Boundary integral equations on the sphere with radial basis functions: error analysis

T. Tran; Q.T. Le Gia; I.H. Sloan; E.P. Stephan

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Boundary integral equations on the sphere with radial basis functions: error analysis

机译：具有径向基函数的球面上的边界积分方程：误差分析

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摘要

Radial basis functions are used to define approximate solutions to boundary integral equations on the unit sphere. These equations arise from the integral reformulation of the Laplace equation in the exterior of the sphere, with given Dirichlet or Neumann data, and a vanishing condition at infinity. Error estimates are proved. Numerical results supporting the theoretical results are presented.

机译：径向基函数用于定义单位球面上边界积分方程的近似解。这些方程是在给定Dirichlet或Neumann数据以及无穷远消失条件下，球体外部Laplace方程的积分重新公式化产生的。误差估计被证明。给出了支持理论结果的数值结果。

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来源
《Applied numerical mathematics》 |2009年第11期|2857-2871|共15页
作者
T. Tran; Q.T. Le Gia; I.H. Sloan; E.P. Stephan;
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作者单位

School of Mathematics and Statistics, The University of New South Wales, Sydney 2052, Australia;

School of Mathematics and Statistics, The University of New South Wales, Sydney 2052, Australia;

School of Mathematics and Statistics, The University of New South Wales, Sydney 2052, Australia;

Institut fuer Angewandte Mathematik, Leibniz Universitaet Hannover, Welfengarten 1, 30167 Hannover, Germany;

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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 integral equation; sphere; radial basis function; spherical basis function;

机译：边界积分方程球;径向基函数球基函数;

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Boundary integral equations on the sphere with radial basis functions: error analysis

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