Construction and analysis of a HDG+ method for the diffusive-flux formulation of the convected Helmholtz equation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2023

Construction and analysis of a HDG+ method for the diffusive-flux formulation of the convected Helmholtz equation

Abstract

We construct HDG methods based on the diffusive flux formulation of the convected acoustic wave equation.We mostly describe the HDG+ method which involves different polynomial degrees for approximating the unknowns, hence leading to a more efficient method with a super-convergencelike behaviour. A detailed analysis of the methods including local and global well-posedness, as well as convergence estimates is carried out. The HDG+ method is also compared with a more conventional HDG method to demonstrate its effectiveness.
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hal-04160700 , version 1 (12-07-2023)

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  • HAL Id : hal-04160700 , version 1

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Hélène Barucq, Nathan Rouxelin, Sébastien Tordeux. Construction and analysis of a HDG+ method for the diffusive-flux formulation of the convected Helmholtz equation. 2023. ⟨hal-04160700⟩
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