Performance Analysis of FEM Solvers on Practical Electromagnetic Problems

TL;DR

This paper compares various FEM solvers' ability to handle complex electromagnetic problems, highlighting the efficiency of fully-hp adaptive meshing strategies in reducing computational complexity.

Contribution

It provides a comparative analysis of adaptive mesh refinement methods in FEM solvers for challenging electromagnetic problems, emphasizing the advantages of fully-hp adaptive meshing.

Findings

Fully-hp adaptive meshing reduces computational complexity.

Agros-suite's adaptive meshing outperforms automatic h-adaptivity.

Adaptive strategies effectively handle singularities and non-linear fields.

Abstract

The paper presents a comparative analysis of different commercial and academic software. The comparison aims to examine how the integrated adaptive grid refinement methodologies can deal with challenging, electromagnetic-field related problems. For this comparison, two benchmark problems were examined in the paper. The first example is a solution of an L-shape domain like test problem, which has a singularity at a certain point in the geometry. The second problem is an induction heated aluminum rod, which accurate solution needs to solve a non-linear, coupled physical fields. The accurate solution of this problem requires applying adaptive mesh generation strategies or applying a very fine mesh in the electromagnetic domain, which can significantly increase the computational complexity. The results show that the fully-hp adaptive meshing strategies, which are integrated into Agros-suite, can significantly reduce the task's computational complexity compared to the automatic h-adaptivity, which is part of the examined, popular commercial solvers.