Construction of simple, stable and convergent high order schemes for steady first order Hamilton Jacobi equations.
| hal.structure.identifier | Algorithms and high performance computing for grand challenge applications [SCALAPPLIX] | |
| hal.structure.identifier | Laboratoire de Mathématiques Appliquées de Bordeaux [MAB] | |
| dc.contributor.author | ABGRALL, Remi | |
| dc.date.accessioned | 2024-04-15T09:57:16Z | |
| dc.date.available | 2024-04-15T09:57:16Z | |
| dc.date.created | 2005 | |
| dc.date.issued | 2006 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/198898 | |
| dc.description.abstractEn | We develop a very simple algorithm that permits to construct compact, high order schemes for steady first order Hamilton Jacobi equations. The algorithm relies on the blending of a first order scheme and a compact high order one. The blending is conducted in such a way that the scheme is formally high order accurate. A convergence proof is given. We provide several numerical illustrations that demonstrate the effective accuracy of the scheme. The numerical examples use triangular unstructured meshes, but our method may be applied to other kind of meshes. Several implementation remarks are also given. | |
| dc.language.iso | en | |
| dc.subject | Equation de Hamilton Jacobi Approximation numerique Maillages non structures Probleme stationnaires. | |
| dc.subject | Equation de Hamilton Jacobi Approximation numerique Maillages non structures Probleme stationnaires | |
| dc.title.en | Construction of simple, stable and convergent high order schemes for steady first order Hamilton Jacobi equations. | |
| dc.type | Rapport | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.page | 34 | |
| bordeaux.hal.laboratories | Laboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.type.institution | INRIA | |
| bordeaux.type.report | rr | |
| hal.identifier | inria-00114888 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//inria-00114888v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2006&rft.spage=34&rft.epage=34&rft.au=ABGRALL,%20Remi&rft.genre=unknown |
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