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High order ADER-IPDG methods for the unsteady advection-diffusion equation
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| dc.contributor.author | BERGMANN, Michel | |
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Université de Bordeaux [UB] | |
| dc.contributor.author | BOUHARGUANE, Afaf | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| dc.contributor.author | IOLLO, Angelo | |
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Université de Bordeaux [UB] | |
| dc.contributor.author | TARDIEU, Alexis | |
| dc.date.accessioned | 2024-04-04T02:31:18Z | |
| dc.date.available | 2024-04-04T02:31:18Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190297 | |
| dc.description.abstractEn | We present a high-order Galerkin method in both space and time for the one-dimensional unsteady advectiondiffusion equation. Three Interior Penalty Discontinuous Galerkin (IPDG) schemes are detailed for the space discretization, while the time integration is performed at the same order of accuracy thanks to an Arbitrary high order DERivatives (ADER) method. The orders of convergence of the three ADER-IPDG methods are carefully examined through numerical illustrations, showing that the approach is consistent, accurate and efficient.The numerical results indicate that the symmetric version of IPDG is typically more accurate and more ecient compared to the other approaches. | |
| dc.language.iso | en | |
| dc.rights.uri | http://creativecommons.org/licenses/by/ | |
| dc.subject.en | Advection-diffusion | |
| dc.subject.en | Galerkin | |
| dc.subject.en | ADER approach | |
| dc.subject.en | IPDG | |
| dc.subject.en | high-order schemes | |
| dc.subject.en | empirical convergence rates | |
| dc.title.en | High order ADER-IPDG methods for the unsteady advection-diffusion equation | |
| dc.type | Document de travail - Pré-publication | |
| dc.type | Prepublication/Preprint | |
| 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-04032238 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04032238v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BERGMANN,%20Michel&BOUHARGUANE,%20Afaf&IOLLO,%20Angelo&TARDIEU,%20Alexis&rft.genre=preprint&unknown |
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