A finite volume method based on the Crouzeix-Raviart element for elliptic PDE's in two dimensions

被引：75
作者：
Chatzipantelidis, P [1 ]
机构：
[1] Univ Crete, Dept Math, GR-71409 Iraklion, Greece
[2] FORTH, Inst Appl & Computat Math, GR-71110 Iraklion, Greece
来源：
NUMERISCHE MATHEMATIK | 1999年 / 82卷 / 03期
关键词：
D O I：
10.1007/s002110050425
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce and analyse a finite volume method for the discretization of elliptic boundary value problems in R-2. The method is based on nonuniform triangulations with piecewise linear nonconforming spaces. We prove optimal order error estimates in the L-2-norm and a mesh dependent H-1-norm. Mathematics Subject Classification (1991): 65N30, 65N15.
引用
收藏
页码：409 / 432
页数：24
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