An introduction to programming the meshless Element Free Galerkin method

被引：326

作者：

Dolbow, J ^{[1
]}

Belytschko, T ^{[1
]}

机构：

[1] Northwestern Univ, Dept Civil Engn, Evanston, IL 60208 USA

来源：

ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING | 1998年 / 5卷 / 03期

关键词：

D O I：

10.1007/BF02897874

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A detailed description of the Element Free Galerkin(EFG) method and its numerical implementation is presented with the goal of familiarizing scientists and engineers with the new computational technique. In this spirit, an in-depth explanation of the essential concepts which comprise the method is given with specific emphasis on the one-dimensional formulation. First, the EFG algorithm for a one-dimensional problem in linear elastostatics is given; the results are compared to those achievable with standard finite element techniques. A step by step explanation of the MATLAB program used to solve the problem is given with specific references to the EFG method in one-dimension. Next, a simplified two-dimensional implementation to linear elastostatics is described. Results are calculated with the method and the aid of a two-dimensional MATLAB EFG program, and conclusions are drawn about the method and its capabilities. The source programs used to solve both the one-dimensional and two-dimensional problems are provided in the Appendices and are available on the web.

引用

页码：207 / 241

页数：35

共 12 条

[1]

Belytschko T, 1995, COMPUT MECH, V17, P186

[2] Smoothing and accelerated computations in the element free Galerkin method [J].

Belytschko, T ;

Krongauz, Y ;

Fleming, M ;

Organ, D ;

Liu, WKS .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 74 (1-2) :111-126

[3] ELEMENT-FREE GALERKIN METHODS [J].

BELYTSCHKO, T ;

LU, YY ;

GU, L .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256

[4] 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

[5]

Duarte CA, 1996, NUMER METH PART D E, P1

[6]

LANCASTER P, 1981, MATH COMPUT, V37, P141, DOI 10.1090/S0025-5718-1981-0616367-1

[7] REPRODUCING KERNEL PARTICLE METHODS [J].

LIU, WK ;

JUN, S ;

ZHANG, YF .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1995, 20 (8-9) :1081-1106

[8] A NEW IMPLEMENTATION OF THE ELEMENT FREE GALERKIN METHOD [J].

LU, YY ;

BELYTSCHKO, T ;

GU, L .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 113 (3-4) :397-414

[9] SMOOTHED PARTICLE HYDRODYNAMICS [J].

MONAGHAN, JJ .

ANNUAL REVIEW OF ASTRONOMY AND ASTROPHYSICS, 1992, 30 :543-574

[10]

Onate E, 1996, INT J NUMER METH ENG, V39, P3839, DOI 10.1002/(SICI)1097-0207(19961130)39:22<3839::AID-NME27>3.0.CO

← 1 2 →