Absorbing boundary conditions for nonlinear scalar partial differential equations
| hal.structure.identifier | Laboratoire de Mathématiques Appliquées de Bordeaux [MAB] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | SZEFTEL, Jérémie | |
| dc.date.accessioned | 2024-04-04T02:42:02Z | |
| dc.date.available | 2024-04-04T02:42:02Z | |
| dc.date.issued | 2006 | |
| dc.identifier.issn | 0045-7825 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191208 | |
| dc.description.abstractEn | We present two strategies dealing with the design of absorbing boundary condi- tions for nonlinear scalar partial differential equations. The first one relies on the linearization of the equation and the second one relies on its paralinearization. We then introduce a finite volume scheme well-suited to our absorbing boundary con- ditions in the case of the semilinear wave equation. We finally present numerical experiments illustrating the efficiency of these methods in the case of semilinear | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | nonlinear scalar partial differential equations | |
| dc.subject.en | absorbing boundary conditions | |
| dc.subject.en | finite volume schemes | |
| dc.title.en | Absorbing boundary conditions for nonlinear scalar partial differential equations | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | Computer Methods in Applied Mechanics and Engineering | |
| bordeaux.page | 3760-3775 | |
| bordeaux.volume | 195 | |
| 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-00359294 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00359294v1 | |
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