Interpolating EFGM for computing continuous and discontinuous electromagnetic fields

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dc.contributor.authorMarques, Gleber Nelson
dc.contributor.authorMachado, Jose Marcio
dc.contributor.authorLopes Verardi, Sergio Luis
dc.contributor.authorStephany, Stephan
dc.contributor.authorPreto, Airam Jonatas
dc.contributor.institutionMato Grosso State Univ
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionInstituto Nacional de Pesquisas Espaciais (INPE)
dc.date.accessioned2014-05-20T15:19:51Z
dc.date.available2014-05-20T15:19:51Z
dc.date.issued2007-01-01
dc.description.abstractPurpose - This paper proposes an interpolating approach of the element-free Galerkin method (EFGM) coupled with a modified truncation scheme for solving Poisson's boundary value problems in domains involving material non-homogeneities. The suitability and efficiency of the proposed implementation are evaluated for a given set of test cases of electrostatic field in domains involving different material interfaces.Design/methodology/approach - the authors combined an interpolating approximation with a modified domain truncation scheme, which avoids additional techniques for enforcing the Dirichlet boundary conditions and for dealing with material interfaces usually employed in meshfree formulations.Findings - the local electric potential and field distributions were correctly described as well as the global quantities like the total potency and resistance. Since, the treatment of the material interfaces becomes practically the same for both the finite element method (FEM) and the proposed EFGM, FEM-oriented programs can, thus, be easily extended to provide EFGM approximations.Research limitations/implications - the robustness of the proposed formulation became evident from the error analyses of the local and global variables, including in the case of high-material discontinuity.Practical implications - the proposed approach has shown to be as robust as linear FEM. Thus, it becomes an attractive alternative, also because it avoids the use of additional techniques to deal with boundary/interface conditions commonly employed in meshfree formulations.Originality/value - This paper reintroduces the domain truncation in the EFGM context, but by using a set of interpolating shape functions the authors avoided the use of Lagrange multipliers as well Mathematics in Engineering high-material discontinuity.en
dc.description.affiliationMato Grosso State Univ, Alto Araguaia, Brazil
dc.description.affiliationSão Paulo State Univ, Sao Jose do Rio Preto, Brazil
dc.description.affiliationINPE, Brazilian Inst Space Res, Sao Jose do Rio Preto, Brazil
dc.description.affiliationUnespSão Paulo State Univ, Sao Jose do Rio Preto, Brazil
dc.format.extent1411-1438
dc.identifierhttp://dx.doi.org/10.1108/03321640710823082
dc.identifier.citationCompel-the International Journal For Computation and Mathematics In Electrical and Electronic Engineering. Bingley: Emerald Group Publishing Limited, v. 26, n. 5, p. 1411-1438, 2007.
dc.identifier.doi10.1108/03321640710823082
dc.identifier.issn0332-1649
dc.identifier.urihttp://hdl.handle.net/11449/31238
dc.identifier.wosWOS:000251005900012
dc.language.isoeng
dc.publisherEmerald Group Publishing Limited
dc.relation.ispartofCompel-the International Journal For Computation and Mathematics In Electrical and Electronic Engineering
dc.relation.ispartofjcr0.534
dc.relation.ispartofsjr0,220
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectfinite element analysispt
dc.subjectelectromagnetic fieldspt
dc.subjectsimulationpt
dc.titleInterpolating EFGM for computing continuous and discontinuous electromagnetic fieldsen
dc.typeArtigo
dcterms.licensehttp://www.emeraldinsight.com/authors/writing/author_rights.htm?PHPSESSID=mbnk18gfsk19l52rkuk6esht34
dcterms.rightsHolderEmerald Group Publishing Limited

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