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Titolo:
Imposition of essential boundary conditions by displacement constraint equations in meshless methods
Autore:
Zhang, X; Liu, X; Lu, MW; Chen, Y;
Indirizzi:
Tsing Hua Univ, Dept Engn Mech, Beijing 100084, Peoples R China Tsing Hua Univ Beijing Peoples R China 100084 ng 100084, Peoples R China
Titolo Testata:
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
fascicolo: 3, volume: 17, anno: 2001,
pagine: 165 - 178
SICI:
1069-8299(200103)17:3<165:IOEBCB>2.0.ZU;2-W
Fonte:
ISI
Lingua:
ENG
Soggetto:
FREE GALERKIN METHOD; DYNAMIC FRACTURE; ELEMENT; APPROXIMATIONS; IMPLEMENTATION; MODEL;
Keywords:
meshless method; essential boundary condition; element-free Galerkin method;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
26
Recensione:
Indirizzi per estratti:
Indirizzo: Zhang, X Tsing Hua Univ, Dept Engn Mech, Beijing 100084, Peoples R China Tsing Hua Univ Beijing Peoples R China 100084 , Peoples R China
Citazione:
X. Zhang et al., "Imposition of essential boundary conditions by displacement constraint equations in meshless methods", COMMUN NUM, 17(3), 2001, pp. 165-178

Abstract

One of major difficulties in the implementation of meshless methods is theimposition of essential boundary conditions as the approximations do not pass through the nodal parameter values. As a consequence, the imposition ofessential boundary conditions in meshless methods is quite awkward. In this paper, a displacement constraint equations method (DCEM) is proposed for the imposition of the essential boundary conditions, in which the essentialboundary conditions is treated as a constraint to the discrete equations obtained from the Galerkin methods. Instead of using the methods of Lagrangemultipliers and the penalty method, a procedure is proposed in which unknowns are partitioned into two subvectors, one consisting of unknowns on boundary Gamma (u), and one consisting of the remaining unknowns. A simplified displacement constraint equations method (SDCEM) is also proposed, which results in a efficient scheme with sufficient accuracy for the imposition of the essential boundary conditions in meshless methods. The present method results in a symmetric, positive and banded stiffness matrix. Numerical results show that the accuracy of the present method is higher than that of themodified variational principles. The present method is a exact method for imposing essential boundary conditions in meshless methods, and can be usedin Galerkin-based meshless method, such as element-free Galerkin methods, reproducing kernel particle method, meshless local Petrov-Galerkin method. Copyright (C) 2001 John Wiley & Sons, Ltd.

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Documento generato il 06/04/20 alle ore 21:51:56