Spherical Harmonic–Generalized Laguerre Spectral Method for Exterior Problems

被引：5

作者：

Zhang Xiao-yong

Guo Ben-yu

机构：

[1] Shanghai Maritime University,Department of Mathematics

[2] Department of Mathematics of Shanghai Normal University and Division of Computational Science of E-institute of Shanghai Universities,undefined

来源：

Journal of Scientific Computing | 2006年 / 27卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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：14

共 15 条

[1]

Guo B.-y.(1995)A spectral method for the vorticity equation on the surface Math. Comp. 64 1067-1079

[2]

Guo B.-y.(2000)Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval Numer. Math. 86 635-654

[3]

Shen J.(2005)Generalized Laguerre approximation and its applications to exterior problems J. Comp. Math. 23 113-130

[4]

Guo B.-y.(2003)Mixed Laguerre-Legendre pseudospectral method for incompressible flow in an infinite strip Math. Comp. 73 95-125

[5]

Shen J.(2005)A new generalized Laguerre spectral approximation and its applications J. Comp. Appl. Math. 181 342-363

[6]

Xu C.-l.(1985)Reappraisal of Laguerre type spectral methods La Recherche Aerospatiale. 6 13-35

[7]

Guo B.-y.(2000)Stable and efficient spectral methods in unbounded domains using Laguerre functions SIAM J. Numer. Anal. 38 1113-1133

[8]

Xu C.-l.(1993)The Hermite spectral method for the Gaussian type functions SIAM J. Sci. Comp. 14 594-606

[9]

Guo B.-y.(undefined)undefined undefined undefined undefined-undefined

[10]

Zhang X.-y.(undefined)undefined undefined undefined undefined-undefined

← 1 2 →