Numerical approximation of Kerr-Debye equations
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | AREGBA-DRIOLLET, Denise | |
| hal.structure.identifier | Laboratoire de Mathématiques Jean Leray [LMJL] | |
| dc.contributor.author | BERTHON, Christophe | |
| dc.date.accessioned | 2024-04-04T02:49:51Z | |
| dc.date.available | 2024-04-04T02:49:51Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191855 | |
| dc.description.abstractEn | We investigate finite volume schemes for the one-dimensional Kerr-Debye model of electromagnetic propagation in nonlinear media. In this relaxation quasilinear hyperbolic system, the relaxation parameter is the response time of the media. When it tends to zero, the relaxed limit is known as the Kerr system. We show that basic explicit splitting methods fail to preserve this asymptotic. Following two different viewpoints, we construct splitting implicit and well-balanced explicit approximations which are stable, entropic and own the correct asymptotic behavior. Various numerical experiments are performed. | |
| dc.language.iso | en | |
| dc.subject.en | Finite volume methods | |
| dc.subject.en | hyperbolic problems | |
| dc.subject.en | asymptotic preserving schemes | |
| dc.subject.en | relaxation | |
| dc.subject.en | linearly degenerate | |
| dc.subject.en | well-balanced | |
| dc.subject.en | splitting | |
| dc.title.en | Numerical approximation of Kerr-Debye equations | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00293728 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00293728v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=AREGBA-DRIOLLET,%20Denise&BERTHON,%20Christophe&rft.genre=preprint |
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