Convergence analysis of an upwind finite volume element method with Crouzeix-Raviart element for non-selfadjoint and indefinite problems

被引：0
作者：
Hongxing Rui
Chunjia Bi
机构：
[1] Shandong University,School of Mathematics
[2] Yantai University,Department of Mathematics
来源：
Frontiers of Mathematics in China | 2008年 / 3卷
关键词：
Finite volume element (FVE) method; upwind method; Crouzeix-Raviart element; optimal order convergence; uniform convergence; convection-diffusion problem; 65N12; 65N15; 65N30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we construct an upwind finite volume element scheme based on the Crouzeix-Raviart nonconforming element for non-selfadjoint elliptic problems. These problems often appear in dealing with flow in porous media. We establish the optimal order H1-norm error estimate. We also give the uniform convergence under minimal elliptic regularity assumption
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页码：563 / 579
页数：16
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