Treatment of cement variables in the domain decomposition method for Maxwell’s equations

V. Rawat, Jin-Fa Lee
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引用次数: 7

Abstract

In this contribution we focus our attention on the cement variables of the DDM and consider their theoretical and practical treatment. We first determine the correct functional space of the continuous variables and then examine two possible representations in the VFEM. One choice is shown to provide superior solver convergence though its use results in sub-optimal error convergence. We then propose and validate a remedy to this problem by special treatment of non-planar interfaces. Finally, we demonstrate the scalability of the resulting method.
麦克斯韦方程组区域分解法中水泥变量的处理
在这篇文章中,我们将注意力集中在DDM的水泥变量上,并考虑它们的理论和实践处理。我们首先确定连续变量的正确泛函空间,然后研究两种可能的VFEM表示。有一种选择虽然会导致次优误差收敛,但它提供了较好的求解器收敛性。然后,我们提出并验证了一种通过特殊处理非平面界面来解决这个问题的方法。最后,我们演示了结果方法的可扩展性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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