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Meshless local Petrov–Galerkin (MLPG) method in combination with finite element and boundary element approaches

Liu, Gui-Rong & Gu, YuanTong (2000) Meshless local Petrov–Galerkin (MLPG) method in combination with finite element and boundary element approaches. Computational Mechanics, 26(6), pp. 536-546.

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Abstract

The Meshless Local Petrov-Galerkin (MLPG) method is an effective truly meshless method for solving partial differential equations using Moving Least Squares (MLS) interpolants. It is, however, computationally expensive for some problems. A coupled MLPG/Finite Element (FE) method and a coupled MLPG/Boundary Element (BE) method are proposed in this paper to improve the solution efficiency. A procedure is developed for the coupled MLPG/FE method and the coupled MLPG/BE method so that the continuity and compatibility are preserved on the interface of the two domains where the MLPG and FE or BE methods are applied. The validity and efficiency of the MLPG/FE and MLPG/BE methods are demonstrated through a number of examples. KEY WORDS: Meshless Method; Meshless Local-Galerkin Method; Finite element Method; Boundary Element Method; Stress Analysis

Impact and interest:

60 citations in Scopus
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51 citations in Web of Science®

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ID Code: 13907
Item Type: Journal Article
Keywords: Meshless Method, Meshless Local, Galerkin Method, Finite element Meth
DOI: 10.1007/s004660000203
ISSN: 1432-0924
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Mechanical Engineering not elsewhere classified (091399)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > CIVIL ENGINEERING (090500) > Structural Engineering (090506)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Copyright Owner: Copyright 2000 Springer
Copyright Statement: The original publication is available at SpringerLink http://www.springerlink.com
Deposited On: 30 Jun 2008
Last Modified: 11 Aug 2011 01:39

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