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.

中文翻译：

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FEM求解器在实际电磁问题上的性能分析

本文对不同的商业和学术软件进行了比较分析。比较旨在检查集成自适应网格细化方法如何处理具有挑战性的电磁场相关问题。为了进行比较，本文检查了两个基准问题。第一个示例是 L 形域之类的测试问题的解决方案，该问题在几何中的某个点具有奇点。第二个问题是感应加热铝棒，其精确解需要解决非线性耦合物理场。该问题的精确求解需要应用自适应网格生成策略或在电磁域中应用非常精细的网格，这会显着增加计算复杂度。