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http://hdl.handle.net/1942/36686
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DC Field | Value | Language |
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dc.contributor.author | Cancès, Clément | - |
dc.contributor.author | Droniou, Jérôme | - |
dc.contributor.author | Guichard, Cindy | - |
dc.contributor.author | Manzini, Gianmarco | - |
dc.contributor.author | BASTIDAS OLIVARES, Manuela | - |
dc.contributor.author | POP, Sorin | - |
dc.date.accessioned | 2022-02-21T13:43:18Z | - |
dc.date.available | 2022-02-21T13:43:18Z | - |
dc.date.issued | 2021 | - |
dc.date.submitted | 2022-02-11T17:53:25Z | - |
dc.identifier.citation | Di Pietro, Daniele; Formaggia , Luca; Masson, Roland (Ed.). Polyhedral Methods in Geosciences, Springer, p. 37 -72 | - |
dc.identifier.isbn | 9783030693626 | - |
dc.identifier.isbn | 9783030693633 | - |
dc.identifier.issn | 2199-3041 | - |
dc.identifier.issn | 2199-305X | - |
dc.identifier.uri | http://hdl.handle.net/1942/36686 | - |
dc.description.abstract | The 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.sponsorship | Labex 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.iso | en | - |
dc.publisher | Springer | - |
dc.relation.ispartofseries | SEMA SIMAI Springer Series | - |
dc.subject.other | Gradient discretisation method | - |
dc.subject.other | Porous medium equation | - |
dc.subject.other | Slow diffusion | - |
dc.subject.other | Fast diffusion | - |
dc.subject.other | Error estimates | - |
dc.subject.other | Numerical tests | - |
dc.subject.other | Hybrid mimetic mixed method | - |
dc.subject.other | Virtual element method | - |
dc.subject.other | Vertex approximate gradient method | - |
dc.subject.other | Discontinuous Galerkin method | - |
dc.subject.other | Polytopal methods | - |
dc.title | Error Estimates for the Gradient Discretisation Method on Degenerate Parabolic Equations of Porous Medium Type | - |
dc.type | Book Section | - |
dc.relation.edition | 1 | - |
local.bibliographicCitation.authors | Di Pietro, Daniele | - |
local.bibliographicCitation.authors | Formaggia , Luca | - |
local.bibliographicCitation.authors | Masson, Roland | - |
dc.identifier.epage | 72 | - |
dc.identifier.spage | 37 | - |
dc.identifier.volume | 27 | - |
local.bibliographicCitation.jcat | B2 | - |
local.publisher.place | Cham | - |
local.type.refereed | Refereed | - |
local.type.specified | Book Section | - |
local.relation.ispartofseriesnr | 27 | - |
local.type.programme | H2020 | - |
local.relation.h2020 | 694515 | - |
dc.identifier.doi | 10.1007/978-3-030-69363-3_2 | - |
dc.identifier.eissn | 2199-305X | - |
local.provider.type | - | |
local.bibliographicCitation.btitle | Polyhedral Methods in Geosciences | - |
local.uhasselt.uhpub | yes | - |
local.uhasselt.international | yes | - |
item.fullcitation | Cancès, 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.fulltext | With Fulltext | - |
item.validation | vabb 2024 | - |
item.contributor | Cancès, Clément | - |
item.contributor | Droniou, Jérôme | - |
item.contributor | Guichard, Cindy | - |
item.contributor | Manzini, Gianmarco | - |
item.contributor | BASTIDAS OLIVARES, Manuela | - |
item.contributor | POP, Sorin | - |
item.accessRights | Restricted Access | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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Chapter_ErrorEstimatesGDM.pdf Restricted Access | Published version | 1.16 MB | Adobe PDF | View/Open Request a copy |
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