A Dirichlet-to-Neumann finite element method for axisymmetric elastostatics in a semi-infinite domain

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dc.contributor.authorGodoy, Eduardo
dc.contributor.authorBoccardo, Valeria
dc.contributor.authorDuran, Mario
dc.date.accessioned2024-01-10T12:04:07Z
dc.date.available2024-01-10T12:04:07Z
dc.date.issued2017
dc.description.abstractThe Dirichlet-to-Neumann finite element method (DtN FEM) has proven to be a powerful numerical approach to solve boundary-value problems formulated in exterior domains. However, its application to elastic semi-infinite domains, which frequently arise in geophysical applications, has been rather limited, mainly due to the lack of explicit closed-form expressions for the DtN map. In this paper, we present a DtN FEM procedure for boundary-value problems of elastostatics in semi-infinite domains with axisymmetry about the vertical axis. A semi-spherical artificial boundary is used to truncate the semi-infinite domain and to obtain a bounded computational domain, where a FEM scheme is employed. By using a semi-analytical procedure of solution in the unbounded residual domain lying outside the artificial boundary, the exact nonlocal boundary conditions provided by the DtN map are numerically approximated and efficiently coupled with the FEM scheme. Numerical results are provided to demonstrate the effectiveness and accuracy of the proposed method. (C) 2016 Elsevier Inc. All rights reserved.
dc.description.funderProyecto CYTED-RED Tematica MAVS
dc.fechaingreso.objetodigital27-03-2024
dc.format.extent26 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jcp.2016.09.066
dc.identifier.eissn1090-2716
dc.identifier.issn0021-9991
dc.identifier.urihttps://doi.org/10.1016/j.jcp.2016.09.066
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/75694
dc.identifier.wosidWOS:000387980400001
dc.information.autorucIngeniería;Boccardo V;S/I;125991
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final26
dc.pagina.inicio1
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaJOURNAL OF COMPUTATIONAL PHYSICS
dc.rightsacceso restringido
dc.subjectDirichlet-to-Neumann map
dc.subjectSemi-infinite domain
dc.subjectFinite elements
dc.subjectElasticity
dc.subjectNONREFLECTING BOUNDARY-CONDITIONS
dc.subjectEXTERIOR SCATTERING PROBLEMS
dc.subjectINFINITE ELASTIC-FOUNDATION
dc.subjectDTN-FE METHOD
dc.subjectARTIFICIAL BOUNDARY
dc.subjectUNBOUNDED-DOMAINS
dc.subjectERROR ANALYSIS
dc.subjectWAVE-EQUATION
dc.subjectAPPROXIMATION
dc.titleA Dirichlet-to-Neumann finite element method for axisymmetric elastostatics in a semi-infinite domain
dc.typeartículo
dc.volumen328
sipa.codpersvinculados125991
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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