Approximation properties of the h-p version of the finite element method

被引:107
作者
Babuska, I [1 ]
Guo, BQ [1 ]
机构
[1] UNIV MANITOBA,DEPT APPL MATH,WINNIPEG,MB R3T 2N2,CANADA
关键词
D O I
10.1016/0045-7825(95)00946-9
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The paper surveys the approximation and convergence properties of the h-p version of the finite element method, the basic theoretical results together with the main ideas of the proofs. Numerical examples are given.
引用
收藏
页码:319 / 346
页数:28
相关论文
共 18 条
[1]   THE P AND H-P VERSIONS OF THE FINITE-ELEMENT METHOD, BASIC PRINCIPLES AND PROPERTIES [J].
BABUSKA, I ;
SURI, M .
SIAM REVIEW, 1994, 36 (04) :578-632
[2]   THE H-P VERSION OF THE FINITE-ELEMENT METHOD FOR DOMAINS WITH CURVED BOUNDARIES [J].
BABUSKA, I ;
GUO, BQ .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1988, 25 (04) :837-861
[3]   PERFORMANCE OF THE H-P VERSION OF THE FINITE-ELEMENT METHOD WITH VARIOUS ELEMENTS [J].
BABUSKA, I ;
ELMAN, HC .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1993, 36 (15) :2503-2523
[4]   REGULARITY OF THE SOLUTION OF ELLIPTIC PROBLEMS WITH PIECEWISE ANALYTIC DATA .1. BOUNDARY-VALUE PROBLEMS FOR LINEAR ELLIPTIC EQUATION OF 2ND ORDER [J].
BABUSKA, I ;
GUO, BQ .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1988, 19 (01) :172-203
[5]   PARALLEL IMPLEMENTATION OF THE HP-VERSION OF THE FINITE-ELEMENT METHOD ON A SHARED-MEMORY ARCHITECTURE [J].
BABUSKA, I ;
ELMAN, HC ;
MARKLEY, K .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1992, 13 (06) :1433-1459
[6]   REGULARITY AND NUMERICAL-SOLUTION OF EIGENVALUE PROBLEMS WITH PIECEWISE ANALYTIC DATA [J].
BABUSKA, I ;
GUO, BQ ;
OSBORN, JE .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1989, 26 (06) :1534-1560
[7]   THE H-P VERSION OF THE FINITE-ELEMENT METHOD FOR PROBLEMS WITH NONHOMOGENEOUS ESSENTIAL BOUNDARY-CONDITION [J].
BABUSKA, I ;
GUO, BQ .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1989, 74 (01) :1-28
[8]  
BABUSKA I, 1992, ADV ENG SOFTWARE, P159
[9]  
BABUSKA I, 1989, SIAM J MATH ANAL, V20, P765
[10]  
BABUSKA I, 1987, P 6 IMACS INT S COMP, P241