SUPERCONVERGENCE AND EXTRAPOLATION FOR MIXED FINITE-ELEMENT METHODS ON RECTANGULAR DOMAINS

被引：1
作者：
WANG, JP
机构：
来源：
MATHEMATICS OF COMPUTATION | 1991年 / 56卷 / 194期
关键词：
2ND-ORDER ELLIPTIC EQUATION; FINITE ELEMENT METHOD; ASYMPTOTIC EXPANSION; SUPERCONVERGENCE; RICHARDSON EXTRAPOLATION;
D O I：
10.2307/2008392
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Asymptotic expansions for the RT (Raviart-Thomas) mixed finite element approximation by the lowest-order rectangular element associated with a second-order elliptic equation on a rectangular domain are derived. Super-convergence for the vector field along the Gauss lines is obtained as a result of the expansion. A procedure of postprocessed extrapolation is present for the scalar field, as well as procedures of pure Richardson extrapolation for both the vector and the scalar fields.
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页码：477 / 503
页数：27
相关论文
共 22 条
[1]  
[Anonymous], 1977, MATH ASPECTS FINITE
[2]   FINITE-ELEMENT METHOD WITH LAGRANGIAN MULTIPLIERS [J].
BABUSKA, I .
NUMERISCHE MATHEMATIK, 1973, 20 (03) :179-192
[3]   ASYMPTOTIC ERROR EXPANSION AND RICHARDSON EXTRAPOLATION FOR LINEAR FINITE-ELEMENTS [J].
BLUM, H ;
LIN, Q ;
RANNACHER, R .
NUMERISCHE MATHEMATIK, 1986, 49 (01) :11-37
[4]  
BRAMBLE JH, 881 CORN U MATH SCI
[5]   2 FAMILIES OF MIXED FINITE-ELEMENTS FOR 2ND ORDER ELLIPTIC PROBLEMS [J].
BREZZI, F ;
DOUGLAS, J ;
MARINI, LD .
NUMERISCHE MATHEMATIK, 1985, 47 (02) :217-235
[6]  
BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129
[7]  
BREZZI F, 1987, RAIRO-MATH MODEL NUM, V21, P581
[8]  
DOUGLAS J, 1974, REV FR AUTOMAT INFOR, V8, P61
[9]  
DOUGLAS J, 1985, MATH COMPUT, V44, P39, DOI 10.1090/S0025-5718-1985-0771029-9
[10]  
Douglas J. Jr., 1989, Calcolo, V26, P121, DOI 10.1007/BF02575724
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