Uniform convergence of finite volume element method with Crouzeix-Raviart element for non-self-adjoint and indefinite elliptic problems

被引：5
作者：
Bi, Chunjia [1 ]
Rui, Hongxing
机构：
[1] Yantai Univ, Dept Math, Yantai 264005, Shandong, Peoples R China
[2] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 200卷 / 02期
基金：
中国国家自然科学基金;
关键词：
finite volume element method; Crouzeix-Raviart element; uniform convergence; indefinite problems;
D O I：
10.1016/j.cam.2006.01.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the finite volume element method based on the Crouzeix-Raviart element and prove the existence, uniqueness and uniform convergence of the finite volume element approximations for the non-self-adjoint and indefinite elliptic problems under minimal elliptic regularity assumption. (c) 2006 Elsevier B.V. All rights reserved.
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页码：555 / 565
页数：11
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