">SNESType</A> (for list of available types)
<BR><P><B><P><B><FONT COLOR="#CC3333">Level:</FONT></B>beginner
<BR><FONT COLOR="#CC3333">Location:</FONT></B><A HREF="../../../src/snes/impls/ngmres/anderson.c.html#SNESANDERSON">src/snes/impls/ngmres/anderson.c</A>
<BR><A HREF="./index.html">Index of all SNES routines</A>
<BR><A HREF="../../index.html">Table of Contents for all manual pages</A>
<BR><A HREF="../singleindex.html">Index of all manual pages</A>
</BODY></HTML>
|
