[Commits] [svn:einsteintoolkit] www/about/gallery/ (Rev. 1489)
www-push at einsteintoolkit.org
www-push at einsteintoolkit.org
Tue Oct 13 11:48:55 CDT 2015
User: www-push
Date: 2015/10/13 11:48 AM
Modified:
/about/gallery/
incoming.php
Log:
Update elliptic solver gallery example text
Text provided by Eloisa Bentivegna (23-Jun-2015).
File Changes:
Directory: /about/gallery/
==========================
File [modified]: incoming.php
Delta lines: +8 -7
===================================================================
--- about/gallery/incoming.php 2015-08-31 14:51:07 UTC (rev 1488)
+++ about/gallery/incoming.php 2015-10-13 16:48:55 UTC (rev 1489)
@@ -12,13 +12,14 @@
Poisson equation with
the <a href="https://bitbucket.org/eloisa/cosmology/src/master/CT_MultiLevel/?at=master">CT_MultiLevel</a>
elliptic solver. <a href="poisson/doc/CT_MultiLevel/documentation.html">Documentation</a> for CT_MultiLevel is available.
- <p>This simulation shows how to solve an elliptic equation. The
- source term and boundary conditions are specified via grid
- functions, in this case provided by the CT_Analytic thorn. Fixed
- mesh refinement concentrates points in the neighbourhood of the
- Gaussians, and a multigrid algorithm is used to solve the Poisson
- equation. The plots below show the converged solution, and the norm
- of the solution error as a function of time.</p>
+ <p>This example shows how to solve the Poisson equation with a generic
+ source term. To assess the performance of the algorithm, we start by
+ prescribing a solution phi0 (in this case, a superposition of Gaussian
+ functions), and construct the source term by taking the Laplacian of
+ phi0. The plots show the final solution phi (color plot), the source term
+ (white contour surfaces) and the solution error phi-phi0 as a function
+ of the iteration number.</p>
+
<table>
<tr><th>Parameter file</th><td><a href="poisson/poisson.par">poisson.par</a></td></tr>
<tr><th>Thornlist</th><td><a href="poisson/poisson.th">poisson.th</a></td></tr>
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