Application of the Galerkin and Least-Squares Finite Element Methods in the solution of 3D Poisson and Helmholtz equations

dc.creatorRomao, EC
dc.creatorCampos, MD
dc.creatorMoura, LFM
dc.date2011
dc.dateDEC
dc.date2014-07-30T13:49:21Z
dc.date2015-11-26T16:37:46Z
dc.date2014-07-30T13:49:21Z
dc.date2015-11-26T16:37:46Z
dc.date.accessioned2018-03-28T23:20:57Z
dc.date.available2018-03-28T23:20:57Z
dc.identifierComputers & Mathematics With Applications. Pergamon-elsevier Science Ltd, v. 62, n. 11, n. 4288, n. 4299, 2011.
dc.identifier0898-1221
dc.identifierWOS:000297963800030
dc.identifier10.1016/j.camwa.2011.10.022
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/54781
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/54781
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1272112
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionThis paper presents the numerical solution, by the Galerkin and Least Squares Finite Element Methods, of the three-dimensional Poisson and Helmholtz equations, representing heat diffusion in solids. For the two applications proposed, the analytical solutions found in the literature review were used to compare with the numerical solutions. The analysis of results was made from the L(2) norm (average error throughout the domain) and L(infinity) norm (maximum error in the entire domain). The results of the two applications (Poisson and Helmholtz equations) are presented and discussed for testing of the efficiency of the methods. (C) 2011 Elsevier Ltd. All rights reserved.
dc.description62
dc.description11
dc.description4288
dc.description4299
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.languageen
dc.publisherPergamon-elsevier Science Ltd
dc.publisherOxford
dc.publisherInglaterra
dc.relationComputers & Mathematics With Applications
dc.relationComput. Math. Appl.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectFinite element method
dc.subjectGalerkin method
dc.subjectDiffusion
dc.subjectSolid
dc.subjectPoisson equation
dc.subjectHelmholtz equation
dc.titleApplication of the Galerkin and Least-Squares Finite Element Methods in the solution of 3D Poisson and Helmholtz equations
dc.typeArtículos de revistas


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