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.

引用

页码：337 / 353

页数：17

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