Acceleration Technique for Extended Boundary-Node Method

Author

Saitoh, A. ; Itoh, Takayuki ; Matsui, Nobuyuki ; Kamitani, Atsushi

Author_Institution

Grad. Sch. of Eng., Univ. of Hyogo, Himeji, Japan

Volume

50

Issue

2

fYear

2014

fDate

Feb. 2014

Firstpage

465

Lastpage

468

Abstract

The acceleration technique for the extended boundary-node method (X-BNM) has been proposed and its performance has been numerically investigated. The results of computations show the X-BNM with the radial basis function (RBF) approximation is always faster than that with the moving least-squares (MLS) approximation. Moreover, the accuracy of the X-BNM with the RBF approximation is almost equivalent to that with the MLS approximation. From these results, it is found that the RBF approximation is more useful than the MLS approximation as the acceleration technique of the X-BNM.

Keywords

approximation theory; boundary-value problems; least squares approximations; partial differential equations; radial basis function networks; acceleration technique; boundary-value problem; extended boundary-node method; moving least-squares approximation; partial differential equations; radial basis function approximation; Acceleration; Accuracy; Educational institutions; Interpolation; Shape; Vectors; Boundary-value problems; Green´s function methods; integral equations; least-square approximation; partial differential equations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2013.2285587

Filename

6749129