Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation

Author:

Barucq Hélène,Rouxelin Nathan,Tordeux Sébastien

Abstract

We introduce a hybridizable discontinuous Galerkin (HDG) method for the convected Helmholtz equation based on the total flux formulation, in which the vector unknown represents both diffusive and convective phenomena. This HDG method is constricted with the same interpolation degree for all the unknowns and a physically informed value for the penalization parameter is computed. A detailed analysis including local and global well-posedness as well as a super-convergence result is carried out. We then provide numerical experiments to illustrate the theoretical results.

Funder

Université de Pau et des Pays de l'Adour

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference44 articles.

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