Performance Improvement of Extended Boundary Node Method

Author

Saitoh, Ayumu ; Itoh, Taku ; Matsui, Nobuyuki ; Kamitani, Atsushi

Author_Institution

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

Volume

51

Issue

3

fYear

2015

fDate

Mar-15

Firstpage

1

Lastpage

4

Abstract

The extended boundary node method (X-BNM) with the radial point interpolation method (RPIM) shape function is proposed and its performance is numerically investigated by comparing with the dual reciprocity boundary element method (DRM). The results of computations show that the accuracy of the X-BNM is almost equal to that of the DRM. In addition, the speed of the X-BNM with the RPIM shape function is almost equal to that of the DRM. Therefore, not only the DRM but also the X-BNM with the RPIM shape function is a powerful method for solving the Poisson problem.

Keywords

Poisson equation; boundary-value problems; interpolation; Poisson problem; RPIM shape function; X-BNM method; dual reciprocity boundary element method; extended boundary node method; performance improvement; radial point interpolation method; Accuracy; Boundary element methods; Integral equations; Interpolation; Mathematical model; Plasmas; Shape; Boundary value problems; Green???s function methods; integral equations; least squares approximation;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2014.2347336

Filename

7093541