Composite Laguerre-Legendre Spectral Method for Fourth-Order Exterior Problems

被引：23

作者：

Guo, Ben-Yu ^{[1
,2
,3
,5
]}

Wang, Tian-Jun ^{[4
]}

机构：

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

[2] Sci Comp Key Lab Shanghai Univ, Shanghai, Peoples R China

[3] Shanghai Univ, Computat Sci E Inst, Shanghai, Peoples R China

[4] Henan Univ Sci & Technol, Dept Math & Phys, Luoyang 471003, Peoples R China

[5] Shanghai Univ, Computat Div, Shanghai, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2010年 / 44卷 / 03期

关键词：

Composite Laguerre-Legendre approximation; Spectral method for fourth order exterior problems; PARTIAL-DIFFERENTIAL-EQUATIONS; UNBOUNDED-DOMAINS; GALERKIN METHOD; APPROXIMATION; 2ND-ORDER;

D O I：

10.1007/s10915-010-9367-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate composite Laguerre-Legendre spectral method for fourth-order exterior problems. Some results on composite Laguerre-Legendre approximation are established, which is a set of piecewise mixed approximations coupled with domain decomposition. These results play an important role in spectral method for fourth-order exterior problems with rectangle obstacle. As examples of applications, composite spectral schemes are provided for two model problems, with convergence analysis. Efficient algorithms are implemented. Numerical results demonstrate their high accuracy, and confirm theoretical analysis well.

引用

页码：255 / 285

页数：31

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