多尺度问题的统一Nyström/Galerkin方法

2022 16th European Conference on Antennas and Propagation (EuCAP) Pub Date : 2022-03-27 DOI:10.23919/eucap53622.2022.9769089

F. Vico, M. Ferrando-Bataller, E. Antonino-Daviu, M. Cabedo-Fabrés

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引用次数: 0

摘要

积分方程方法在计算电磁学中有着广泛的应用。Galerkin和Nystrom是任意积分方程离散化的两种可能格式。在CEM社区中，Galerkin是迄今为止最常用的方案。Nystrom在处理第二类积分方程时具有一定的优势，但在处理多尺度几何时存在一定的缺点。本文提出了一种修正方法，并将其应用于电荷-电流积分方程。

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A unified Nyström/Galerkin method for for multiscale problems

Integral equation methods are widely used in computational electromagnetics (CEM). Galerkin and Nystrom are two possible schemes to discretize any integral equation. Among the CEM community, Galerkin is by far the most common scheme used. Nystrom has some advantages when dealing with second kind integral equations, nevertheless it has some disadvantages when dealing with multiscale geometries. In this paper we propose a fix for that and apply this to the Charge-current integral equation.

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2022 16th European Conference on Antennas and Propagation (EuCAP)

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