The method of fundamental solutions applied to boundary value problems on the surface of a sphere

被引：12

作者：

Alves, Carlos J. S. ^{[1
,2
]}

Antunes, Pedro R. S. ^{[3
]}

机构：

[1] Univ Lisbon, IST, Dept Math, Ave Rovisco Pais 1, P-1049001 Lisbon, Portugal

[2] Univ Lisbon, IST, CEMAT, Ave Rovisco Pais 1, P-1049001 Lisbon, Portugal

[3] Univ Lisbon, Fac Ciencias, Grp Math Phys, Edificio C6, P-1749016 Lisbon, Portugal

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 07期

关键词：

Method of fundamental solutions; Laplace-Beltrami operator; Boundary value problem; Sphere; PARTIAL-DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.camwa.2017.12.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we propose using the method of fundamental solutions (MFS) to solve boundary value problems for the Helmholtz-Beltrami equation on a sphere. We prove density and convergence results that justify the proposed MFS approximation. Several numerical examples are considered to illustrate the good performance of the method. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：2365 / 2373

页数：9

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