A posteriori error estimate for the mixed finite element method

被引:210
作者
Carstensen, C
机构
关键词
mixed finite element methods; a posteriori error estimates; adaptive algorithm;
D O I
10.1090/S0025-5718-97-00837-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A computable error bound for mixed finite element methods is established in the model case of the Poisson-problem to control the error in the H(div,Omega) xL(2)(Omega)-norm. The reliable and efficient a posteriori error estimate applies, e.g., to Raviart-Thomas, Brezzi-Douglas-Marini, and Brezzi-Douglas-Fortin-Marini elements.
引用
收藏
页码:465 / 476
页数:12
相关论文
共 12 条
[1]  
[Anonymous], [No title captured]
[2]  
[Anonymous], RAIRO RAN R
[3]  
BRAESS D, 1994, 175 RUHR U FM
[4]  
Brezzi F., 2012, MIXED HYBRID FINITE, V15
[5]  
Ciarlet PG., 1978, The Finite Element Method for Elliptic Problems
[6]  
Eriksson K., 1995, Acta Numerica, V4, P105
[7]  
Grisvard P., 1985, ELLIPTIC PROBLEMS NO, V24
[8]  
Hormander, 1963, GRUNDL MATH WISS, V116
[9]  
Lions J.-L., 1972, NONHOMOGENEOUS BOUND, V181
[10]  
Nicaise S., 1993, POLYGONAL INTERFACE