A hybrid method for sound-hard obstacle reconstruction

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorKress, Rainer-
Autor(es): dc.creatorSerranho, Pedro-
Data de aceite: dc.date.accessioned2019-08-21T16:56:40Z-
Data de disponibilização: dc.date.available2019-08-21T16:56:40Z-
Data de envio: dc.date.issued2011-10-31-
Data de envio: dc.date.issued2011-10-31-
Data de envio: dc.date.issued2007-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/1931-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/1931-
Descrição: dc.descriptionWe are interested in solving the inverse problem of acoustic wave scattering to reconstruct the position and the shape of sound-hard obstacles from a given incident field and the corresponding far field pattern of the scattered field. The method we suggest is an extension of the hybrid method for the reconstruction of sound-soft cracks as presented in [R. Kress, P. Serranho, A hybrid method for two-dimensional crack reconstruction, Inverse Problems 21 (2005) 773–784] to the case of sound-hard obstacles. The designation of the method is justified by the fact that it can be interpreted as a hybrid between a regularized Newton method applied to a nonlinear operator equation with the operator that maps the unknown boundary onto the solution of the direct scattering problem and a decomposition method in the spirit of the potential method as described in [A. Kirsch, R. Kress, On an integral equation of the first kind in inverse acoustic scattering, in: Cannon, Hornung (Eds.), Inverse Problems, ISNM, vol. 77, 1986, pp. 93–102. Since the method does not require a forward solver for each Newton step its computational costs are reduced. By some numerical examples we illustrate the feasibility of the method.-
Descrição: dc.descriptionFCT-
Idioma: dc.languageen-
Publicador: dc.publisherScienceDirect-
Relação: dc.relationBolsa FCT de doutoramento de referência SFRH/BD/14248/2003-
Relação: dc.relationhttp://www.sciencedirect.com/science/article/pii/S0377042706003694-
Relação: dc.relationdoi:10.1016/j.cam.2006.02.047-
Direitos: dc.rightsopenAccess-
Palavras-chave: dc.subjectInverse scattering problem-
Palavras-chave: dc.subjectHybrid method-
Palavras-chave: dc.subjectNeumann boundary condition-
Título: dc.titleA hybrid method for sound-hard obstacle reconstruction-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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