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HDG and HDG+ methods for harmonic wave problems with convection

 Hélène Barucq , Nathan Rouxelin , Sébastien Tordeux
[Research Report] RR-9410, Inria Bordeaux - Sud-Ouest; LMAP UMR CNRS 5142; Université de Pau et des Pays de l'Adour (UPPA), Pau, FRA. 2021
Rapport hal-03253415v1
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Construction and analysis of a HDG solution for the total-flux-formulation of the convected Helmholtz equation

 Hélène Barucq , Nathan Rouxelin , Sébastien Tordeux
Mathematics of Computation, In press, pp.34. ⟨10.1090/mcom/3850⟩
Article dans une revue hal-04006555v1

Conditions aux Limites Absorbantes d'ordre faible pour l'équation de Helmholtz convectée

 Nathan Rouxelin , Hélène Barucq , Sébastien Tordeux
45ème Congrès d'Analyse Numérique, Jun 2022, Évian-les-bains, France
Communication dans un congrès hal-03927568v1

Low-order Absorbing Boundary Conditions in HDG discretization of the convected Helmholtz equation

 Nathan Rouxelin , Hélène Barucq , Sébastien Tordeux
Waves 2022 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jul 2022, Palaiseau, France, Jul 2022, Palaiseau, France
Communication dans un congrès hal-03883653v1
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Construction and analysis of a HDG+ method for the diffusive-flux formulation of the convected Helmholtz equation

 Hélène Barucq , Nathan Rouxelin , Sébastien Tordeux
2023
Pré-publication, Document de travail hal-04160700v1
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Convergence analysis of HDG formulations for the convected Helmholtz equation

 Nathan Rouxelin , Hélène Barucq , Sébastien Tordeux
ICOSAHOM 2021 – International conference on spectral and high-order methods 2021, Apr 2021, Vienna (Online), Austria
Communication dans un congrès hal-03529621v1
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Low-order Prandtl-Glauert-Lorentz based Absorbing Boundary Conditions for solving the convected Helmholtz equation with Discontinuous Galerkin methods

 Hélène Barucq , Nathan Rouxelin , Sébastien Tordeux
Journal of Computational Physics, 2022, 468, ⟨10.1016/j.jcp.2022.111450⟩
Article dans une revue hal-03288930v2
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Numerical simulation of aeroacoustic wave propagation in the Sun

 Nathan Rouxelin , Hélène Barucq , Sébastien Tordeux
WCCM ECCOMAS 2020 - 14th World Congress on Computational Mechanics, Jan 2021, Paris (online), France
Communication dans un congrès hal-03529609v1

A HDG Framework For Convected Wave Equations. Applications In Heliosesimology.

 Nathan Rouxelin , Hélène Barucq , Sébastien Tordeux
Computational Methods in Applied Mathematics, Aug 2022, Vienna, Austria
Communication dans un congrès hal-03927545v1
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