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A Virtual Element Method for a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology

hal.structure.identifierUniversidad del Bio Bio [Concepción] [UBB]
dc.contributor.authorANAYA, Veronica
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBENDAHMANE, Mostafa
hal.structure.identifierUniversidad del Bio Bio [Concepción] [UBB]
dc.contributor.authorMORA, David
hal.structure.identifierDepartamento de Ingeniería Matemática [Santiago] [DIM]
hal.structure.identifierUniversidad del Bio Bio [Concepción] [UBB]
dc.contributor.authorSEPULVEDA, Mauricio
dc.date2019
dc.date.accessioned2024-04-04T03:00:56Z
dc.date.available2024-04-04T03:00:56Z
dc.date.issued2019
dc.identifier.issn0272-4979
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192856
dc.description.abstractEnWe present a virtual element method (VEM) for a nonlocal reaction–diffusion system of the cardiac electric field. For this system, we analyze an H1-conforming discretization by means of VEM that can make use of general polygonal meshes. Under standard assumptions on the computational domain, we establish the convergence of the discrete solution by considering a series of a priori estimates and by using a general Lp compactness criterion. Moreover, we obtain optimal order space-time error estimates in the L2 norm. Finally, we report some numerical tests supporting the theoretical results.
dc.language.isoen
dc.publisherOxford University Press (OUP)
dc.subject.enError estimates
dc.subject.enConvergence
dc.subject.enFitzHugh–Nagumo equations
dc.subject.enVirtual element method
dc.title.enA Virtual Element Method for a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology
dc.typeArticle de revue
dc.identifier.doi10.1093/imanum/drz001
dc.subject.halMathématiques [math]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalIMA Journal of Numerical Analysis
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02142031
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02142031v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=IMA%20Journal%20of%20Numerical%20Analysis&rft.date=2019&rft.eissn=0272-4979&rft.issn=0272-4979&rft.au=ANAYA,%20Veronica&BENDAHMANE,%20Mostafa&MORA,%20David&SEPULVEDA,%20Mauricio&rft.genre=article


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