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

被引：4
作者：
Rui, Hongxing [1 ]
Bi, Chunjia [2 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[2] Yantai Univ, Dept Math, Yantai 264005, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2008年 / 3卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Finite volume element (FVE) method; upwind method; Crouzeix-Raviart element; optimal order convergence; uniform convergence; convection-diffusion problem;
D O I：
10.1007/s11464-008-0034-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 H-1-norm error estimate. We also give the uniform convergence under minimal elliptic regularity assumption.
引用
收藏
页码：563 / 579
页数：17
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