An automatic methodology for obtaining optimum shape factors for the radial point interpolation method
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFPA |
Texto Completo: | http://repositorio.ufpa.br/jspui/handle/2011/5531 |
Resumo: | 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). |
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2014-08-28T15:02:28Z2014-08-28T15:02:28Z2011-12MACHADO, Péricles L. et al. An automatic methodology for obtaining optimum shape factors for the radial point interpolation method. Journal of Microwaves, Optoelectronics and Electromagnetic Applications, São Caetano do Sul, v. 10, n. 2, p. 389-401, dez. 2011. Disponível em: <http://www.scielo.br/pdf/jmoea/v10n2/a09v10n2.pdf>. Acessos em: 12 mar. 2014. <http://dx.doi.org/10.1590/S2179-10742011000200009>.2179-1074http://repositorio.ufpa.br/jspui/handle/2011/5531In 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).engAlgoritmosEquação de MaxwellEletromagnetismoInterpolaçãoAnálise numéricaPrecisão numéricaInversão de matrizAn automatic methodology for obtaining optimum shape factors for the radial point interpolation methodinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleMACHADO, Péricles LopesOLIVEIRA, Rodrigo Melo e Silva deSOUZA, Washington César Braga deARAÚJO, Ramon Cristian FernandesTOSTES, Maria Emília de LimaGONÇALVES, Cláudioinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFPAinstname:Universidade Federal do Pará (UFPA)instacron:UFPACC-LICENSElicense_urllicense_urltext/plain; charset=utf-849http://repositorio.ufpa.br/oai/bitstream/2011/5531/2/license_url4afdbb8c545fd630ea7db775da747b2fMD52license_textlicense_texttext/html; charset=utf-822117http://repositorio.ufpa.br/oai/bitstream/2011/5531/3/license_textdd6580d2d5007383f0e67b904850adc9MD53license_rdflicense_rdfapplication/rdf+xml; charset=utf-823148http://repositorio.ufpa.br/oai/bitstream/2011/5531/4/license_rdf9da0b6dfac957114c6a7714714b86306MD54LICENSElicense.txtlicense.txttext/plain; charset=utf-81775http://repositorio.ufpa.br/oai/bitstream/2011/5531/5/license.txta930293e49ae6e6b5c49a341d4a36286MD55ORIGINALArtigo_AutomaticMethodologyObtaining.pdfArtigo_AutomaticMethodologyObtaining.pdfapplication/pdf977130http://repositorio.ufpa.br/oai/bitstream/2011/5531/1/Artigo_AutomaticMethodologyObtaining.pdf84b491318fb134b1b795b3a4bd1dc719MD51TEXTArtigo_AutomaticMethodologyObtaining.pdf.txtArtigo_AutomaticMethodologyObtaining.pdf.txtExtracted texttext/plain21555http://repositorio.ufpa.br/oai/bitstream/2011/5531/6/Artigo_AutomaticMethodologyObtaining.pdf.txt2a9e9b15ce7c856d4162fcac24938c05MD562011/55312017-12-06 12:35:49.134oai:repositorio.ufpa.br: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Repositório InstitucionalPUBhttp://repositorio.ufpa.br/oai/requestriufpabc@ufpa.bropendoar:21232017-12-06T15:35:49Repositório Institucional da UFPA - Universidade Federal do Pará (UFPA)false |
dc.title.pt_BR.fl_str_mv |
An automatic methodology for obtaining optimum shape factors for the radial point interpolation method |
title |
An automatic methodology for obtaining optimum shape factors for the radial point interpolation method |
spellingShingle |
An automatic methodology for obtaining optimum shape factors for the radial point interpolation method MACHADO, Péricles Lopes Algoritmos Equação de Maxwell Eletromagnetismo Interpolação Análise numérica Precisão numérica Inversão de matriz |
title_short |
An automatic methodology for obtaining optimum shape factors for the radial point interpolation method |
title_full |
An automatic methodology for obtaining optimum shape factors for the radial point interpolation method |
title_fullStr |
An automatic methodology for obtaining optimum shape factors for the radial point interpolation method |
title_full_unstemmed |
An automatic methodology for obtaining optimum shape factors for the radial point interpolation method |
title_sort |
An automatic methodology for obtaining optimum shape factors for the radial point interpolation method |
author |
MACHADO, Péricles Lopes |
author_facet |
MACHADO, Péricles Lopes OLIVEIRA, Rodrigo Melo e Silva de SOUZA, Washington César Braga de ARAÚJO, Ramon Cristian Fernandes TOSTES, Maria Emília de Lima GONÇALVES, Cláudio |
author_role |
author |
author2 |
OLIVEIRA, Rodrigo Melo e Silva de SOUZA, Washington César Braga de ARAÚJO, Ramon Cristian Fernandes TOSTES, Maria Emília de Lima GONÇALVES, Cláudio |
author2_role |
author author author author author |
dc.contributor.author.fl_str_mv |
MACHADO, Péricles Lopes OLIVEIRA, Rodrigo Melo e Silva de SOUZA, Washington César Braga de ARAÚJO, Ramon Cristian Fernandes TOSTES, Maria Emília de Lima GONÇALVES, Cláudio |
dc.subject.por.fl_str_mv |
Algoritmos Equação de Maxwell Eletromagnetismo Interpolação Análise numérica Precisão numérica Inversão de matriz |
topic |
Algoritmos Equação de Maxwell Eletromagnetismo Interpolação Análise numérica Precisão numérica Inversão de matriz |
description |
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). |
publishDate |
2011 |
dc.date.issued.fl_str_mv |
2011-12 |
dc.date.accessioned.fl_str_mv |
2014-08-28T15:02:28Z |
dc.date.available.fl_str_mv |
2014-08-28T15:02:28Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
MACHADO, Péricles L. et al. An automatic methodology for obtaining optimum shape factors for the radial point interpolation method. Journal of Microwaves, Optoelectronics and Electromagnetic Applications, São Caetano do Sul, v. 10, n. 2, p. 389-401, dez. 2011. Disponível em: <http://www.scielo.br/pdf/jmoea/v10n2/a09v10n2.pdf>. Acessos em: 12 mar. 2014. <http://dx.doi.org/10.1590/S2179-10742011000200009>. |
dc.identifier.uri.fl_str_mv |
http://repositorio.ufpa.br/jspui/handle/2011/5531 |
dc.identifier.issn.none.fl_str_mv |
2179-1074 |
identifier_str_mv |
MACHADO, Péricles L. et al. An automatic methodology for obtaining optimum shape factors for the radial point interpolation method. Journal of Microwaves, Optoelectronics and Electromagnetic Applications, São Caetano do Sul, v. 10, n. 2, p. 389-401, dez. 2011. Disponível em: <http://www.scielo.br/pdf/jmoea/v10n2/a09v10n2.pdf>. Acessos em: 12 mar. 2014. <http://dx.doi.org/10.1590/S2179-10742011000200009>. 2179-1074 |
url |
http://repositorio.ufpa.br/jspui/handle/2011/5531 |
dc.language.iso.fl_str_mv |
eng |
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eng |
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openAccess |
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Universidade Federal do Pará (UFPA) |
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