mld2p4-2:

Start update of documentation.
This commit is contained in:
Salvatore Filippone
2012-10-04 15:08:16 +00:00
parent bfd0d14a2a
commit ab453d36da
21 changed files with 1371 additions and 1299 deletions
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@@ -295,7 +295,7 @@ ILU(<IMG
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img36.png"
ALT="$p,t$">) [<A
HREF="node25.html#Saad_book">20</A>, Chapter 10].
HREF="node25.html#Saad_book">21</A>, Chapter 10].
<P>
A variant of the classical AS preconditioner that outperforms it
@@ -387,7 +387,7 @@ of <IMG
SRC="img11.png"
ALT="$W$"> increases [<A
HREF="node25.html#dd1_94">7</A>,<A
HREF="node25.html#dd2_96">21</A>]. To reduce the dependency
HREF="node25.html#dd2_96">22</A>]. To reduce the dependency
of the number of iterations on the degree of parallelism we may
introduce a global coupling among the overlapping partitions by defining
a coarse-space approximation <IMG
@@ -642,12 +642,12 @@ in which the coarse-level correction is re-applied starting from the current
coarse-level system. The corresponding preconditioners, called <I>multi-level</I>
preconditioners, can significantly reduce the computational cost of preconditioning
with respect to the two-level case (see [<A
HREF="node25.html#dd2_96">21</A>, Chapter 3]).
HREF="node25.html#dd2_96">22</A>, Chapter 3]).
Additive and hybrid multilevel preconditioners
are obtained as direct extensions of the two-level counterparts.
For a detailed descrition of them, the reader is
referred to [<A
HREF="node25.html#dd2_96">21</A>, Chapter 3].
HREF="node25.html#dd2_96">22</A>, Chapter 3].
The algorithm for the application of a multi-level hybrid
post-smoothed preconditioner <IMG
WIDTH="23" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
@@ -685,7 +685,7 @@ denoted by <IMG
SRC="img67.png"
ALT="$R_l$">.
<DIV ALIGN="CENTER"><A NAME="fig:mlhpost_alg"></A><A NAME="509"></A>
<DIV ALIGN="CENTER"><A NAME="fig:mlhpost_alg"></A><A NAME="511"></A>
<TABLE>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 1:</STRONG>
Application of the multi-level hybrid post-smoothed preconditioner.</CAPTION>