Fast Algorithms for Boundary Integral Equations

机译：边界积分方程的快速算法

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This article reviews several fast algorithms for boundary integral equations. After a brief introduction of the boundary integral equations for the Laplace and Helmholtz equations, we discuss in order the fast multipole method and its kernel independent variant, the hierarchical matrix framework, the wavelet based method, the high frequency fast multipole method, and the recently proposed multidirectional algorithm.

机译：本文回顾了边界积分方程的几种快速算法。在简要介绍了Laplace和Helmholtz方程的边界积分方程之后，我们依次讨论了快速多极方法及其独立于核的变量，分层矩阵框架，基于小波的方法，高频快速多极方法以及最近的讨论。提出的多方向算法。

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来源
《Multiscale modeling and simulation in science》|2007年|139-193|共55页
会议地点 Stockholm(SE)
作者
Lexing Ying;
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作者单位

Department of Mathematics, University of Texas, Austin, TX 78712, USA;

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会议组织
原文格式 PDF
正文语种 eng
中图分类高能物理学;
关键词
boundary integral equations; laplace equation; helmholtz equation; fast algorithms; fast multipole method; hierarchical matrices; wavelets; multiscale methods; multidirectional methods;

机译：边界积分方程拉普拉斯方程亥姆霍兹方程快速算法；快速多极法层次矩阵小波多尺度方法；多向方法;

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8. Fast Algorithms for the Integral Equations of the Inverse Scattering Problem. [R] . Anderson, B. D. O., Kailath, T. 1978

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Fast Algorithms for Boundary Integral Equations

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