Finite element method for a space-fractional anti-diffusive equation
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| dc.contributor.author | BOUHARGUANE, Afaf | |
| dc.date.accessioned | 2024-04-04T03:14:04Z | |
| dc.date.available | 2024-04-04T03:14:04Z | |
| dc.date.issued | 2016-08-31 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194008 | |
| dc.description.abstractEn | The numerical solution of a nonlinear and space-fractional anti-diffusive equation used to model dune morphodynamics is considered. Spatial discretization is effected using a finite element method whereas the Crank-Nicolson scheme is used for temporal discretization. The fully discrete scheme is analyzed to determine stability condition and also to obtain error estimates for the approximate solution. Numerical examples are presented to illustrate convergence results. | |
| dc.language.iso | en | |
| dc.subject.en | Fractional anti-diffusive operator | |
| dc.subject.en | Finite element method | |
| dc.subject.en | Crank-Nicolson scheme | |
| dc.subject.en | Stability | |
| dc.subject.en | Error analysis | |
| dc.title.en | Finite element method for a space-fractional anti-diffusive equation | |
| dc.type | Rapport | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.identifier.arxiv | 1608.08830 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.type.institution | Institut de Mathématiques de Bordeaux | |
| bordeaux.type.institution | INRIA Bordeaux, équipe MEMPHIS | |
| bordeaux.type.report | rr | |
| hal.identifier | hal-01358184 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01358184v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2016-08-31&rft.au=BOUHARGUANE,%20Afaf&rft.genre=unknown |
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