Numerical methods for the dynamics of unbounded domains

dc.creatorMesquita, Euclides
dc.creatorPavanello, Renato
dc.date2005-04-01
dc.date2014-07-18T20:03:54Z
dc.date2015-11-26T11:39:44Z
dc.date2014-07-18T20:03:54Z
dc.date2015-11-26T11:39:44Z
dc.date.accessioned2018-03-28T20:43:08Z
dc.date.available2018-03-28T20:43:08Z
dc.identifierComputational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 24, n. 1, p. 1-26, 2005.
dc.identifier1807-0302
dc.identifierS1807-03022005000100001
dc.identifier10.1590/S0101-82052005000100001
dc.identifierhttp://dx.doi.org/10.1590/S0101-82052005000100001
dc.identifierhttp://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022005000100001
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/38620
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/38620
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1234291
dc.descriptionThe present article discusses the relation between boundary conditions and the Sommerfeld radiation condition underlying the dynamics of unbounded domains. It is shown that the classical Dirichlet, Neumann and mixed boundary conditions do not fulfill the radiation condition. In the sequence, three strategies to incorporate the radiation condition in numerical methods are outlined. The inclusion of Infinite Elements in the realm of the Finite Element Method (FEM), the Dirichlet-to-Neumann (DtN) mapping and the Boundary Element Method (BEM) are described. Examples of solved dynamic problems in unbounded domains are given for the Helmholtz and the Navier operators. The advantages and limitations of the methodologies are discussed and pertinent literature is provided.
dc.description1
dc.description26
dc.languageen
dc.publisherSociedade Brasileira de Matemática Aplicada e Computacional
dc.relationComputational & Applied Mathematics
dc.rightsaberto
dc.sourceSciELO
dc.subjectSommerfeld radiation condition
dc.subjectFinite Element Method
dc.subjectInfinite Elements
dc.subjectDirichlet-to-Neumann Mapping
dc.subjectBoundary Element Method
dc.titleNumerical methods for the dynamics of unbounded domains
dc.typeArtículos de revistas


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