On the accuracy of the mortar finite volume element method with Lagrange multipliers

被引:0
|
作者
Cao, Yufei [1 ]
Rui, Honping [1 ]
机构
[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
基金
中国国家自然科学基金;
关键词
mortar element; finite volume; elliptic; error estimates; minimal regularity;
D O I
10.1016/j.amc.2006.05.142
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the mortar finite volume element (MFVE) method with Lagrange multipliers is considered for second order elliptic boundary value problems. We prove L-2 error estimates which are affected by regularities in both the exact solution and the source term. Meanwhile, the uniform convergence of the solution is obtained for the MFVE method under minimal regularity assumption. (c) 2006 Elsevier Inc. All rights reserved.
引用
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页码:1386 / 1398
页数:13
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