Analytical method for the evaluation of singular integrals arising from boundary element method in electromagnetism

Oueslati Soumaya; Balloumi Imen; Daveau Christian; Khelifi Abdessatar

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Analytical method for the evaluation of singular integrals arising from boundary element method in electromagnetism

机译：电磁下边界元法产生奇异积分的分析方法

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摘要

We present a new method for the explicit evaluation of single and double layers involved in a boundary element method to solve Maxwell's equations in the harmonic regime. This is an analytical method.

机译：我们提出了一种新方法，用于明确评估涉及边界元方法的单层和双层，以解决谐波制度中的麦克斯韦方程。这是一种分析方法。

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来源
《International journal of numerical modelling》 |2021年第1期|e2792.1-e2792.29|共29页
作者
Oueslati Soumaya; Balloumi Imen; Daveau Christian; Khelifi Abdessatar;
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作者单位

Univ CY Cergy Paris Dept Math Cergy Pontoise France;

Univ CY Cergy Paris Dept Math Cergy Pontoise France;

Univ CY Cergy Paris Dept Math Cergy Pontoise France;

Univ Carthage Dept Math Carthage Tunisia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
boundary element method; Maxwell equations; scattering problem; singular integral;

机译：边界元法;麦克斯韦方程;散射问题;奇异积分;

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专利

1. Elementary analytical integrals required in subtraction of singularity method for evaluation of weakly singular boundary integrals [J] . Krishna M. Singh, Masataka Tanaka Engineering analysis with boundary elements . 2007,第3期

机译：减去奇异性方法所需的基本分析积分，用于评估弱奇异边界积分
2. A semi-analytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods [J] . Zhongrong Niu, W.L. Wendland, Xiuxi Wang, Computer Methods in Applied Mechanics and Engineering . 2005,第9a11期

机译：三维边界元法中近似奇异积分求值的半解析算法
3. The semi-analytical evaluation for nearly singular integrals in isogeometric elasticity boundary element method [J] . Han Zhilin, Cheng Changzheng, Hu Zongjun, Engineering analysis with boundary elements . 2018,第OCTa期

机译：等几何弹性边界元法中几乎奇异积分的半解析评估
4. On the fully analytical integration of singular double integrals arising from the integral equation methods [C] . Taskinen Matti 2011 Computational Electromagnetics International Workshop . 2011

机译：关于由积分方程法产生的奇异双积分的完全解析积分
5. A unified interpretation for singular and near-singular integrals in the boundary element method. [D] . Rosen, Dan. 1993

机译：边界元法中奇异积分和近奇积分的统一解释。
6. Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations [O] . Michael Feischl, Gregor Gantner, Dirk Praetorius -1

机译：弱奇异积分方程的自适应IGA边界元方法的可靠高效后验误差估计
7. A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method [O] . Johnston Barbara, Johnston Peter, Elliott David 2013

机译：3D边界元法中三角元近似奇异积分数值评估的一种新方法

Analytical method for the evaluation of singular integrals arising from boundary element method in electromagnetism

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