SUPERCONVERGENCE OF THE VELOCITY ALONG THE GAUSS LINES IN MIXED FINITE-ELEMENT METHODS

被引:117
作者
EWING, RE
LAZAROV, RD
WANG, J
机构
[1] UNIV WYOMING, DEPT CHEM ENGN, LARAMIE, WY 82071 USA
[2] UNIV WYOMING, DEPT PETR ENGN, LARAMIE, WY 82071 USA
[3] BULGARIAN ACAD SCI, INST MATH, BU-1113 SOFIA, BULGARIA
关键词
MIXED FINITE ELEMENT METHOD; SUPERCONVERGENCE;
D O I
10.1137/0728054
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Superconvergence for the velocity along the Gauss lines is derived for the mixed finite element method for the second-order elliptic equation in rectangular domains. These estimates are based on the rectangular finite elements of Raviart-Thomas type.
引用
收藏
页码:1015 / 1029
页数:15
相关论文
共 34 条
[11]  
DOUGLAS J, 1983, RAIRO-ANAL NUMER-NUM, V17, P17
[12]  
DOUGLAS J, 1985, MATH COMPUT, V44, P39, DOI 10.1090/S0025-5718-1985-0771029-9
[13]  
Douglas J., 1985, RAIRO MODEL MATH ANA, V19, P297
[14]  
Douglas J. Jr., 1989, Calcolo, V26, P121, DOI 10.1007/BF02575724
[15]  
DurSSn R., 1988, RAIRO ANAL NUMER, V22, P371
[16]  
EWING RE, 1983, NUMERICAL METHODS SC, P163
[17]  
EWING RE, 1983, P TICOM C AUSTIN
[18]  
FALK RS, 1980, RAIRO-ANAL NUMER-NUM, V14, P249
[19]  
FORTIN M, 1977, RAIRO-ANAL NUMER-NUM, V11, P341
[20]   OPTIMAL L-INFINITY-ERROR ESTIMATES FOR NONCONFORMING AND MIXED FINITE-ELEMENT METHODS OF LOWEST ORDER [J].
GASTALDI, L ;
NOCHETTO, R .
NUMERISCHE MATHEMATIK, 1987, 50 (05) :587-611