EXPLICIT ERROR ESTIMATES FOR COURANT, CROUZEIX-RAVIART AND RAVIART-THOMAS FINITE ELEMENT METHODS

被引：42
|
作者：
Carstensen, Carsten [1 ,2 ]
Gedicke, Joscha [1 ]
Rim, Donsub [2 ,3 ]
机构：
[1] Humboldt Univ, Inst Matemat, D-10099 Berlin, Germany
[2] Yonsei Univ, Dept Computat Sci & Engn, Seoul 120749, South Korea
[3] Yonsei Univ, Yonsei Sch Business, Seoul 120749, South Korea
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2012年 / 30卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
Error estimates; Conforming; Nonconforming; Mixed; Finite element method; ANGLE CONDITION; INTERPOLATION; BOUNDS;
D O I：
10.4208/jcm.1108-m3677
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The elementary analysis of this paper presents explicit expressions of the constants in the a priori error estimates for the lowest-order Courant, Crouzeix-Raviart nonconforming and Raviart-Thomas mixed finite element methods in the Poisson model problem. The three constants and their dependences on some maximal angle in the triangulation are indeed all comparable and allow accurate a priori error control.
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页码：337 / 353
页数：17
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