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08/03/2023
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem
We propose a new a posteriori error estimator for mixed finite element d...
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12/22/2022
A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems
A new hybridizable discontinuous Galerkin method, named the CHDG method,...
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09/08/2022
Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media
We present a wavenumber-explicit convergence analysis of the hp finite e...
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08/31/2022
Duality analysis of interior penalty discontinuous Galerkin methods under minimal regularity and application to the a priori and a posteriori error analysis of Helmholtz proble
We consider interior penalty discontinuous Galerkin discretizations of t...
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08/11/2022
Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex
We analyze constrained and unconstrained minimization problems on patche...
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08/09/2022
Decay of coefficients and approximation rates in Gabor Gaussian frames
Gabor frames are a standard tool to decompose functions into a discrete ...
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08/09/2022
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states
We introduce new finite-dimensional spaces specifically designed to appr...
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08/02/2022
Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell's equations
We propose a new residual-based a posteriori error estimator for discont...
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05/27/2022
Asymptotically constant-free and polynomial-degree-robust a posteriori estimates for space discretizations of the wave equation
We derive an equilibrated a posteriori error estimator for the space (se...
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08/17/2021
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem
We introduce two a posteriori error estimators for Nédélec finite elemen...
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06/05/2021
A controllability method for Maxwell's equations
We propose a controllability method for the numerical solution of time-h...
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06/03/2021
Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods
We establish the equivalence between the Multiscale Hybrid-Mixed (MHM) a...
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05/07/2021
Frequency-explicit approximability estimates for time-harmonic Maxwell's equations
We consider time-harmonic Maxwell's equations set in an heterogeneous me...
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05/04/2021
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation
We propose a novel a posteriori error estimator for conforming finite el...
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03/09/2021
A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model
We consider finite element discretizations of Maxwell's equations couple...
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10/03/2020
A postprocessing technique for a discontinuous Galerkin discretization of time-dependent Maxwell's equations
We present a novel postprocessing technique for a discontinuous Galerkin...
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09/19/2020