4 papers
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…
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…
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,…
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…