dc.creator | Chacón Rebollo, Tomás | |
dc.creator | Gómez Mármol, María Macarena | |
dc.creator | Narbona Reina, Gladys | |
dc.date.accessioned | 2016-01-14T07:19:42Z | |
dc.date.available | 2016-01-14T07:19:42Z | |
dc.date.issued | 2007 | |
dc.identifier.citation | Chacón Rebollo, T., Gómez Mármol, M.M. y Narbona-Reina, G. (2007). Numerical analysis of the PSI solution of advection–diffusion problems through a Petrov–Galerkin formulation. Mathematical Models and Methods in Applied Sciences, 17 (11), 1905-1936. | |
dc.identifier.issn | 0218-2025 | es |
dc.identifier.uri | http://hdl.handle.net/11441/32516 | |
dc.description.abstract | We consider a system composed by two immiscible fluids in two-dimensional space that can be modelized by a bilayer Shallow Water equations with extra friction terms and capillary effects. We give an existence theorem of global weak solutions in a periodic domain. | es |
dc.description.abstract | In this paper we introduce an analysis technique for the solution of the steady advection– diffusion equation by the PSI (Positive Streamwise Implicit) method. We formulate this approximation as a nonlinear finite element Petrov–Galerkin scheme, and use tools of functional analysis to perform a convergence, error and maximum principle analysis. We prove that the scheme is first-order accurate in H1 norm, and well-balanced up to second order for convection-dominated flows. We give some numerical evidence that the scheme is only first-order accurate in L2 norm. Our analysis also holds for other nonlinear Fluctuation Splitting schemes that can be built from first-order monotone schemes by the Abgrall and Mezine’s technique. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | World Scientific Publishing | es |
dc.relation.ispartof | Mathematical Models and Methods in Applied Sciences, 17 (11), 1905-1936. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Fluctuation splitting schemes | es |
dc.subject | Finite element | es |
dc.subject | convection–diffusion problem | es |
dc.title | Numerical analysis of the PSI solution of advection–diffusion problems through a Petrov–Galerkin formulation | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.publisherversion | http://doi.org/10.1142/S0218202507002510 | |
dc.identifier.doi | 10.1142/S0218202507002510 | |
dc.journaltitle | Mathematical Models and Methods in Applied Sciences | es |
dc.publication.volumen | 17 | es |
dc.publication.issue | 11 | es |
dc.publication.initialPage | 1905 | es |
dc.publication.endPage | 1936 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/32516 | |