Generalized finite element methods for three-dimensional structural mechanics problems

被引:488
作者
Duarte, CA
Babuska, I
Oden, JT
机构
[1] COMCO Inc, Austin, TX 78757 USA
[2] Univ Texas, TICAM, Austin, TX 78712 USA
关键词
D O I
10.1016/S0045-7949(99)00211-4
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The present paper summarizes the generalized finite element method formulation and demonstrates some of its advantages over traditional finite element methods to solve complex, three-dimensional (3D) structural mechanics problems. The structure of the stiffness matrix in the GFEM is compared to the corresponding FEM matrix. The performance of the GFEM and FEM in the solution of a 3D elasticity problem is also compared. The construction of p-orthotropic approximations on tetrahedral meshes and the use of a-priori knowledge about the solution of elasticity equations in three-dimensions are also presented. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:215 / 232
页数:18
相关论文
共 34 条
[11]   Meshless methods: An overview and recent developments [J].
Belytschko, T ;
Krongauz, Y ;
Organ, D ;
Fleming, M ;
Krysl, P .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) :3-47
[12]  
*BOEING COMP SERV, BOEING EXT MATH SUBP
[13]  
*COMP MECH CO, PHLEXSOLIDS
[14]   An h-p adaptive method using clouds [J].
Duarte, CA ;
Oden, JT .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) :237-262
[15]  
Duarte CA, 1996, The hp Cloud Method
[16]  
Duarte CA, 1996, NUMER METH PART D E, V12, P673, DOI DOI 10.1002/(SICI)1098-2426(199611)12:6<673::AID-NUM3>3.0.CO
[17]  
2-P
[18]  
DUARTE CAM, 1995, 9506 TICAM U TEX AUS
[19]   THE MULTIFRONTAL SOLUTION OF INDEFINITE SPARSE SYMMETRIC LINEAR-EQUATIONS [J].
DUFF, IS ;
REID, JK .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1983, 9 (03) :302-325
[20]  
GRISVARD P, 1982, RES NOTES APPL MATH