Théophile Chaumont-Frelet

65 papers Journal 65

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Constrained and Unconstrained Stable Discrete Minimizations for p-Robust Local Reconstructions in Vertex Patches in the de Rham Complex. Found. Comput. Math. Théophile Chaumont-Frelet, Martin Vohralík
2026	J	`jnl`	Flux approximation on unfitted meshes and application to multiscale hybrid-mixed methods. Comput. Math. Appl. Théophile Chaumont-Frelet, Diego Paredes, Frédéric Valentin
2026	J	`jnl`	Guaranteed stability bounds for second-order PDE problems satisfying a Garding inequality. CoRR Théophile Chaumont-Frelet
2026	J	`jnl`	On p-robust convergence and optimality of adaptive FEM driven by equilibrated-flux estimators. CoRR Théophile Chaumont-Frelet, Zhaonan Dong, Gregor Gantner, Martin Vohralík
2026	J	`jnl`	On singular Galerkin discretizations for three models in high-frequency scattering. CoRR Théophile Chaumont-Frelet, S. Sauter
2025	J	`jnl`	A generalized Hessian-based error estimator for an IPDG formulation of the biharmonic problem in two dimensions. CoRR Théophile Chaumont-Frelet, Joscha Gedicke, Lorenzo Mascotto
2025	J	`jnl`	A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic acoustic problems in heterogeneous media. CoRR Simone Pescuma, Gwénaël Gabard, Théophile Chaumont-Frelet, Axel Modave
2025	J	`jnl`	A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic acoustic problems in heterogeneous media. J. Comput. Phys. Simone Pescuma, Gwénaël Gabard, Théophile Chaumont-Frelet, Axel Modave
2025	J	`jnl`	A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic electromagnetic problems. CoRR Ari E. Rappaport, Théophile Chaumont-Frelet, Axel Modave
2025	J	`jnl`	A new family of a posteriori error estimates for non-conforming finite element methods leading to stabilization-free error bounds. CoRR Théophile Chaumont-Frelet
2025	J	`jnl`	A posteriori error estimates and space-adaptive mesh refinements for time-dependent scattering problems. CoRR Théophile Chaumont-Frelet, Heiko Gimperlein, Ignacio Labarca-Figueroa, Jörg Nick
2025	J	`jnl`	A posteriori error estimates for the finite element discretization of second-order PDEs set in unbounded domains. CoRR Théophile Chaumont-Frelet
2025	J	`jnl`	A quasi-interpolation operator yielding fully computable error bounds. CoRR Théophile Chaumont-Frelet, Martin Vohralík
2025	J	`jnl`	Adaptive boundary element methods for regularized combined field integral equations. CoRR Théophile Chaumont-Frelet, Gregor Gantner
2025	J	`jnl`	Commuting quasi-interpolators and Maxwell compactness for a polytopal de Rham complex. CoRR Théophile Chaumont-Frelet, Jérôme Droniou, Simon Lemaire
2025	J	`jnl`	Computable Poincaré-Friedrichs constants for the L CoRR Théophile Chaumont-Frelet, Martin Werner Licht, Martin Vohralík
2025	J	`jnl`	Optimal convergence rates of an adaptive finite element method for unbounded domains. CoRR Théophile Chaumont-Frelet, Gregor Gantner
2025	J	`jnl`	The pollution effect for the Ginzburg-Landau equation. CoRR Théophile Chaumont-Frelet, Patrick Henning
2024	J	`jnl`	A priori and a posteriori analysis of the discontinuous Galerkin approximation of the time-harmonic Maxwell's equations under minimal regularity assumptions. CoRR Théophile Chaumont-Frelet, Alexandre Ern
2024	J	`jnl`	A stable local commuting projector and optimal hp approximation estimates in $\varvec{H}(\textrm{curl})$. Numerische Mathematik Théophile Chaumont-Frelet, Martin Vohralík
2024	J	`jnl`	Asymptotically constant-free and polynomial-degree-robust a posteriori error estimates for time-harmonic Maxwell's equations. CoRR Théophile Chaumont-Frelet
2024	J	`jnl`	Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions. CoRR Théophile Chaumont-Frelet, Alexandre Ern
2024	J	`jnl`	Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. Numerische Mathematik Théophile Chaumont-Frelet, Victorita Dolean, Maxime Ingremeau
2024	J	`jnl`	Frequency-Explicit A Posteriori Error Estimates for Discontinuous Galerkin Discretizations of Maxwell's Equations. SIAM J. Numer. Anal. Théophile Chaumont-Frelet, Patrick Vega
