Influence of Method for Imposing Essential Boundary Condition on Meshless Galerkin/Petrov–Galerkin Approaches

Author

Ikuno, Soichiro ; Takakura, Katsuyuki ; Kamitani, Atsushi

Author_Institution

Sch. of Comput. Sci., Tokyo Univ. of Technol.

Volume

43

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

1501

Lastpage

1504

Abstract

Modified meshless methods are proposed by choosing trial and test functions from a variety of functional spaces. The accuracy of the proposed methods is evaluated for two ways of imposing essential boundary conditions. The results of computations show that the types of the test functions do not influence on the accuracy. In contrast, the weight functions for the moving least square approximation should not be chosen as trial functions to ensure the accuracy. Furthermore, the influence of choosing the ways for imposing essential boundary conditions on the accuracy was not detected

Keywords

Galerkin method; computational electromagnetics; least squares approximations; functional spaces; least square approximation; meshless Petrov-Galerkin approach; meshless methods; weight functions; Boundary conditions; Finite element methods; Lagrangian functions; Least squares approximation; Moment methods; Partial differential equations; Scattering; Shape; Space technology; Testing; Finite-element methods (FEMs); linear systems; partial differential equations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2007.892477

Filename

4137744