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On the use of stabilization techniques in the Cartesian grid finite element method framework for iterative solvers

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On the use of stabilization techniques in the Cartesian grid finite element method framework for iterative solvers

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dc.contributor.author Navarro-Jiménez, José-Manuel es_ES
dc.contributor.author Nadal, Enrique es_ES
dc.contributor.author Tur Valiente, Manuel es_ES
dc.contributor.author Martínez Casas, José es_ES
dc.contributor.author Ródenas, Juan José es_ES
dc.date.accessioned 2021-04-01T03:31:41Z
dc.date.available 2021-04-01T03:31:41Z
dc.date.issued 2020-07-15 es_ES
dc.identifier.issn 0029-5981 es_ES
dc.identifier.uri http://hdl.handle.net/10251/164821
dc.description "This is the peer reviewed version of the following article: Navarro-Jiménez, José Manuel, Enrique Nadal, Manuel Tur, José Martínez-Casas, and Juan José Ródenas. 2020. "On the Use of Stabilization Techniques in the Cartesian Grid Finite Element Method Framework for Iterative Solvers." International Journal for Numerical Methods in Engineering 121 (13). Wiley: 3004-20. doi:10.1002/nme.6344, which has been published in final form at https://doi.org/10.1002/nme.6344. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving." es_ES
dc.description.abstract [EN] Fictitious domain methods, like the Cartesian grid finite element method (cgFEM), are based on the use of unfitted meshes that must be intersected. This may yield to ill-conditioned systems of equations since the stiffness associated with a node could be small, thus poorly contributing to the energy of the problem. This issue complicates the use of iterative solvers for large problems. In this work, we present a new stabilization technique that, in the case of cgFEM, preserves the Cartesian structure of the mesh. The formulation consists in penalizing the free movement of those nodes by a smooth extension of the solution from the interior of the domain, through a postprocess of the solution via a displacement recovery technique. The numerical results show an improvement of the condition number and a decrease in the number of iterations of the iterative solver while preserving the problem accuracy. es_ES
dc.description.sponsorship The authors wish to thank the Spanish "Ministerio de Economía y Competitividad," the "Generalitat Valenciana," and the "Universitat Politècnica de València" for their financial support received through the projects DPI2017-89816-R, Prometeo 2016/007 and the FPI2015 program, respectively. es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof International Journal for Numerical Methods in Engineering es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject CgFE es_ES
dc.subject Condition number es_ES
dc.subject Fictitious domain es_ES
dc.subject Iterative solver es_ES
dc.subject.classification INGENIERIA MECANICA es_ES
dc.title On the use of stabilization techniques in the Cartesian grid finite element method framework for iterative solvers es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/nme.6344 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F007/ES/Modelado numérico avanzado en ingeniería mecánica/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2017-89816-R/ES/MODELADO PERSONALIZADO DE LA RESPUESTA DEL TEJIDO OSEO DE PACIENTES A PARTIR DE IMAGENES 3D MEDIANTE MALLADOS CARTESIANOS DE ELEMENTOS FINITOS/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Ingeniería Mecánica y de Materiales - Departament d'Enginyeria Mecànica i de Materials es_ES
dc.description.bibliographicCitation Navarro-Jiménez, J.; Nadal, E.; Tur Valiente, M.; Martínez Casas, J.; Ródenas, JJ. (2020). On the use of stabilization techniques in the Cartesian grid finite element method framework for iterative solvers. International Journal for Numerical Methods in Engineering. 121(13):3004-3020. https://doi.org/10.1002/nme.6344 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1002/nme.6344 es_ES
dc.description.upvformatpinicio 3004 es_ES
dc.description.upvformatpfin 3020 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 121 es_ES
dc.description.issue 13 es_ES
dc.relation.pasarela S\407311 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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