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

• 来源期刊: 计算数学（英文版）
• 关键词: Error estimates Conforming Nonconforming Mixed Finite element method
• 年，卷（期）: 2012,（4）
• 页码范围: 337-353
• 页数: 17页
• 语种: 英文
• DOI: 10.4208/jcm.1108-m3677

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.