An Automatic Methodology for Obtaining Optimum Shape Factors for the Radial Point Interpolation Method
Journal of Microwaves Optoelectronics and Electromagnetic Applications
Endereço:
Praça Mauá, 1
São Caetano do Sul / SP
09580-900
Site: http://www.jmoe.org
Telefone: (11) 4238-8988
ISSN: 2179-1074
Editor Chefe: Maria Thereza Miranda Rocco Giraldi e Renato Cardoso Mesquita
Início Publicação: 30/04/1997
Periodicidade: Semestral
Área de Estudo: Engenharia elétrica
An Automatic Methodology for Obtaining Optimum Shape Factors for the Radial Point Interpolation Method
Ano: 2011 | Volume: 10 | Número: 2
Autores: Péricles L. Machado, Rodrigo M.S. de Oliveira, Washington C.B. Souza, Ramon C.F. Araújo, Maria E.L. Tostes
Autor Correspondente: Péricles L. Machado | [email protected]
Autor Correspondente: Péricles L. Machado | [email protected]
Palavras-chave: improved numerical precision, matrix inversion difficulties, optimum shape factor calculation, radial point interpolation method (RPIM).
Resumos Cadastrados
Resumo Inglês:
In this letter, a methodology is proposed for automatically (and
locally) obtaining the shape factor c for the Gaussian basis functions, for each
support domain, in order to increase numerical precision and mainly to avoid
matrix inversion impossibilities. The concept of calibration function is introduced,
which is used for obtaining c. The methodology developed was applied for a 2-D
numerical experiment, which results are compared to analytical solution. This
comparison revels that the results associated to the developed methodology are
very close to the analytical solution for the entire bandwidth of the excitation
pulse. The proposed methodology is called in this work Local Shape Factor
Calibration Method (LSFCM).
