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

被引：11
|
作者：
Tran, T. [1 ]
Le Gia, Q. T. [1 ]
Sloan, I. H. [1 ]
Stephan, E. P. [2 ]
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
来源：
APPLIED NUMERICAL MATHEMATICS | 2009年 / 59卷 / 11期
基金：
澳大利亚研究理事会;
关键词：
Boundary integral equation; Sphere; Radial basis function; Spherical basis function; SCATTERED DATA INTERPOLATION; POSITIVE-DEFINITE FUNCTIONS; APPROXIMATION;
D O I：
10.1016/j.apnum.2008.12.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：2857 / 2871
页数：15
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