Théophile Chaumont-Frelet
Orcid: 0000-0002-6210-0774
According to our database1,
Théophile Chaumont-Frelet
authored at least 36 papers
between 2013 and 2024.
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Bibliography
2024
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states.
Numerische Mathematik, August, 2024
Frequency-Explicit A Posteriori Error Estimates for Discontinuous Galerkin Discretizations of Maxwell's Equations.
SIAM J. Numer. Anal., February, 2024
Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions.
CoRR, 2024
Asymptotically constant-free and polynomial-degree-robust a posteriori error estimates for time-harmonic Maxwell's equations.
CoRR, 2024
The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains.
CoRR, 2024
2023
A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems.
J. Comput. Phys., November, 2023
An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation.
Comput. Methods Appl. Math., October, 2023
Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation.
SIAM J. Sci. Comput., August, 2023
\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem.
SIAM J. Numer. Anal., August, 2023
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem.
Math. Comput., June, 2023
Asymptotic optimality of the edge finite element approximation of the time-harmonic Maxwell's equations.
CoRR, 2023
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem.
CoRR, 2023
2022
SIAM J. Sci. Comput., October, 2022
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations.
SIAM J. Numer. Anal., August, 2022
Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem.
Math. Comput., 2022
A stable local commuting projector and optimal hp approximation estimates in H(curl).
CoRR, 2022
Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media.
CoRR, 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 problems.
CoRR, 2022
Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex.
CoRR, 2022
Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell's equations.
CoRR, 2022
2021
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation.
Numerische Mathematik, 2021
CoRR, 2021
$p$-robust equilibrated flux reconstruction in ${\boldsymbol H}(\mathrm{curl})$ based on local minimizations. Application to a posteriori analysis of the curl-curl problem.
CoRR, 2021
CoRR, 2021
A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model.
CoRR, 2021
2020
A Multiscale Hybrid-Mixed Method for the Helmholtz Equation in Heterogeneous Domains.
SIAM J. Numer. Anal., 2020
A postprocessing technique for a discontinuous Galerkin discretization of time-dependent Maxwell's equations.
CoRR, 2020
Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations.
CoRR, 2020
Stable broken H(curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations.
CoRR, 2020
Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron.
CoRR, 2020
CoRR, 2020
2018
Finite Element Approximation of Electromagnetic Fields Using Nonfitting Meshes for Geophysics.
SIAM J. Numer. Anal., 2018
2017
Stability analysis of heterogeneous Helmholtz problems and finite element solution based on propagation media approximation.
Math. Comput., 2017
2016
Comput. Math. Appl., 2016
2013
J. Comput. Appl. Math., 2013