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dc.contributor.authorGerardo-Giorda, L.
dc.contributor.authorTran, M.-B.
dc.date.accessioned2016-06-13T13:44:26Z
dc.date.available2016-06-13T13:44:26Z
dc.date.issued2015-12-31
dc.identifier.issn0764-583X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/277
dc.description.abstractWe design two parallel schemes, based on Schwarz Waveform Relaxation (SWR) procedures, for the numerical solution of the Kolmogorov equation. The latter is a simplified version of the Fokker-Planck equation describing the time evolution of the probability density of the velocity of a particle. SWR procedures decompose the spatio- temporal computational domain into subdomains and solve (in parallel) subproblems, that are coupled through suitable conditions at the interfaces to recover the solution of the global problem. We consider coupling conditions of both Dirichlet (Classical SWR) and Robin (Optimized SWR) types. We prove well-posedeness of the schemes subproblems and convergence for the proposed algorithms. We corroborate our findings with some numerical tests.
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.subjectDomain decomposition
dc.subjectSchwarz waveform relaxation methods
dc.subjectoptimized Schwarz
dc.subjectKolmogorov equation
dc.subjectFokker–Plank equation
dc.subjectkinetic equations
dc.titleParallelizing the Kolmogorov-Fokker-Planck Equation
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1051/m2an/2014038
dc.relation.publisherversionhttp://www.esaim-m2an.org/articles/m2an/abs/2015/02/m2an140038-s/m2an140038-s.html
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 M2AN: Mathematical Modelling and Numerical Analysisen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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