ISOGEOMETRIC BOUNDARY ELEMENTS IN ELECTROMAGNETISM: RIGOROUS ANALYSIS, FAST METHODS, AND EXAMPLES

被引：22

作者：

Doelz, Juergen ^{[1
]}

Kurz, Stefan ^{[1
]}

Schoeps, Sebastian ^{[1
]}

Wolf, Felix ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Ctr Computat Engn, Inst Accelerator Sci & Electromagnet Fields, D-64293 Darmstadt, Germany

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2019年 / 41卷 / 05期

基金：

瑞士国家科学基金会;

关键词：

BEM; FMM; IGA; electromagnetic scattering; EFIE; FIELD INTEGRAL-EQUATION; FAST MULTIPOLE METHOD; FINITE-ELEMENTS; APPROXIMATION; BEM; CONVERGENCE; QUADRATURE; LAPLACE;

D O I：

10.1137/18M1227251

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze a new approach to three-dimensional electromagnetic scattering problems via fast isogeometric boundary element methods. Starting with an investigation of the theoretical setting around the electric field integral equation within the isogeometric framework, we show existence, uniqueness, and quasi optimality of the isogeometric approach. For a fast and efficient computation, we then introduce and analyze an interpolation-based fast multipole method tailored to the isogeometric setting, which admits competitive algorithmic and complexity properties. This is followed by a series of numerical examples of industrial scope, together with a detailed presentation and interpretation of the results.

引用

页码：B983 / B1010

页数：28

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