THE OPTIMAL CONVERGENCE RATE OF THE P-VERSION OF THE FINITE-ELEMENT METHOD

被引:230
作者
BABUSKA, I [1 ]
SURI, M [1 ]
机构
[1] UNIV MARYLAND,CATONSVILLE,MD 21228
关键词
D O I
10.1137/0724049
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:750 / 776
页数:27
相关论文
共 16 条
[1]   DIRECT AND INVERSE ERROR-ESTIMATES FOR FINITE-ELEMENTS WITH MESH REFINEMENTS [J].
BABUSKA, I ;
KELLOGG, RB ;
PITKARANTA, J .
NUMERISCHE MATHEMATIK, 1979, 33 (04) :447-471
[2]   THE P-VERSION OF THE FINITE-ELEMENT METHOD [J].
BABUSKA, I ;
SZABO, BA ;
KATZ, IN .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1981, 18 (03) :515-545
[3]  
BABUSKA I, 1981, NUMER MATH, V37, P252
[4]  
BABUSKA I, UNPUB LECTURE NOTES
[5]  
BABUSKA I, IN PRESS THEORY PERF
[6]  
BERGH I, 1976, INTERPOLATION SPACES
[7]   THE APPROXIMATION-THEORY FOR THE P-VERSION OF THE FINITE-ELEMENT METHOD [J].
DORR, MR .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1984, 21 (06) :1180-1207
[9]  
Grisvard P., 1985, ELLIPTIC PROBLEMS NO
[10]   THE H-VERSION, P-VERSION AND H-P-VERSION OF THE FINITE-ELEMENT METHOD IN 1-DIMENSION .1. THE ERROR ANALYSIS OF THE P-VERSION [J].
GUI, W ;
BABUSKA, I .
NUMERISCHE MATHEMATIK, 1986, 49 (06) :577-612