From: bangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Date: Sun, 20 Jun 2010 18:53:43 +0000 (+0000)
Subject: Talk about better solvers.
X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=65f8b14153b7bed15955be43d0397b2a6316351d;p=dealii-svn.git

Talk about better solvers.


git-svn-id: https://svn.dealii.org/trunk@21238 0785d39b-7218-0410-832d-ea1e28bc413d
---

diff --git a/deal.II/examples/step-20/doc/results.dox b/deal.II/examples/step-20/doc/results.dox
index e25dcb6cdf..14323265b2 100644
--- a/deal.II/examples/step-20/doc/results.dox
+++ b/deal.II/examples/step-20/doc/results.dox
@@ -170,6 +170,7 @@ The result concerning the convergence order is the same here.
 <a name="extensions"></a>
 <h3>Possibilities for extensions</h3>
 
+<h4>More realistic permeability fields</h4>
 
 Realistic flow computations for ground water or oil reservoir simulations will
 not use a constant permeability. Here's a first, rather simple way to change
@@ -291,3 +292,16 @@ follows:
 @image html step-20.p-random.png
 
 We will use these permeability fields again in step-21.
+
+
+<h4>Better linear solvers</h4>
+
+As mentioned in the introduction, the Schur complement solver used here is not
+the best one conceivable (nor is it intended to be a particularly good
+one). Better ones can be found in the literture and can be built using the
+same block matrix techniques that were introduced here. We pick up on this
+theme again in step-22, where we first build a Schur complement solver for the
+Stokes equation as we did here, and then in the <a
+href="step_22#improved-solver">Improved Solvers</a> section discuss better
+ways based on solving the system as a whole but preconditioning based on
+individual blocks.