GENERALIZED FINITE ELEMENT METHODS - MAIN IDEAS, RESULTS AND PERSPECTIVE

被引：165

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

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