Multilevel Approximation of Boundary Integral Operators

K. Giebermann

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Multilevel Approximation of Boundary Integral Operators

机译：边界积分算子的多级逼近

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In this paper we consider a multilevel approximation of boundary element matrices as they arise from the discretization of boundary integral equations by Galerkins method. Our main emphasis lies in the numerical treatment of boundary integral equations defined on complex detailed two-dimensional manifolds in the three dimensional space. Although we do not assume that the underlying discreti- zation has any hierarchical structure we present a scheme which provides us with a suitable hierarchy.

机译：在本文中，我们考虑了边界元矩阵的多级逼近，因为它们是通过Galerkins方法离散化边界积分方程组而产生的。我们的主要重点在于在三维空间中定义于复杂的详细二维流形上的边界积分方程的数值处理。尽管我们不假定基础离散具有任何层次结构，但我们提出了一种为我们提供合适层次结构的方案。

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来源
《Computing》 |2001年第3期|p.183-207|共25页
作者
K. Giebermann;
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作者单位

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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
中图分类计算技术、计算机技术;
关键词
Boundary integral equations; boundary element method; matrix compression; fast algo- rithms;

机译：边界积分方程;边界元法矩阵压缩快速算法;

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Multilevel Approximation of Boundary Integral Operators

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