DocumentCode
1502209
Title
Development of 2-D Meshless Approaches Without Using Integration Cells
Author
Saitoh, Ayumu ; Matsui, Nobuyuki ; Itoh, Taku ; Kamitani, Atsushi
Author_Institution
Grad. Sch. of Eng., Univ. of Hyogo, Himeji, Japan
Volume
47
Issue
5
fYear
2011
fDate
5/1/2011 12:00:00 AM
Firstpage
1222
Lastpage
1225
Abstract
The element-free Galerkin method (EFGM) and the boundary-node method (BNM) have been reformulated without integration cells. After a boundary is represented in terms of an implicit function, matrix elements are evaluated by use of the function. The results of computations show that the accuracy of the reformulated BNM is even higher than that of the dual-reciprocal boundary-element method. In addition, both the accuracy of the X-BNM and that of X-EFGM strongly depend on the support radius.
Keywords
Galerkin method; boundary-elements methods; boundary-value problems; integral equations; 2-D meshless approach; BNM; EFGM; boundary-node method; dual-reciprocal boundary-element method; element-free Galerkin method; integration cells; matrix elements; Accuracy; Approximation methods; Equations; Integral equations; Mathematical model; Moment methods; Shape; Boundary element methods; Galerkin method; boundary integral equations (BIEs); numerical analysis;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2010.2079919
Filename
5754759
Link To Document