GENERALIZED FINITE ELEMENT METHODS - MAIN IDEAS, RESULTS AND PERSPECTIVE

被引：164

作者：

Babuska, Ivo ^{[1
]}

Banerjee, Uday ^{[2
]}

Osborn, John E. ^{[3
]}

机构：

[1] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA

[2] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

[3] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2004年 / 1卷 / 01期

关键词：

Meshless methods; approximation; finite element methods; Poincare constants;

D O I：

10.1142/S0219876204000083

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is an overview of the main ideas of the Generalized Finite Element Method (GFEM). We present the basic results, experiences with, and potentials of this method. GFEM is a generalization of the classical Finite Element Method - in its h, p, and h-p versions - as well as of the various forms of meshless methods used in engineering.

引用

页码：67 / 103

页数：37

共 45 条

[1] [Anonymous], 1971, NUMERICAL PERFORMANC
[2] [Anonymous], 1988, LECT NOTES MATH, DOI DOI 10.1007/BFB0086682
[3] Atluri S.N., 2002, MESHLESS LOCAL PETRO
[4] Damage analysis of fiber composites Part I: Statistical analysis on fiber scale
Babuska, I
Andersson, B
Smith, PJ
Levin, K
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 172 (1-4) : 27 - 77
[5] Babuska I., 2003, Acta Numerica, V12, P1, DOI 10.1017/S0962492902000090
[6] Babuska I, 2000, MATH COMPUT, V69, P443, DOI 10.1090/S0025-5718-99-01085-6
[7] On principles for the selection of shape functions for the Generalized Finite Element Method
Babuska, I
Banerjee, U
Osborn, JE
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (49-50) : 5595 - 5629
[8] SPECIAL FINITE-ELEMENT METHODS FOR A CLASS OF 2ND-ORDER ELLIPTIC PROBLEMS WITH ROUGH COEFFICIENTS
BABUSKA, I
CALOZ, G
OSBORN, JE
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (04) : 945 - 981
[9] Babuska I, 1997, INT J NUMER METH ENG, V40, P727, DOI 10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO
[10] 2-N

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