Please use this identifier to cite or link to this item: http://repository.vnu.edu.vn/handle/VNU_123/25928
Title: Application of two radial basis function-pseudospectral meshfree methods to three-dimensional electromagnetic problems
Authors: Vu, P
Fasshauer, G. E
Keywords: SCATTERED DATA;PARAMETER;PLATES
Issue Date: 2010
Publisher: INST ENGINEERING TECHNOLOGY-IET, MICHAEL FARADAY HOUSE SIX HILLS WAY STEVENAGE, HERTFORD SG1 2AY, ENGLAND
Citation: ISIKNOWLEDGE
Abstract: In this study the authors present an application of the radial basis function-pseudospectral (RBF-PS) meshfree method as well as a least squares variant thereof to a three-dimensional (3D) benchmark engineering problem defined by the Laplace equation. To their knowledge this is the first such study. The RBF-PS method is a version of the radial basis function (RBF) collocation method formulated in the vein of traditional pseudospectral methods. The least squares RBF-PS method introduced here as a modification of the RBF-PS method allows the authors to work with fewer RBFs while maintaining a high number of collocation points. In addition, the authors use a leave-one-out cross validation algorithm to choose an 'optimal' shape parameter for their basis functions. In order to evaluate the accuracy, effectiveness and applicability of their new approach, the authors apply it to a 3D benchmark electromagnetic problem. Their numerical results demonstrate that the proposed methods compare favourably to the finite difference and finite element methods
Description: TNS05952 ; IET SCIENCE MEASUREMENT & TECHNOLOGY Volume: 5 Issue: 6 Pages: 206-210
URI: http://repository.vnu.edu.vn/handle/VNU_123/25928
http://digital-library.theiet.org/content/journals/10.1049/iet-smt.2010.0125
ISSN: 1751-8822
Appears in Collections:Bài báo của ĐHQGHN trong Web of Science

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