Adaptive mixed FEM combined with the method of characteristics for stationary convection–diffusion–reaction problems

Simple item page
UDC.coleccionInvestigaciónes_ES
UDC.departamentoMatemáticases_ES
UDC.grupoInvModelos e Métodos Numéricos en Enxeñaría e Ciencias Aplicadas (M2NICA)es_ES
UDC.issue104045es_ES
UDC.journalTitleFinite Elements in Analysis and Designes_ES
UDC.volume227es_ES
dc.contributor.authorAntony Oliver, Mary Chriselda
dc.contributor.authorGonzález Taboada, María
dc.date.accessioned2024-07-04T10:22:01Z
dc.date.available2024-07-04T10:22:01Z
dc.date.issued2023-12-01
dc.description.abstract[Abstract]: We consider a stationary convection–diffusion–reaction model problem in a two- or three-dimensional bounded domain. We approximate this model by a non-stationary problem and propose a numerical method that combines the method of characteristics with an augmented mixed finite element procedure. We show that this scheme has a unique solution. We also derive a residual-based a posteriori error indicator and prove it is reliable and locally efficient. Finally, we provide some numerical experiments that illustrate the performance of the adaptive algorithm.es_ES
dc.description.sponsorshipThis work was completed when M.C.A.O was supported by the University of Leeds, United Kingdom through the Tetley and Lupton studentship and currently acknowledges the receipt of funding obtained from the Health Data Research UK-The Alan Turing Institute Wellcome (Grant Ref: 218529/Z/19/Z ) and the Cambridge Trust scholarship from the Commonwealth European and International Trust (CCEIT), United Kingdom . The research of M.G. was supported by CITIC, Spain through Xunta de Galicia and the European Union ( European Regional Development Fund - Galicia 2014–2020 Program), by grant ED431G 2019/01 , and Xunta de Galicia (Spain) through grant GRC ED431C 2018–033.es_ES
dc.description.sponsorshipHealth Data Research UK-The Alan Turing Institute Wellcome; 218529/Z/19/Zes_ES
dc.description.sponsorshipXunta de Galicia; ED431G 2019/01es_ES
dc.description.sponsorshipXunta de Galicia; ED431C 2018–033es_ES
dc.identifier.citationM. C. Antony Oliver, and M. González, "Adaptive mixed FEM combined with the method of characteristics for stationary convection–diffusion–reaction problems", Finite Elements in Analysis and Design, Vol. 227, 1 December 2023, 104045, doi: 10.1016/j.finel.2023.104045es_ES
dc.identifier.doi10.1016/j.finel.2023.104045
dc.identifier.issn0168-874X
dc.identifier.urihttp://hdl.handle.net/2183/37706
dc.language.isoenges_ES
dc.publisherElsevier B.V.es_ES
dc.relation.urihttps://doi.org/10.1016/j.finel.2023.104045es_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Españaes_ES
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectConvection–diffusion–reactiones_ES
dc.subjectDominant convectiones_ES
dc.subjectMethod of characteristicses_ES
dc.subjectMixed finite elementes_ES
dc.subjectResidual a posteriori estimateses_ES
dc.titleAdaptive mixed FEM combined with the method of characteristics for stationary convection–diffusion–reaction problemses_ES
dc.typejournal articlees_ES
dspace.entity.typePublication
relation.isAuthorOfPublication0297067b-d946-4ca7-a145-b81432bb84e1
relation.isAuthorOfPublication.latestForDiscovery0297067b-d946-4ca7-a145-b81432bb84e1

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
Gonzalez_Maria_2023_Adaptive_mixed_FEM_combined_with_the_method_of_characteristics_for_stationary_convection_diffusion_reaction_problems.pdf
Size:
6.62 MB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Investigación (FIC)