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Solving Eikonal equation in 2D and 3D by Generalized Finite Difference Method

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dc.contributor.authorSalete Casino, Eduardo
dc.contributor.authorFlores, Jesús
dc.contributor.authorGarcía, Ángel
dc.contributor.authorNegreanu, Mihaela
dc.contributor.authorVargas Ureña, Antonio Manuel
dc.contributor.authorUreña, Francisco
dc.date.accessioned2025-01-07T12:20:00Z
dc.date.available2025-01-07T12:20:00Z
dc.date.issued2021-09-17
dc.descriptionEste es el manuscrito aceptado del artículo. La versión registrada fue publicada por primera vez en Comp and Math Methods. 2021; 3(6):e1203., está disponible en línea en el sitio web del editor: http://doi.org/https://doi.org/10.1002/cmm4.1203 This is the accepted manuscript of the article. The registered version was first published in Comp and Math Methods. 2021; 3(6):e1203., is available online at the publisher's website: http://doi.org/https://doi.org/10.1002/cmm4.1203
dc.description.abstractIn this paper we propose an implementation, for irregular cloud of points, of the meshless method called Generalized Finite Di erence Method to solve the fully nonlinear Eikonal equation in 2D and 3D. We obtain the explicit formulae for derivatives and solve the system of nonlinear equations using the Newton-Raphson method to obtain the approximate numerical values of the function for the discretization of the domain. It is also shown that the approximation of the scheme used is of second order. Finally, we provide several examples of its application over irregular domains in order to test accuracy of the scheme, as well as comparison with order numerical methods.es
dc.description.versionversión final
dc.identifier.citationSalete E, Flores J, García Á, Negreanu M, Vargas AM, Ureña F. Solving Eikonal equation in 2D and 3D by generalized finite difference method. Comp and Math Methods. 2021; 3(6):e1203. http://doi.org/https://doi.org/10.1002/cmm4.1203
dc.identifier.doihttp://doi.org/https://doi.org/10.1002/cmm4.1203
dc.identifier.issn2577-7408
dc.identifier.urihttps://hdl.handle.net/20.500.14468/25121
dc.journal.issue6
dc.journal.titleComputational and Mathematical Methods
dc.journal.volume3
dc.language.isoen
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-nc-nd/4.0/deed.es
dc.subject33 Ciencias Tecnológicas::3310 Tecnología industrial
dc.subject.keywordsGeneralized finite difference methoden
dc.subject.keywordsnonlinear Eikonal equationen
dc.subject.keywordsMeshless methodsen
dc.subject.keywordsPDEsen
dc.titleSolving Eikonal equation in 2D and 3D by Generalized Finite Difference Methoden
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication86523637-0995-45f4-81c6-3440ed55bb88
relation.isAuthorOfPublication.latestForDiscovery86523637-0995-45f4-81c6-3440ed55bb88
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