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A VIRTUAL ELEMENT METHOD FOR A NONLOCAL FITZHUGH-NAGUMO MODEL OF CARDIAC ELECTROPHYSIOLOGY

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dc.creatorVERÓNICA JULIA ANAYA DOMÍNGUEZ
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2020
dc.date.accessioned2025-01-10T15:08:46Z
dc.date.available2025-01-10T15:08:46Z
dc.date.issued2020
dc.description.abstractWE 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.formatapplication/pdf
dc.identifier.doi10.1093/imanum/drz001
dc.identifier.issn1464-3642
dc.identifier.issn0272-4979
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10636
dc.languagespa
dc.publisherIMA JOURNAL OF NUMERICAL ANALYSIS
dc.relation.uri10.1093/imanum/drz001
dc.rightsPUBLICADA
dc.titleA VIRTUAL ELEMENT METHOD FOR A NONLOCAL FITZHUGH-NAGUMO MODEL OF CARDIAC ELECTROPHYSIOLOGY
dc.title.alternativeUN MÉTODO DE ELEMENTO VIRTUAL PARA UN MODELO NO LOCAL DE FITZHUGH-NAGUMO DE ELECTROFISIOLOGÍA CARDÍACA
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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