Gallery: Poisson equation

This example shows how to solve the Poisson equation with a generic source term using the CT_MultiLevel elliptic solver. Documentation for CT_MultiLevel is available. 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.

Parameter file	poisson.par
Thornlist	ET Landau release (ET_2024_05)
approx. memory	32 GB
approx. runtime	10 min using 8 CPUs (1 node, 8 mpi tasks, and 1 cpu per task)
Results (279MB)	poisson_20240620.tgz

This example was last tested on Jun-20-2024.

Solution and sources

This file was generated using the VisIt session file psi2.session.

Solution Error

The above image is created with ploterr.py