An automatic methodology for obtaining optimum shape factors for the radial point interpolation method

• Autor(a) principal: MACHADO, Péricles Lopes
• Data de Publicação: 2011
• Outros Autores: OLIVEIRA, Rodrigo Melo e Silva de, SOUZA, Washington César Braga de, ARAÚJO, Ramon Cristian Fernandes, TOSTES, Maria Emília de Lima, GONÇALVES, Cláudio
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UFPA
• Texto Completo: http://repositorio.ufpa.br/jspui/handle/2011/5531
• topic: Algoritmos; Equação de Maxwell; Eletromagnetismo; Interpolação; Análise numérica; Precisão numérica; Inversão de matriz

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).