Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell's equations

被引:12
作者
Shi, Dongyang [1 ]
Pei, Lifang [2 ]
机构
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
[2] Luoyang Inst Sci & Technol, Dept Math & Phys, Luoyang 471003, Peoples R China
关键词
Maxwell's equations; Low order nonconforming finite elements; Error estimates; Anisotropic meshes; QUASI-WILSON ELEMENT; SUPERCONVERGENCE;
D O I
10.1016/j.amc.2009.01.027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Two Crouzeix-Raviart type nonconforming elements are used in a finite element scheme as well in a mixed finite element scheme for time-dependent Maxwell's equations in three dimensions. The error estimates are obtained under anisotropic meshes, which are the same as those for conforming elements under regular meshes. (C) 2009 Published by Elsevier Inc.
引用
收藏
页码:1 / 9
页数:9
相关论文
共 22 条
[1]  
APEL T, 1999, ANISOTROPIC FINITE E
[2]   Superconvergence of mixed finite element semi-discretizations of two time-dependent problems [J].
Brandts J.H. .
Applications of Mathematics, 1999, 44 (1) :43-53
[3]   Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes [J].
Chen, SC ;
Shi, DY ;
Zhao, YC .
IMA JOURNAL OF NUMERICAL ANALYSIS, 2004, 24 (01) :77-95
[4]  
Chen SC, 2004, J COMPUT MATH, V22, P178
[5]  
Ciarlet Philippe G., 2002, Finite Element Method for Elliptic Problems
[6]   A nonconforming mixed finite element method for Maxwell's equations [J].
Douglas, J ;
Santos, JE ;
Sheen, D .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2000, 10 (04) :593-613
[7]  
Lin JF, 2003, J COMPUT MATH, V21, P637
[8]   Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation [J].
Lin, Q ;
Tobiska, L ;
Zhou, A .
IMA JOURNAL OF NUMERICAL ANALYSIS, 2005, 25 (01) :160-181
[9]  
Lin Q, 2000, MATH COMPUT, V69, P159, DOI 10.1090/S0025-5718-99-01131-X
[10]  
Lin Q., 1996, J ENG MATH, V13, P1