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Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations

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Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations

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Nombre: Geiser;Hueso;Martínez ...
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dc.contributor.author Geiser, Jürgen es_ES
dc.contributor.author Hueso, Jose L. es_ES
dc.contributor.author Martínez Molada, Eulalia es_ES
dc.date.accessioned 2021-02-23T04:31:14Z
dc.date.available 2021-02-23T04:31:14Z
dc.date.issued 2020-03 es_ES
dc.identifier.uri http://hdl.handle.net/10251/162099
dc.description.abstract [EN] This article proposes adaptive iterative splitting methods to solve Multiphysics problems, which are related to convection-diffusion-reaction equations. The splitting techniques are based on iterative splitting approaches with adaptive ideas. Based on shifting the time-steps with additional adaptive time-ranges, we could embedded the adaptive techniques into the splitting approach. The numerical analysis of the adapted iterative splitting schemes is considered and we develop the underlying error estimates for the application of the adaptive schemes. The performance of the method with respect to the accuracy and the acceleration is evaluated in different numerical experiments. We test the benefits of the adaptive splitting approach on highly nonlinear Burgers' and Maxwell-Stefan diffusion equations. es_ES
dc.description.sponsorship This research was funded by German Academic Exchange Service grant number 91588469. We acknowledge support by the DFG Open Access Publication Funds of the Ruhr-Universität of Bochum, Germany and by Ministerio de Economía y Competitividad, Spain, under grant PGC2018-095896-B-C21-C22. es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Time adaptive integration es_ES
dc.subject Adaptive iterative splitting es_ES
dc.subject Operator-splitting method es_ES
dc.subject Error control es_ES
dc.subject Convection-diffusion-reaction equations es_ES
dc.subject Iterative solver method es_ES
dc.subject Nonlinear equations es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math8030302 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C21/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/DAAD//91588469/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Generalitat Valenciana//ACOMP%2F2009%2F122/ES/ANALISIS MATRICIAL, MATRICES NO NEGATIVAS Y APLICACIONES./ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Geiser, J.; Hueso, JL.; Martínez Molada, E. (2020). Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations. Mathematics. 8(3):1-22. https://doi.org/10.3390/math8030302 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math8030302 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 22 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8 es_ES
dc.description.issue 3 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\406771 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Deutsche Forschungsgemeinschaft es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder Deutscher Akademischer Austauschdienst es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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