Théophile Chaumont-Frelet

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 41

Top Topics

Convergence Analysis

Error Estimates

Top Venues

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Théophile Chaumont-Frelet, Victorita Dolean, Maxime Ingremeau
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. Numerische Mathematik 156 (4) (2024)
Théophile Chaumont-Frelet, Alexandre Ern
Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions. CoRR (2024)
Théophile Chaumont-Frelet
Asymptotically constant-free and polynomial-degree-robust a posteriori error estimates for time-harmonic Maxwell's equations. CoRR (2024)
Théophile Chaumont-Frelet, Euan A. Spence
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)
Théophile Chaumont-Frelet, Patrick Vega
Frequency-Explicit A Posteriori Error Estimates for Discontinuous Galerkin Discretizations of Maxwell's Equations. SIAM J. Numer. Anal. 62 (1) (2024)
Théophile Chaumont-Frelet
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem. CoRR (2023)
Axel Modave, Théophile Chaumont-Frelet
A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems. J. Comput. Phys. 493 (2023)
Théophile Chaumont-Frelet
Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation. SIAM J. Sci. Comput. 45 (4) (2023)
Théophile Chaumont-Frelet
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem. Math. Comput. 92 (344) (2023)
Théophile Chaumont-Frelet, Serge Nicaise
An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation. Comput. Methods Appl. Math. 23 (4) (2023)
Théophile Chaumont-Frelet, Alexandre Ern
Asymptotic optimality of the edge finite element approximation of the time-harmonic Maxwell's equations. CoRR (2023)
Théophile Chaumont-Frelet, Martin Vohralík
\(p\) -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. 61 (4) (2023)
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. CoRR (2022)
Théophile Chaumont-Frelet, Martin Vohralík
A stable local commuting projector and optimal hp approximation estimates in H(curl). CoRR (2022)
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem. Math. Comput. 91 (333) (2022)
Théophile Chaumont-Frelet, Victorita Dolean, Maxime Ingremeau
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. CoRR (2022)
Théophile Chaumont-Frelet
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)
Théophile Chaumont-Frelet, Patrick Vega
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations. SIAM J. Numer. Anal. 60 (4) (2022)
Axel Modave, Théophile Chaumont-Frelet
A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems. CoRR (2022)
Théophile Chaumont-Frelet
Asymptotically constant-free and polynomial-degree-robust a posteriori estimates for space discretizations of the wave equation. CoRR (2022)
Théophile Chaumont-Frelet, Padtrick Vega
Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell's equations. CoRR (2022)
Théophile Chaumont-Frelet, Martin Vohralík
Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex. CoRR (2022)
Théophile Chaumont-Frelet, Maxime Ingremeau
Decay of coefficients and approximation rates in Gabor Gaussian frames. CoRR (2022)
Théophile Chaumont-Frelet, M. J. Grote, Stéphane Lanteri, J. H. Tang
A Controllability Method for Maxwell's Equations. SIAM J. Sci. Comput. 44 (5) (2022)
Théophile Chaumont-Frelet, Alexandre Ern, Simon Lemaire, Frédéric Valentin
Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods. CoRR (2021)
Théophile Chaumont-Frelet, Stéphane Lanteri, Padtrick Vega
A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model. CoRR (2021)
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. CoRR (2021)
Théophile Chaumont-Frelet, M. J. Grote, Stéphane Lanteri, J. H. Tang
A controllability method for Maxwell's equations. CoRR (2021)
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. Numerische Mathematik 148 (3) (2021)
Théophile Chaumont-Frelet, Martin Vohralík
$p$-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)
Théophile Chaumont-Frelet, Padtrick Vega
Frequency-explicit approximability estimates for time-harmonic Maxwell's equations. CoRR (2021)
Théophile Chaumont-Frelet
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem. CoRR (2021)
Théophile Chaumont-Frelet, Frédéric Valentin
A Multiscale Hybrid-Mixed Method for the Helmholtz Equation in Heterogeneous Domains. SIAM J. Numer. Anal. 58 (2) (2020)
Théophile Chaumont-Frelet, Barbara Verfürth
A generalized finite element method for problems with sign-changing coefficients. CoRR (2020)
G. Nehmetallah, Théophile Chaumont-Frelet, Stéphane Descombes, Stéphane Lanteri
A postprocessing technique for a discontinuous Galerkin discretization of time-dependent Maxwell's equations. CoRR (2020)
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron. CoRR (2020)
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
Stable broken H(curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations. CoRR (2020)
Théophile Chaumont-Frelet, Padtrick Vega
Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations. CoRR (2020)
Théophile Chaumont-Frelet, Serge Nicaise, David Pardo
Finite Element Approximation of Electromagnetic Fields Using Nonfitting Meshes for Geophysics. SIAM J. Numer. Anal. 56 (4) (2018)
Hélène Barucq, Théophile Chaumont-Frelet, Christian Gout
Stability analysis of heterogeneous Helmholtz problems and finite element solution based on propagation media approximation. Math. Comput. 86 (307) (2017)
Théophile Chaumont-Frelet
On high order methods for the heterogeneous Helmholtz equation. Comput. Math. Appl. 72 (9) (2016)
Helene Barucq, Théophile Chaumont-Frelet, Julien Diaz, Victor Péron
Upscaling for the Laplace problem using a discontinuous Galerkin method. J. Comput. Appl. Math. 240 (2013)