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dc.contributor.authorGerardo-Giorda, L.
dc.contributor.authorPerego, M.
dc.date.accessioned2017-02-21T08:15:42Z
dc.date.available2017-02-21T08:15:42Z
dc.date.issued2013-12-31
dc.identifier.issn0764-583X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/402
dc.description.abstractThe propagation of the action potential in the heart chambers is accurately described by the Bidomain model, which is commonly accepted and used in the specialistic literature. However, its mathematical structure of a degenerate parabolic system entails high computational costs in the numerical solution of the associated linear system. Domain decomposition methods are a natural way to reduce computational costs, and Optimized Schwarz Methods have proven in the recent years their effectiveness in accelerating the convergence of such algorithms. The latter are based on interface matching conditions more efficient than the classical Dirichlet or Neumann ones. In this paper we analyze an Optimized Schwarz approach for the numerical solution of the Bidomain problem. We assess the convergence of the iterative method by means of Fourier analysis, and we investigate the parameter optimization in the interface conditions. Numerical results in 2D and 3D are given to show the effectiveness of the method.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectComputational electrocardiology
dc.subjectDomain decomposition
dc.subjectOptimized schwarz methods
dc.titleOptimized schwarz methods for the bidomain system in electrocardiology
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1051/m2an/2012040
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84996128889&doi=10.1051%2fm2an%2f2012040&partnerID=40&md5=dfc1e43e1451a0a0a70b69a6586933b7
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleMathematical Modelling and Numerical Analysisen_US


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