Fast multipole method applied to 3D frequency domain elastodynamics

This article is concerned with the formulation and implementation of a fast multipole- accelerated BEM for 3-D elastodynamics in the frequency domain, based on the so-called diagonal form for the expansion of the elastodynamic fundamental solu- tion, a multi-level strategy. As usual with the FM-BEM,...

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Detalles Bibliográficos
Autores: Sanz Herrera, José Antonio, Bonnet, Marc, Domínguez Abascal, José
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2008
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/89234
Acceso en línea:https://hdl.handle.net/11441/89234
https://doi.org/10.1016/j.enganabound.2008.03.002
Access Level:acceso abierto
Palabra clave:Fast Multipole Method
Boundary Element Method,
3D Elastodynamics
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spelling Fast multipole method applied to 3D frequency domain elastodynamicsSanz Herrera, José AntonioBonnet, MarcDomínguez Abascal, JoséFast Multipole MethodBoundary Element Method,3D ElastodynamicsThis article is concerned with the formulation and implementation of a fast multipole- accelerated BEM for 3-D elastodynamics in the frequency domain, based on the so-called diagonal form for the expansion of the elastodynamic fundamental solu- tion, a multi-level strategy. As usual with the FM-BEM, the linear system of BEM equations is solved by GMRES, and the matrix is never explicitly formed. The truncation parameter in the multipole expansion is adjusted to the level, a feature known from recent published studies for the Maxwell equations. A preconditioning strategy based on the concept of sparse approximate inverse (SPAI) is presented and implemented. The proposed formulation is assessed on numerical examples in- volving O(105) BEM unknowns, which show in particular that, as expected, the proposed FM-BEM is much faster than the traditional BEM, and that the GMRES iteration count is significantly reduced when the SPAI preconditioner is used.Ministerio de Educaci´on y Ciencia DPI2004-08147-C02-02ElsevierMecánica de Medios Continuos y Teoría de Estructuras2008info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/89234https://doi.org/10.1016/j.enganabound.2008.03.002reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésEngineering Analysis with Boundary Elements, 32 (10), 787-795.DPI2004-08147-C02-02https://www.sciencedirect.com/science/article/pii/S0955799708000210info:eu-repo/semantics/openAccessoai:idus.us.es:11441/892342026-06-17T12:51:07Z
dc.title.none.fl_str_mv Fast multipole method applied to 3D frequency domain elastodynamics
title Fast multipole method applied to 3D frequency domain elastodynamics
spellingShingle Fast multipole method applied to 3D frequency domain elastodynamics
Sanz Herrera, José Antonio
Fast Multipole Method
Boundary Element Method,
3D Elastodynamics
title_short Fast multipole method applied to 3D frequency domain elastodynamics
title_full Fast multipole method applied to 3D frequency domain elastodynamics
title_fullStr Fast multipole method applied to 3D frequency domain elastodynamics
title_full_unstemmed Fast multipole method applied to 3D frequency domain elastodynamics
title_sort Fast multipole method applied to 3D frequency domain elastodynamics
dc.creator.none.fl_str_mv Sanz Herrera, José Antonio
Bonnet, Marc
Domínguez Abascal, José
author Sanz Herrera, José Antonio
author_facet Sanz Herrera, José Antonio
Bonnet, Marc
Domínguez Abascal, José
author_role author
author2 Bonnet, Marc
Domínguez Abascal, José
author2_role author
author
dc.contributor.none.fl_str_mv Mecánica de Medios Continuos y Teoría de Estructuras
dc.subject.none.fl_str_mv Fast Multipole Method
Boundary Element Method,
3D Elastodynamics
topic Fast Multipole Method
Boundary Element Method,
3D Elastodynamics
description This article is concerned with the formulation and implementation of a fast multipole- accelerated BEM for 3-D elastodynamics in the frequency domain, based on the so-called diagonal form for the expansion of the elastodynamic fundamental solu- tion, a multi-level strategy. As usual with the FM-BEM, the linear system of BEM equations is solved by GMRES, and the matrix is never explicitly formed. The truncation parameter in the multipole expansion is adjusted to the level, a feature known from recent published studies for the Maxwell equations. A preconditioning strategy based on the concept of sparse approximate inverse (SPAI) is presented and implemented. The proposed formulation is assessed on numerical examples in- volving O(105) BEM unknowns, which show in particular that, as expected, the proposed FM-BEM is much faster than the traditional BEM, and that the GMRES iteration count is significantly reduced when the SPAI preconditioner is used.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/89234
https://doi.org/10.1016/j.enganabound.2008.03.002
url https://hdl.handle.net/11441/89234
https://doi.org/10.1016/j.enganabound.2008.03.002
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Engineering Analysis with Boundary Elements, 32 (10), 787-795.
DPI2004-08147-C02-02
https://www.sciencedirect.com/science/article/pii/S0955799708000210
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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