Spherical harmonic-generalized Laguerre spectral method for exterior problems

被引：30

作者：

Zhang, Xiao-Yong ^{[1
]}

Guo, Ben-Yu

机构：

[1] Shanghai Maritime Univ, Dept Math, Shanghai 200135, Peoples R China

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

[3] Shanghai Univ E Inst, Div Computat Sciu, Shanghai 200234, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2006年 / 27卷 / 1-3期

关键词：

Laguerre spectral method; spherical harmonic approximation; exterior problems; mixed scheme; error analysis;

D O I：

10.1007/s10915-005-9056-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

In this paper, we propose the mixed spherical harmonic-generalized Laguerre spectral method for three-dimensional exterior problems. Some approximation results are established. As an example, a model problem is considered. The convergence of proposed scheme is proved. Numerical results demonstrate the efficiency of this approach.

引用

页码：523 / 537

页数：15

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