Error analysis of Crouzeix-Raviart and Raviart-Thomas finite element methods

被引：3
|
作者：
Kobayashi, Kenta [1 ]
Tsuchiya, Takuya [2 ]
机构：
[1] Hitotsubashi Univ, Grad Sch Commerce & Management, Kunitachi, Tokyo, Japan
[2] Ehime Univ, Grad Sch Sci & Engn, Matsuyama, Ehime, Japan
来源：
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2018年 / 35卷 / 03期
关键词：
Crouzeix-Raviart; Raviart-Thomas; Finite element method; Error estimation; Triangulation; Circumradius;
D O I：
10.1007/s13160-018-0325-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss the error analysis of the lowest degree Crouzeix-Raviart and Raviart-Thomas finite element methods applied to a two-dimensional Poisson equation. To obtain error estimations, we use the techniques developed by Babuka-Aziz and the authors. We present error estimates in terms of the circumradius and diameter of triangles in which the constants are independent of the geometric properties of the triangulations. Numerical experiments confirm the results obtained.
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页码：1191 / 1211
页数：21
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