Error indicators for the mortar finite element discretization of a parabolic problem

被引:6
作者
Bergam, A
Bernardi, C
Hecht, F
Mghazli, Z
机构
[1] Univ Ibn Tofail, Fac Sci, Dept Math & Informat, Lab SIANO, Kenitra, Morocco
[2] CNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France
[3] Univ Paris 06, F-75252 Paris 05, France
关键词
finite elements; mortar method; parabolic equation;
D O I
10.1023/B:NUMA.0000005362.95126.4c
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study residual spatial error indicators for a parabolic equation already discretized with respect to the time variable and approximated with the mortar finite element method. A posteriori error estimates are given at each step of time and are based on a local residual, the jumps of the normal derivative through the interfaces between elements and the jumps of the discrete solution through the mortars.
引用
收藏
页码:187 / 201
页数:15
相关论文
共 22 条
[1]   ANALYSIS OF THE EFFICIENCY OF AN A POSTERIORI ERROR ESTIMATOR FOR LINEAR TRIANGULAR FINITE-ELEMENTS [J].
BABUSKA, I ;
DURAN, R ;
RODRIGUEZ, R .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (04) :947-964
[2]  
BANK RE, 1985, MATH COMPUT, V44, P283, DOI 10.1090/S0025-5718-1985-0777265-X
[3]  
Belgacem FB, 2000, NUMER MATH, V85, P257, DOI 10.1007/s002110000136
[4]  
Ben Belgacem F, 1999, NUMER MATH, V84, P173, DOI 10.1007/s002119900100
[5]  
BERGAM A, UNPUB POSTERIORI ANA
[6]  
Bernardi C, 2002, MATH COMPUT, V71, P1371, DOI 10.1090/S0025-5718-01-01401-6
[7]  
BERNARDI C, 1993, NATO ADV SCI INST SE, V384, P269
[8]  
Bernardi C, 2000, REV EUROPEENNE ELEME, V9, P451
[9]  
Bernardi C., 1994, COLL FRANCE SEMINAR, VXI, P13
[10]  
Bernardi C., 2000, REV EUROPEENNE ELEM, V9, P425