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>