Implementing a Point Source using Poisson's Equation
Model ID: 73
This model solves the Poisson equation on a unit disk with a point source in the origin. The easiest way to describe a point source in COMSOL Multiphysics is by using an extra weak term.
To obtain the weak formulation of the general Poisson equation, we multiply it with a test function u_test and integrate over the domain. The mesh density is dense, close to the origin, so as to resolve the singularity. The solution is compared to the analytical solution.
|A 2D surface plot with height expression showing the solution to Poisson's equation with a point source in the center of the disk.|