From 65f8b14153b7bed15955be43d0397b2a6316351d Mon Sep 17 00:00:00 2001 From: bangerth Date: Sun, 20 Jun 2010 18:53:43 +0000 Subject: [PATCH] Talk about better solvers. git-svn-id: https://svn.dealii.org/trunk@21238 0785d39b-7218-0410-832d-ea1e28bc413d --- deal.II/examples/step-20/doc/results.dox | 14 ++++++++++++++ 1 file changed, 14 insertions(+) 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.

Possibilities for extensions

+

More realistic permeability fields

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. + + +

Better linear solvers

+ +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 Improved Solvers section discuss better +ways based on solving the system as a whole but preconditioning based on +individual blocks. -- 2.39.5