Error estimates for a finite volume element method for elliptic PDES in nonconvex polygonal domains

被引：24

作者：

Chatzipantelidis, P ^{[1
]}

Lazarov, RD ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2005年 / 42卷 / 05期

关键词：

finite volume element method; nonconvex polygons; error estimations;

D O I：

10.1137/S0036142903427639

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider standard finite volume piecewise linear approximations for second order elliptic boundary value problems on a nonconvex polygonal domain. Based on sharp shift estimates, we derive error estimations in H-1-, L-2- and L-infinity-norms, taking into consideration the regularity of the data. Numerical experiments and counterexamples illustrate the theoretical results.

引用

页码：1932 / 1958

页数：27

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