Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/36686
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dc.contributor.authorCancès, Clément-
dc.contributor.authorDroniou, Jérôme-
dc.contributor.authorGuichard, Cindy-
dc.contributor.authorManzini, Gianmarco-
dc.contributor.authorBASTIDAS OLIVARES, Manuela-
dc.contributor.authorPOP, Sorin-
dc.date.accessioned2022-02-21T13:43:18Z-
dc.date.available2022-02-21T13:43:18Z-
dc.date.issued2021-
dc.date.submitted2022-02-11T17:53:25Z-
dc.identifier.citationDi Pietro, Daniele; Formaggia , Luca; Masson, Roland (Ed.). Polyhedral Methods in Geosciences, Springer, p. 37 -72-
dc.identifier.isbn9783030693626-
dc.identifier.isbn9783030693633-
dc.identifier.issn2199-3041-
dc.identifier.issn2199-305X-
dc.identifier.urihttp://hdl.handle.net/1942/36686-
dc.description.abstractThe gradient discretisation method (GDM) is a generic framework for the spatial discretisation of partial differential equations. The goal of this contribution is to establish an error estimate for a class of degenerate parabolic problems, obtained under very mild regularity assumptions on the exact solution. Our study covers well-known models like the porous medium equation and the fast diffusion equations, as well as the strongly degenerate Stefan problem. Several schemes are then compared in a last section devoted to numerical results.-
dc.description.sponsorshipLabex CEMPI (ANR-11-LABX-0007-01 Australian Research Council’s Discovery Projects funding scheme (project DP170100605) European Research Council (ERC) Project CHANGE, grant agreement No 694515 Research Foundation-Flanders (FWO), Odysseus programme project G0G1316N-
dc.language.isoen-
dc.publisherSpringer-
dc.relation.ispartofseriesSEMA SIMAI Springer Series-
dc.subject.otherGradient discretisation method-
dc.subject.otherPorous medium equation-
dc.subject.otherSlow diffusion-
dc.subject.otherFast diffusion-
dc.subject.otherError estimates-
dc.subject.otherNumerical tests-
dc.subject.otherHybrid mimetic mixed method-
dc.subject.otherVirtual element method-
dc.subject.otherVertex approximate gradient method-
dc.subject.otherDiscontinuous Galerkin method-
dc.subject.otherPolytopal methods-
dc.titleError Estimates for the Gradient Discretisation Method on Degenerate Parabolic Equations of Porous Medium Type-
dc.typeBook Section-
dc.relation.edition1-
local.bibliographicCitation.authorsDi Pietro, Daniele-
local.bibliographicCitation.authorsFormaggia , Luca-
local.bibliographicCitation.authorsMasson, Roland-
dc.identifier.epage72-
dc.identifier.spage37-
dc.identifier.volume27-
local.bibliographicCitation.jcatB2-
local.publisher.placeCham-
local.type.refereedRefereed-
local.type.specifiedBook Section-
local.relation.ispartofseriesnr27-
local.type.programmeH2020-
local.relation.h2020694515-
dc.identifier.doi10.1007/978-3-030-69363-3_2-
dc.identifier.eissn2199-305X-
local.provider.typePdf-
local.bibliographicCitation.btitlePolyhedral Methods in Geosciences-
local.uhasselt.uhpubyes-
local.uhasselt.internationalyes-
item.fullcitationCancès, Clément; Droniou, Jérôme; Guichard, Cindy; Manzini, Gianmarco; BASTIDAS OLIVARES, Manuela & POP, Sorin (2021) Error Estimates for the Gradient Discretisation Method on Degenerate Parabolic Equations of Porous Medium Type. In: Di Pietro, Daniele; Formaggia , Luca; Masson, Roland (Ed.). Polyhedral Methods in Geosciences, Springer, p. 37 -72.-
item.validationvabb 2024-
item.fulltextWith Fulltext-
item.accessRightsRestricted Access-
item.contributorCancès, Clément-
item.contributorDroniou, Jérôme-
item.contributorGuichard, Cindy-
item.contributorManzini, Gianmarco-
item.contributorBASTIDAS OLIVARES, Manuela-
item.contributorPOP, Sorin-
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