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
fDate :
5/1/2011 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2079919
