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Type: Artigo de periódico
Title: Numerical methods for the dynamics of unbounded domains
Author: Mesquita, Euclides
Pavanello, Renato
Abstract: The 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.
Subject: Sommerfeld radiation condition
Finite Element Method
Infinite Elements
Dirichlet-to-Neumann Mapping
Boundary Element Method
Editor: Sociedade Brasileira de Matemática Aplicada e Computacional
Rights: aberto
Identifier DOI: 10.1590/S0101-82052005000100001
Date Issue: 1-Apr-2005
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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