On the Convergence Order of COMSOL Solutions

A. Bradji1, and E. Holzbecher2
1Charles University, Prague, Czech Republic
2Weierstrass Institute for Applied Analysis and Stochastics WIAS, Berlin, Germany

The convergence of numerical solutions is mainly determined by the convergence order, which quantifies the improvement of the solution when the mesh is refined.

In this paper we examine various differential equations and the convergence behavior of their COMSOL Finite Element solutions.

The numerically observed convergence rates are compared with theoretical results, as far as these are available. The examples show that, for the studied cases, the convergence rate of COMSOL is identical to the theoretically derived convergence rates.