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A HDG method with transmission variables for time-harmonic wave propagation problems with constant coefficients
Simone Pescuma, Gwénaël Gabard, Théophile Chaumont-Frelet +1
Iterative finite element solvers for time-harmonic wave problems are notoriously slow to converge, owing to fundamental properties of these problems. We present a variant of the hy…
Preconditioning of GMRES for Helmholtz problems with quasimodes
Victorita Dolean, Pierre Marchand, Axel Modave +1
Finite element methods are effective for Helmholtz problems involving complex geometries and heterogeneous media. However, the resulting linear systems are often large, indefinite,…
Convergence analysis of GMRES applied to Helmholtz problems near resonances
Victorita Dolean, Pierre Marchand, Axel Modave +1
The finite element solution of Helmholtz problems near resonant or quasi-resonant frequencies poses significant challenges, as iterative solvers typically suffer from severely degr…
A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic acoustic problems in heterogeneous media
Simone Pescuma, Gwénaël Gabard, Théophile Chaumont-Frelet +1
We consider the finite element solution of time-harmonic wave propagation problems in heterogeneous media with hybridizable discontinuous Galerkin (HDG) methods. In the case of hom…
A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems
A. Modave, T. Chaumont-Frelet
A new hybridizable discontinuous Galerkin method, named the CHDG method, is proposed for solving time-harmonic scalar wave propagation problems. This method relies on a standard di…