Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods
Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods
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DOI：
10.4208/jcm.1108-m3677
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发表时间：
2012-07
影响因子：
0.9
通讯作者：
C. Carstensen;J. Gedicke;Donsub Rim
中科院分区：
文献类型：
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作者：
C. Carstensen;J. Gedicke;Donsub Rim
本文的初等分析给出了Poisson模型问题中最低阶Courant、Crouzeix-Raviart和Raviart-Thomas混合有限元方法的先验误差估计常数的显式表达式。这三个常量及其对三角剖分中某个最大角度的依赖关系实际上都是可比较的，并允许精确的先验误差控制。
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.