Title :
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
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2013.2285587