Calderón基于积分方程方法的预处理技术

Su Yan, Jianming Jin, Z. Nie
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引用次数: 1

摘要

本文讨论了基于积分方程方法的Calderón预处理技术的最新进展。简要介绍了四种不同的技术:用于分析完美电导体(PEC)问题的电场积分方程(EFIE)的低频Calderón预调节器,用于模拟电大问题的带有Calderón预调节器的增广EFIE (AEFIE),用于Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT)方程的几种Calderón-type预调节器,以及使用Calderón等式推导n- m ller方程。通过数值算例验证了所提方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Calderón preconditioning techniques for integral equation based methods
Some recent advances in the Calderón preconditioning techniques for integral-equation-based methods are discussed in this paper. Four different techniques are presented briefly: a low-frequency Calderón preconditioner for the electric-field integral equation (EFIE) in analyzing perfect electric conductor (PEC) problems, an augmented EFIE (AEFIE) with Calderón preconditioner for simulating electrically large problems, several Calderón-type preconditioners for the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equations, and the derivation of N-Müller equations using Calderón identities. A number of numerical examples are given to demonstrate the performance of the proposed approaches.
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