论文标题

对实用电磁问题的FEM解决器的性能分析

Performance Analysis of FEM Solvers on Practical Electromagnetic Problems

论文作者

Kiss, Gergely Máté, Kaska, Jan, de Oliveira, Roberto André Henrique, Rubanenko, Olena, Tóth, Balázs

论文摘要

该论文对不同的商业和学术软件进行了比较分析。该比较旨在研究综合自适应网格细化方法如何处理具有挑战性的电磁体相关问题。为了进行此比较,在本文中检查了两个基准问题。第一个示例是L形域(例如测试问题)的解决方案,该域在几何学的某个点具有奇异性。第二个问题是感应加热的铝杆,该铝棒需要精确的溶液来求解非线性的,耦合的物理场。该问题的准确解决方案需要应用自适应网格生成策略或在电磁域中应用非常细的网格,这可以显着提高计算复杂性。结果表明,与自动H-h-Aspaptivity相比,完全HP的自适应网格划分策略可以显着降低任务的计算复杂性,而H-H-自适应性是所检查的,受欢迎的商业求解器的一部分。

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.

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