Adaptive time discretization and linearization based on a posteriori estimates for the Richards equation
hal.structure.identifier | Bureau de Recherches Géologiques et Minières [BRGM] | |
hal.structure.identifier | Laboratoire de Mathématiques Jean Leray [LMJL] | |
dc.contributor.author | BARON, Vincent | |
hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | COUDIÈRE, Yves | |
hal.structure.identifier | Bureau de Recherches Géologiques et Minières [BRGM] | |
dc.contributor.author | SOCHALA, Pierre | |
dc.contributor.editor | Fuhrmann, Jürgen | |
dc.contributor.editor | Ohlberger, Mario | |
dc.contributor.editor | Rohde, Christian | |
dc.date.accessioned | 2024-04-04T02:18:24Z | |
dc.date.available | 2024-04-04T02:18:24Z | |
dc.date.created | 2014-03-10 | |
dc.date.issued | 2014-06 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189310 | |
dc.description.abstractEn | We derive some a posteriori error estimates for the Richards equation, based on the dual norm of the residual. This equation is nonlinear in space and in time, thus its resolution requires fixed-point iterations within each time step. We propose a strategy to decrease the computational cost relying on a splitting of the error terms in three parts: linearization, time discretization, and space discretization. In practice, we stop the fixed-point iterations after the linearization error becomes negligible, and choose the time step in order to balance the time and space errors. | |
dc.description.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
dc.language.iso | en | |
dc.publisher | Springer | |
dc.title.en | Adaptive time discretization and linearization based on a posteriori estimates for the Richards equation | |
dc.type | Ouvrage | |
dc.identifier.doi | 10.1007/978-3-319-05591-6_48 | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
bordeaux.page | 8 p. | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.country | FR | |
hal.identifier | hal-00983512 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Non spécifiée | |
dc.subject.it | A posteriori estimate | |
dc.subject.it | Richards equation | |
dc.subject.it | Discrete Duality Finite Volume scheme | |
dc.subject.it | adaptive algorithm | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00983512v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2014-06&rft.spage=8%20p.&rft.epage=8%20p.&rft.au=BARON,%20Vincent&COUDI%C3%88RE,%20Yves&SOCHALA,%20Pierre&rft.genre=unknown |
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