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The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test

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dc.contributor.authorMuelas Rodríguez, Ángel
dc.contributor.authorSalete Casino, Eduardo
dc.contributor.authorBenito Muñoz, Juan J.
dc.contributor.authorUreña, Francisco
dc.contributor.authorGavete, Luis
dc.contributor.authorUreña, Miguel
dc.date.accessioned2025-01-07T10:20:43Z
dc.date.available2025-01-07T10:20:43Z
dc.date.issued2019-04-10
dc.descriptionLa versión registrada de este artículo, publicado por primera vez en Journal of Geoscience and Environment Protection, 7, 1-17, está disponible en línea en el sitio web del editor:https://doi.org/10.4236/gep.2019.74001. The copyrighted version of this article, first published in Journal of Geoscience and Environment Protection, 7, 1-17, is available online at the publisher's website: https://doi.org/10.4236/gep.2019.74001.
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 publicada
dc.identifier.citationuelas, A., Salete, E., Benito, J. J., Ureña, F., Gavete, L., & Ureña, M. (2019). The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test. Journal of Geoscience and Environment Protection, 7, 1-17. https://doi.org/10.4236/gep.2019.74001
dc.identifier.doihttps://doi.org/10.4236/gep.2019.74001
dc.identifier.issn2327-4344 e-ISSN:2327-4336
dc.identifier.urihttps://hdl.handle.net/20.500.14468/25114
dc.journal.titleJournal of Geoscience and Environment Protection
dc.journal.volume7
dc.language.isoen
dc.page.final17
dc.page.initial1
dc.publisherWiley
dc.relation.centerE.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 methodsen
dc.subject.keywordsgeneralized finite difference methoden
dc.subject.keywordsgeophysicsen
dc.titleThe Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Testen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublicatione58b3763-6d5d-49c1-8d1e-00a9b2f15f72
relation.isAuthorOfPublication86523637-0995-45f4-81c6-3440ed55bb88
relation.isAuthorOfPublication.latestForDiscoverye58b3763-6d5d-49c1-8d1e-00a9b2f15f72
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