Solution to the Neumann problem exterior to a prolate spheroid by radial basis functions

被引：4

作者：

Le Gia, Q. T. ^{[1
]}

Stephan, E. P. ^{[2
,3
]}

Tran, T. ^{[1
]}

机构：

[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

[2] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

[3] Leibniz Univ Hannover, QUEST Ctr Quantum Engn & Space Time Res, D-30167 Hannover, Germany

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2011年 / 34卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Exterior Neumann problem; Boundary integral equation; Prolate spheroid; Radial basis function; POSITIVE-DEFINITE FUNCTIONS;

D O I：

10.1007/s10444-010-9145-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the exterior Neumann problem of the Laplacian with boundary condition on a prolate spheroid. We propose to use spherical radial basis functions in the solution of the boundary integral equation arising from the Dirichlet-to-Neumann map. Our approach is particularly suitable for handling of scattered data, e.g. satellite data. We also propose a preconditioning technique based on domain decomposition method to deal with ill-conditioned matrices arising from the approximation problem.

引用

页码：83 / 103

页数：21

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