Title :
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.
fDate :
4/1/2007 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.892477