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Application of generalised finite differences method to reflection and transmission problems in seismic SH waves propagation

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dc.contributor.authorUreña, Miguel
dc.contributor.authorBenito Muñoz, Juan J.
dc.contributor.authorUreña, Francisco
dc.contributor.authorSalete Casino, Eduardo
dc.contributor.authorGavete, Luis
dc.contributor.authorMuelas Rodríguez, Ángel
dc.date.accessioned2025-01-07T11:29:48Z
dc.date.available2025-01-07T11:29:48Z
dc.date.issued2017-01-09
dc.descriptionLa versión registrada de este artículo, publicado por primera vez en Mathematical Methods in the Applied Sciences, 41(6),Pages 2328-2339, está disponible en línea en el sitio web del editor: https://doi.org/10.1002/mma.4268 The copyrighted version of this article, first published in Mathematical Methods in the Applied Sciences, 41(6),Pages 2328-2339, is available online at the publisher's website: https://doi.org/10.1002/mma.4268
dc.description.abstractA matrix formulation of the generalised finite difference method is introduced. A necessary and sufficient condition for the uniqueness of the solution is demonstrated, and important practical consequences are obtained. A generalised finite differences scheme for SH wave is obtained, the stability of the scheme is analysed and the formula for the velocity of the wave due to the scheme is obtained in order to deal with the numerical dispersion. The method is applied to seismic waves propagation problems, specifically to the problem of reflection and transmission of plane waves in heterogeneous media. A heterogeneous approach without nodes at the interface is chosen to solve the problem in heterogeneous media.en
dc.description.versionversión final
dc.identifier.citationUreña, M., Benito, J., Ureña, F., Salete, E., Gavete, L. and Muelas, A. , (2019) Application of generalised finite differences method to reflection and transmission problems in seismic SH waves propagation. Mathematical Methods in the Applied Sciences, 41(6),Pages 2328-2339. https://doi.org/10.1002/mma.4268
dc.identifier.doihttps://doi.org/10.1002/mma.4268
dc.identifier.issn0170-4214 e-ISSN: 1099-1476
dc.identifier.urihttps://hdl.handle.net/20.500.14468/25118
dc.journal.titleMathematical Methods in the Applied Sciences
dc.journal.volume41
dc.language.isoen
dc.page.final2339
dc.page.initial2328
dc.publisherWiley
dc.relation.centerFacultades y escuelas::E.T.S. de Ingenieros Industriales
dc.relation.departmentIngeniería de Construcción y Fabricación
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.es
dc.subject33 Ciencias Tecnológicas::3310 Tecnología industrial
dc.subject.keywordsMeshless methodses
dc.subject.keywordsgeneralized finite difference methodes
dc.subject.keywordsgeophysicses
dc.titleApplication of generalised finite differences method to reflection and transmission problems in seismic SH waves propagationen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication86523637-0995-45f4-81c6-3440ed55bb88
relation.isAuthorOfPublicatione58b3763-6d5d-49c1-8d1e-00a9b2f15f72
relation.isAuthorOfPublication.latestForDiscoverye58b3763-6d5d-49c1-8d1e-00a9b2f15f72
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