Imposing boundary conditions in the meshless local Petrov-Galerkin method

Author

Fonseca, Alexandre R. ; Viana, S.A. ; Silva, Elson J. ; Mesquita, R.C.

Author_Institution

Univ. Fed. de Minas Gerais, Belo Horizonte

Volume

2

Issue

6

fYear

2008

fDate

11/1/2008 12:00:00 AM

Firstpage

387

Lastpage

394

Abstract

A particular meshless method, named meshless local Petrov-Galerkin is investigated. To treat the essential boundary condition problem, an alternative approach is proposed. The basic idea is to merge the best features of two different methods of shape function generation: the moving least squares (MLS) and the radial basis functions with polynomial terms (RBFp). Whereas the MLS has lower computational cost, the RBFp imposes in a direct manner the essential boundary conditions. Thus, dividing the domain into different regions a hybrid method has been developed. Results show that it leads to a good trade-off between computational time and precision.

Keywords

Galerkin method; least squares approximations; partial differential equations; polynomials; Dirichlet boundary condition problem; computational cost; computational time; hybrid method; meshless local Petrov-Galerkin method; moving least squares methods; partial differential equations; polynomial terms; radial basis functions; shape function generation;

fLanguage

English

Journal_Title

Science, Measurement & Technology, IET

Publisher

iet

ISSN

1751-8822

Type

jour

DOI

10.1049/iet-smt:20080082

Filename

4659177