Simulation of the Poisson Equation on a Unit Circle | FEATool Multiphysics Tutorial

The classic Poisson equation is one of the most useful PDEs. Although one of the simplest equations, it is a very good model for the process of diffusion, and continuously turns up in many applications. It is therefore very fundamental to many simulation codes to be able to solve it correctly and efficiently, and a good model example to start with. This physics simulation tutorial will show how to set up and solve the Poisson equation for a scalar field, u = u(x), on a unit circle with radius r = 1.

► QUICK LINKS:
00:00 - Introduction
02:20 - Geometry definition
03:35 - Mesh generation
04:12 - Equation specification
04:50 - Boundary conditions
05:35 - Solving
06:05 - Postprocessing and visualization

#PDE #Poisson #Diffusion