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Error estimates for finite volume element methods for general second-order elliptic problems

文献类型：期刊论文

作者Wu, HJ; Li, RH
刊名NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
出版日期2003-11-01
卷号19期号:6页码:693-708
关键词finite volume element method error estimates elliptic problems
ISSN号0749-159X
DOI10.1002/num.10068
英文摘要We treat the finite volume element method (FVE) for solving general second order elliptic problems as a perturbation of the linear finite element method (FEM), and obtain the optimal H-1 error estimate, H-1 superconvergence and L-P (1 < p less than or equal to infinity) error estimates between the solution of the FVE and that of the FEM. In particular, the superconvergence result does not require any extra assumptions on the mesh except quasi-uniform. Thus the error estimates of the FVE can be derived by the standard error estimates of the FEM. Moreover we consider the effects of numerical integration and prove that the use of barycenter quadrature rule does not decrease the convergence orders of the FVE. The results of this article reveal that the FVE is in close relationship with the FEM. (C) 2003 Wiley Periodicals, Inc.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000186105400001
出版者JOHN WILEY & SONS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/19085]  
专题中国科学院数学与系统科学研究院
通讯作者Wu, HJ
作者单位1.Jilin Univ, Coll Math, Changchun 130012, Peoples R China
2.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Wu, HJ,Li, RH. Error estimates for finite volume element methods for general second-order elliptic problems[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2003,19(6):693-708.
APA Wu, HJ,&Li, RH.(2003).Error estimates for finite volume element methods for general second-order elliptic problems.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,19(6),693-708.
MLA Wu, HJ,et al."Error estimates for finite volume element methods for general second-order elliptic problems".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 19.6(2003):693-708.

入库方式： OAI收割

来源：数学与系统科学研究院

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