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.

引用

页码：555 / 565

页数：11

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