Mixed spectral method for three-dimensional exterior problems using spherical harmonic and generalized Laguerre functions

被引：19

作者：

Wang, Zhong-Qing ^{[1
,2
]}

Guo, Ben-Yu ^{[1
,2
]}

Zhang, Wei ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Shanghai Univ E Inst, Div Computat Sci, Shanghai 200041, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 217卷 / 01期

基金：

美国国家科学基金会;

关键词：

mixed spherical harmonic-generalized Laguerre approximation; spectral method; three-dimensional exterior problems;

D O I：

10.1016/j.cam.2007.07.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop the mixed spectral method for three-dimensional exterior problems, using spherical harmonic and generalized Laguerre functions. Some basic approximation results are established. The mixed spectral schemes are proposed for two model problems. Their convergences are proved. Numerical results demonstrate the efficiency of this new approach. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：277 / 298

页数：22