Publicação:
MATHEMATICA notebook for computing tetrahedral finite element shape functions and matrices for the Helmholtz equation

dc.contributor.authorFranco, MAR
dc.contributor.authorPassaro, A.
dc.contributor.authorMachado, J. M.
dc.contributor.institutionInst Estudos Avancados
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:01:33Z
dc.date.available2014-05-20T14:01:33Z
dc.date.issued1998-09-01
dc.description.abstractA MATHEMATICA notebook to compute the elements of the matrices which arise in the solution of the Helmholtz equation by the finite element method (nodal approximation) for tetrahedral elements of any approximation order is presented. The results of the notebook enable a fast computational implementation of finite element codes for high order simplex 3D elements reducing the overheads due to implementation and test of the complex mathematical expressions obtained from the analytical integrations. These matrices can be used in a large number of applications related to physical phenomena described by the Poisson, Laplace and Schrodinger equations with anisotropic physical properties.en
dc.description.affiliationInst Estudos Avancados, Ctr Tecn Aeroespacial, BR-12228840 SJ Campos, SP, Brazil
dc.description.affiliationUNESP, Dept Ciências Comp & Estatist, IBILCE, BR-15054000 SJ Rio Preto, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Ciências Comp & Estatist, IBILCE, BR-15054000 SJ Rio Preto, SP, Brazil
dc.format.extent3387-3390
dc.identifierhttp://dx.doi.org/10.1109/20.717797
dc.identifier.citationIEEE Transactions on Magnetics. New York: IEEE-Inst Electrical Electronics Engineers Inc., v. 34, n. 5, p. 3387-3390, 1998.
dc.identifier.doi10.1109/20.717797
dc.identifier.issn0018-9464
dc.identifier.scopus2-s2.0-33747216723
dc.identifier.urihttp://hdl.handle.net/11449/21721
dc.identifier.wosWOS:000075960200244
dc.language.isoeng
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.ispartofIEEE Transactions on Magnetics
dc.relation.ispartofjcr1.467
dc.relation.ispartofsjr0,488
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectHelmholtz equationspt
dc.subjectfinite element methodspt
dc.subjectanisotropic mediapt
dc.subjectsoftware toolspt
dc.titleMATHEMATICA notebook for computing tetrahedral finite element shape functions and matrices for the Helmholtz equationen
dc.typeArtigo
dcterms.licensehttp://www.ieee.org/publications_standards/publications/rights/rights_policies.html
dcterms.rightsHolderIEEE-Inst Electrical Electronics Engineers Inc
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentCiências da Computação e Estatística - IBILCEpt

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