Upscaling for the Laplace problem using a discontinuous Galerkin method. - Helene Barucq; Théophile Chaumont-Frelet; Julien Diaz; Victor Péron (J. Comput. Appl. Math., 2013)

On high order methods for the heterogeneous Helmholtz equation. - Théophile Chaumont-Frelet (Comput. Math. Appl., 2016)

Stability analysis of heterogeneous Helmholtz problems and finite element solution based on propagation media approximation. - Hélène Barucq; Théophile Chaumont-Frelet; Christian Gout (Math. Comput., 2017)

Finite Element Approximation of Electromagnetic Fields Using Nonfitting Meshes for Geophysics. - Théophile Chaumont-Frelet; Serge Nicaise; David Pardo (SIAM J. Numer. Anal., 2018)

A generalized finite element method for problems with sign-changing coefficients. - Théophile Chaumont-Frelet; Barbara Verfürth (CoRR, 2020)

Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron. - Théophile Chaumont-Frelet; Alexandre Ern; Martin Vohralík (CoRR, 2020)

Stable broken H(curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations. - Théophile Chaumont-Frelet; Alexandre Ern; Martin Vohralík (CoRR, 2020)

Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations. - Théophile Chaumont-Frelet; Padtrick Vega (CoRR, 2020)

A postprocessing technique for a discontinuous Galerkin discretization of time-dependent Maxwell's equations. - G. Nehmetallah; Théophile Chaumont-Frelet; Stéphane Descombes; Stéphane Lanteri (CoRR, 2020)

A Multiscale Hybrid-Mixed Method for the Helmholtz Equation in Heterogeneous Domains. - Théophile Chaumont-Frelet; Frédéric Valentin (SIAM J. Numer. Anal., 2020)

A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model. - Théophile Chaumont-Frelet; Stéphane Lanteri; Padtrick Vega (CoRR, 2021)

Frequency-explicit approximability estimates for time-harmonic Maxwell's equations. - Théophile Chaumont-Frelet; Padtrick Vega (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. - Théophile Chaumont-Frelet; Martin Vohralík (CoRR, 2021)

Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods. - Théophile Chaumont-Frelet; Alexandre Ern; Simon Lemaire; Frédéric Valentin (CoRR, 2021)

On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. - Théophile Chaumont-Frelet; Alexandre Ern; Martin Vohralík (Numerische Mathematik, 2021)

Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell's equations. - Théophile Chaumont-Frelet; Padtrick Vega (CoRR, 2022)

Decay of coefficients and approximation rates in Gabor Gaussian frames. - Théophile Chaumont-Frelet; Maxime Ingremeau (CoRR, 2022)

Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex. - Théophile Chaumont-Frelet; Martin Vohralík (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. - Théophile Chaumont-Frelet (CoRR, 2022)

A stable local commuting projector and optimal hp approximation estimates in H(curl). - Théophile Chaumont-Frelet; Martin Vohralík (CoRR, 2022)

Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem. - Théophile Chaumont-Frelet; Alexandre Ern; Martin Vohralík (Math. Comput., 2022)

Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations. - Théophile Chaumont-Frelet; Patrick Vega (SIAM J. Numer. Anal., 2022)

A Controllability Method for Maxwell's Equations. - Théophile Chaumont-Frelet; Marcus J. Grote; Stéphane Lanteri; Jet Hoe Tang (SIAM J. Sci. Comput., 2022)

An equilibrated estimator for mixed finite element discretizations of the curl-curl problem. - Théophile Chaumont-Frelet (CoRR, 2023)

Asymptotic optimality of the edge finite element approximation of the time-harmonic Maxwell's equations. - Théophile Chaumont-Frelet; Alexandre Ern (CoRR, 2023)

A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem. - Théophile Chaumont-Frelet (Math. Comput., 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. - Théophile Chaumont-Frelet; Martin Vohralík (SIAM J. Numer. Anal., 2023)

Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation. - Théophile Chaumont-Frelet (SIAM J. Sci. Comput., 2023)

An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation. - Théophile Chaumont-Frelet; Serge Nicaise (Comput. Methods Appl. Math., 2023)

A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems. - Axel Modave; Théophile Chaumont-Frelet (J. Comput. Phys., 2023)

The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains. - Théophile Chaumont-Frelet; Euan A. Spence (CoRR, 2024)

Asymptotically constant-free and polynomial-degree-robust a posteriori error estimates for time-harmonic Maxwell's equations. - Théophile Chaumont-Frelet (CoRR, 2024)

Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions. - Théophile Chaumont-Frelet; Alexandre Ern (CoRR, 2024)

Generalised gradients for virtual elements and applications to a posteriori error analysis. - Théophile Chaumont-Frelet; Joscha Gedicke; Lorenzo Mascotto (CoRR, 2024)

Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations. - Théophile Chaumont-Frelet; Jeffrey Galkowski; Euan A. Spence (CoRR, 2024)

A priori and a posteriori analysis of the discontinuous Galerkin approximation of the time-harmonic Maxwell's equations under minimal regularity assumptions. - Théophile Chaumont-Frelet; Alexandre Ern (CoRR, 2024)

Wavenumber-explicit stability and convergence analysis of ℎ𝑝 finite element discretizations of Helmholtz problems in piecewise smooth media. - Maximilian Bernkopf; Théophile Chaumont-Frelet; Jens Markus Melenk (Math. Comput., 2024)

Frequency-Explicit A Posteriori Error Estimates for Discontinuous Galerkin Discretizations of Maxwell's Equations. - Théophile Chaumont-Frelet; Patrick Vega (SIAM J. Numer. Anal., 2024)

Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. - Théophile Chaumont-Frelet; Victorita Dolean; Maxime Ingremeau (Numerische Mathematik, 2024)

A stable local commuting projector and optimal hp approximation estimates in $ varvec{H}( textrm{curl})$. - Théophile Chaumont-Frelet; Martin Vohralík (Numerische Mathematik, 2024)

A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic acoustic problems in heterogeneous media. - Simone Pescuma; Gwénaël Gabard; Théophile Chaumont-Frelet; Axel Modave (J. Comput. Phys., 2025)

Adaptive boundary element methods for regularized combined field integral equations. - Théophile Chaumont-Frelet; Gregor Gantner (CoRR, 2025)

A posteriori error estimates for the finite element discretization of second-order PDEs set in unbounded domains. - Théophile Chaumont-Frelet (CoRR, 2025)

A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic electromagnetic problems. - Ari E. Rappaport; Théophile Chaumont-Frelet; Axel Modave (CoRR, 2025)

The pollution effect for the Ginzburg-Landau equation. - Théophile Chaumont-Frelet; Patrick Henning (CoRR, 2025)

A new family of a posteriori error estimates for non-conforming finite element methods leading to stabilization-free error bounds. - Théophile Chaumont-Frelet (CoRR, 2025)

A generalized Hessian-based error estimator for an IPDG formulation of the biharmonic problem in two dimensions. - Théophile Chaumont-Frelet; Joscha Gedicke; Lorenzo Mascotto (CoRR, 2025)

A quasi-interpolation operator yielding fully computable error bounds. - Théophile Chaumont-Frelet; Martin Vohralík (CoRR, 2025)