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NUMERICAL RESOLUTION OF AN ANISOTROPIC NON-LINEAR DIFFUSION PROBLEM *
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BRULL, Stéphane | |
| hal.structure.identifier | Institut de Mathématiques de Toulouse UMR5219 [IMT] | |
| dc.contributor.author | DELUZET, Fabrice | |
| hal.structure.identifier | Laboratoire Paul Painlevé - UMR 8524 [LPP] | |
| dc.contributor.author | MOUTON, Alexandre | |
| dc.date.accessioned | 2024-04-04T02:56:40Z | |
| dc.date.available | 2024-04-04T02:56:40Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 1539-6746 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192486 | |
| dc.description.abstractEn | This paper is devoted to the numerical resolution of an anisotropic non-linear diffusion problem involving a small parameter ǫ, defined as the anisotropy strength reciprocal. In this work, the anisotropy is carried by a variable vector function b. The equation being supplemented with Neumann boundary conditions, the limit ǫ → 0 is demonstrated to be a singular perturbation of the original diffusion equation. To address efficiently this problem, an Asymptotic-Preserving scheme is derived. This numerical method does not require the use of coordinates adapted to the anisotropy direction and exhibits an accuracy as well as a computational cost independent of the anisotropy strength. | |
| dc.language.iso | en | |
| dc.publisher | International Press | |
| dc.subject.en | Anisotropic diffusion problems | |
| dc.subject.en | Singular perturbation | |
| dc.subject.en | Asymptotic-Preserving schemes AMS Subject Classification: 35J60 | |
| dc.subject.en | 35J62 | |
| dc.subject.en | 65M06 | |
| dc.subject.en | 65M12 | |
| dc.subject.en | 65N06 | |
| dc.subject.en | 65N12 | |
| dc.title.en | NUMERICAL RESOLUTION OF AN ANISOTROPIC NON-LINEAR DIFFUSION PROBLEM * | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | Communications in Mathematical Sciences | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02483867 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02483867v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20in%20Mathematical%20Sciences&rft.date=2015&rft.eissn=1539-6746&rft.issn=1539-6746&rft.au=BRULL,%20St%C3%A9phane&DELUZET,%20Fabrice&MOUTON,%20Alexandre&rft.genre=article |
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