Critical assessment of the truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods

S. N. Atluri, H. G. Kim, J. Y. Cho

Research output: Contribution to journalArticle

368 Scopus citations

Abstract

The essential features of the meshless local Petrov-Galerkin (MLPG) method and of the local boundary integral equations (LBIE) method, are critically examined from the points of view of a non-element interpolation of the field variables, and of the meshless numerical integration of the weak form to generate the stiffness matrix. As truly meshless methods, the MLPG and the LBIE methods hold a great promise in computational mechanics, because these methods do not require a mesh, either to construct the shape functions or to integrate the Petrov-Galerkin weak form.

Original languageEnglish
Pages (from-to)348-372
Number of pages25
JournalComputational Mechanics
Volume24
Issue number5
DOIs
StatePublished - Nov 1999

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