Mostrar el registro sencillo del ítem

A gradient reconstruction formula for finite volume schemes and discrete duality

hal.structure.identifierLaboratoire de Mathématiques de Besançon (UMR 6623) [LMB]
dc.contributor.authorANDREIANOV, Boris
hal.structure.identifierCentro de Investigación en Ingeniería Matemática [Concepción] [CI²MA]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBENDAHMANE, Mostafa
hal.structure.identifierCenter of Mathematics for Applications [Oslo] [CMA]
dc.contributor.authorKARLSEN, Kenneth Hvistendahl
dc.contributor.editorR. Eymard and J.-M. Herard
dc.date.accessioned2024-04-04T02:29:07Z
dc.date.available2024-04-04T02:29:07Z
dc.date.issued2008
dc.date.conference2008-06
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190148
dc.description.abstractEnWe point out a simple 2D formula to reconstruct the discrete gradient on a polygon from the values given at the vertices. Together with a finite volume kind divergence reconstruction, this discrete gradient can be used for discretization of various PDEs, such as fully nonlinear (or linear anisotropic) diffusion problems, starting from rather general meshes. Its key advantage is the discrete integration-by-parts formula, known as the discrete duality property. Our approach allows us to preserve the crucial properties of the continuous diffusion operators (such as the monotonicity, the coercivity, the variational structure) at the discrete level. Further, we apply the same formula in the context of 3D “double” schemes, in the spirit of [Hermeline 98, 07] and [Domelevo, Omnes 05]; we give the associated discrete duality formula. In the case of meshes with the orthogonality condition, we also give a discrete entropy dissipation formula. As an example, we obtain convergence of “double” finite volume discretizations to the entropy solution of a model doubly nonlinear hyperbolic-parabolic equation.
dc.language.isoen
dc.publisherISTE, London; John Wiley & Sons
dc.source.titleFinite Volumes for Complex Applications V
dc.subject.enFinite volume approximation
dc.subject.enDiscrete gradient
dc.subject.enDiscrete duality
dc.subject.enDDFV
dc.subject.enConsistency
dc.subject.enDimension three
dc.subject.enAnisotropic elliptic problems
dc.subject.enGeneral mesh
dc.title.enA gradient reconstruction formula for finite volume schemes and discrete duality
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.pagepp. 161-168
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleFinite volumes for complex applications V
bordeaux.countryFR
bordeaux.title.proceedingFinite Volumes for Complex Applications V
bordeaux.conference.cityAussois
bordeaux.peerReviewedoui
hal.identifierhal-00475877
hal.version1
hal.invitednon
hal.proceedingsoui
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00475877v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Finite%20Volumes%20for%20Complex%20Applications%20V&rft.date=2008&rft.spage=pp.%20161-168&rft.epage=pp.%20161-168&rft.au=ANDREIANOV,%20Boris&BENDAHMANE,%20Mostafa&KARLSEN,%20Kenneth%20Hvistendahl&rft.genre=unknown


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem