High order finite volume methods for singular perturbation problems

被引：14

作者：

Chen ZhongYing ^{[1
]}

He ChongNan ^{[1
,2
]}

Wu Bin ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Sci Comp & Comp Applicat, Guangzhou 510275, Guangdong, Peoples R China

[2] Guangxi Univ Nationalities, Coll Math & Comp Sci, Nanning 530006, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2008年 / 51卷 / 08期

基金：

中国国家自然科学基金;

关键词：

finite volume methods; optimal meshes; singular perturbation problems;

D O I：

10.1007/s11425-008-0120-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish a high order finite volume method for the fourth order singular perturbation problems. In conjunction with the optimal meshes, the numerical solutions resulting from the method have optimal convergence order. Numerical experiments are presented to verify our theoretical estimates.

引用

页码：1391 / 1400

页数：10

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