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dc.contributor.authorTran, M.-B.
dc.date.accessioned2016-06-13T13:33:48Z
dc.date.available2016-06-13T13:33:48Z
dc.date.issued2014-12-31
dc.identifier.issn0764-583X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/224
dc.description.abstractWe present in this paper a proof of well-posedness and convergence for the parallel Schwarz Waveform Relaxation Algorithm adapted to an N-dimensional semilinear heat equation. Since the equation we study is an evolution one, each subproblem at each step has its own local existence time, we then determine a common existence time for every problem in any subdomain at any step. We also introduce a new technique: Exponential Decay Error Estimates, to prove the convergence of the Schwarz Methods, with multisubdomains, and then apply it to our problem.
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.titleParallel Schwarz wave form relaxation algorithm for an n-dimensional semilinear heat equation
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1051/m2an/2013121
dc.relation.publisherversionhttp://www.esaim-m2an.org/articles/m2an/abs/2014/03/m2an130121/m2an130121.html?trendmd-shared=0
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/246775en_US
dc.relation.projectIDES/6PN/MTM2011-29306-C02-01en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleESAIM Mathematical Modelling and Numerical Analysisen_US


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