A note on the singular linear system of the generalized finite element methods

被引：3

作者：

Cho, Durkbin ^{[1
]}

机构：

[1] CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 15期

关键词：

Generalized finite element methods; Singular linear system; Multilinear operator; PARTITION; FEM;

D O I：

10.1016/j.amc.2011.01.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the kernel of the global stiffness matrix in the singular linear system of the generalized finite element methods (GFEM) which uses the classical finite element (FE) shape functions and local approximation space of harmonic polynomials. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：6691 / 6699

页数：9

共 26 条

[1]

Babuska I., 2003, Acta Numerica, V12, P1, DOI 10.1017/S0962492902000090

[2] SPECIAL FINITE-ELEMENT METHODS FOR A CLASS OF 2ND-ORDER ELLIPTIC PROBLEMS WITH ROUGH COEFFICIENTS [J].

BABUSKA, I ;

CALOZ, G ;

OSBORN, JE .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (04) :945-981

[3]

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

[4]

2-N

[5] Approximate and low regularity Dirichlet boundary conditions in the Generalized Finite Element Method [J].

Babuska, Ivo ;

Nistor, Victor ;

Tarfulea, Nicolae .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2007, 17 (12) :2115-2142

[6] GENERALIZED FINITE ELEMENT METHOD FOR NONLINEAR THREE-DIMENSIONAL ANALYSIS OF SOLIDS [J].

Baroncini Proenca, Sergio Persival ;

Ruiz Torres, Ivan Francisco .

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2008, 5 (01) :37-62

[7]

Cho D, 2007, J NUMER MATH, V15, P163, DOI [10.1515/jnma.2007.008, 10.1515/JNUM.2007.008]

[8] A C k continuous generalized finite element formulation applied to laminated Kirchhoff plate model [J].

de Barcellos, Clovis Sperb ;

Mendonca, Paulo de Tarso R. ;

Duarte, Carlos A. .

COMPUTATIONAL MECHANICS, 2009, 44 (03) :377-393

[9] An extended finite element method for modeling crack growth with frictional contact [J].

Dolbow, J ;

Moës, N ;

Belytschko, T .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 190 (51-52) :6825-6846

[10] Generalized finite element methods for three-dimensional structural mechanics problems [J].

Duarte, CA ;

Babuska, I ;

Oden, JT .

COMPUTERS & STRUCTURES, 2000, 77 (02) :215-232

← 1 2 3 →