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Pré-Publication, Document De Travail Année : 2024

Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media

Résumé

We present a wavenumber-explicit convergence analysis of the hp Finite Element Method applied to a class of heterogeneous Helmholtz problems with piecewise analytic coefficients at large wavenumber k. Our analysis covers the heterogeneous Helmholtz equation with Robin, exact Dirichlet-to-Neumann, and second order absorbing boundary conditions, as well as perfectly matched layers.
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Dates et versions

hal-03771988 , version 1 (07-09-2022)
hal-03771988 , version 2 (02-02-2024)

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Identifiants

  • HAL Id : hal-03771988 , version 2

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Maximilian Bernkopf, Théophile Chaumont-Frelet, Jens Markus Melenk. Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media. 2024. ⟨hal-03771988v2⟩
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