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
[21]  
GASTALDI L, 1987, IMA PREPRINT SERIES, V339
[22]  
Johnson C., 1981, RAIRO Analyse Numerique, V15, P41
[23]  
KORNEEV V, 1983, METODY VYCHISL, V13, P3
[24]  
KREISS HO, 1986, MATH COMPUT, V47, P537, DOI 10.1090/S0025-5718-1986-0856701-5
[25]  
NAKATA M, 1985, MATH FINITE ELEMENTS
[26]  
Raviart P.-A., 1975, LECT NOTES MATH, V606, P292, DOI DOI 10.1007/BFB0064470
[27]  
Samarskii A.A., 1963, ZH VYCH MAT MAT FIZ, V3, P431
[28]  
SCHOLZ R, 1977, RAIRO-ANAL NUMER-NUM, V11, P209
[29]   HIGH-ORDER LOCAL APPROXIMATIONS TO DERIVATIVES IN FINITE-ELEMENT METHOD [J].
THOMEE, V .
MATHEMATICS OF COMPUTATION, 1977, 31 (139) :652-660
[30]  
Tikhonov A. N., 1962, ZH VYCH MAT MAT FIZ, V2, P812