2024	J	`jnl`	Generalised gradients for virtual elements and applications to a posteriori error analysis. CoRR Théophile Chaumont-Frelet, Joscha Gedicke, Lorenzo Mascotto
2024	J	`jnl`	Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations. CoRR Théophile Chaumont-Frelet, Jeffrey Galkowski, Euan A. Spence
2024	J	`jnl`	The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains. CoRR Théophile Chaumont-Frelet, Euan A. Spence
2024	J	`jnl`	Wavenumber-explicit stability and convergence analysis of ℎ𝑝 finite element discretizations of Helmholtz problems in piecewise smooth media. Math. Comput. Maximilian Bernkopf, Théophile Chaumont-Frelet, Jens Markus Melenk
2023	J	`jnl`	A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems. J. Comput. Phys. Axel Modave, Théophile Chaumont-Frelet
2023	J	`jnl`	A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem. Math. Comput. Théophile Chaumont-Frelet
2023	J	`jnl`	An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation. Comput. Methods Appl. Math. Théophile Chaumont-Frelet, Serge Nicaise
2023	J	`jnl`	An equilibrated estimator for mixed finite element discretizations of the curl-curl problem. CoRR Théophile Chaumont-Frelet
2023	J	`jnl`	Asymptotic optimality of the edge finite element approximation of the time-harmonic Maxwell's equations. CoRR Théophile Chaumont-Frelet, Alexandre Ern
2023	J	`jnl`	Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation. SIAM J. Sci. Comput. Théophile Chaumont-Frelet
2023	J	`jnl`	$p$ -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. Théophile Chaumont-Frelet, Martin Vohralík
2022	J	`jnl`	A Controllability Method for Maxwell's Equations. SIAM J. Sci. Comput. Théophile Chaumont-Frelet, Marcus J. Grote, Stéphane Lanteri, Jet Hoe Tang
2022	J	`jnl`	A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems. CoRR Axel Modave, Théophile Chaumont-Frelet
2022	J	`jnl`	A stable local commuting projector and optimal hp approximation estimates in H(curl). CoRR Théophile Chaumont-Frelet, Martin Vohralík
2022	J	`jnl`	Asymptotically constant-free and polynomial-degree-robust a posteriori estimates for space discretizations of the wave equation. CoRR Théophile Chaumont-Frelet
2022	J	`jnl`	Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex. CoRR Théophile Chaumont-Frelet, Martin Vohralík
2022	J	`jnl`	Decay of coefficients and approximation rates in Gabor Gaussian frames. CoRR Théophile Chaumont-Frelet, Maxime Ingremeau
2022	J	`jnl`	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 Théophile Chaumont-Frelet
2022	J	`jnl`	Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. CoRR Théophile Chaumont-Frelet, Victorita Dolean, Maxime Ingremeau
2022	J	`jnl`	Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations. SIAM J. Numer. Anal. Théophile Chaumont-Frelet, Patrick Vega
2022	J	`jnl`	Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell's equations. CoRR Théophile Chaumont-Frelet, Padtrick Vega
2022	J	`jnl`	Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem. Math. Comput. Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2022	J	`jnl`	Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media. CoRR Maximilian Bernkopf, Théophile Chaumont-Frelet, Jens Markus Melenk
2021	J	`jnl`	$p$-robust equilibrated flux reconstruction in ${\boldsymbol H}(\mathrm{curl})$ based on local minimizations. Application to a posteriori analysis of the curl-curl problem. CoRR Théophile Chaumont-Frelet, Martin Vohralík
2021	J	`jnl`	A controllability method for Maxwell's equations. CoRR Théophile Chaumont-Frelet, Marcus J. Grote, Stéphane Lanteri, Jet Hoe Tang
2021	J	`jnl`	A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model. CoRR Théophile Chaumont-Frelet, Stéphane Lanteri, Padtrick Vega
2021	J	`jnl`	A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem. CoRR Théophile Chaumont-Frelet
2021	J	`jnl`	Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods. CoRR Théophile Chaumont-Frelet, Alexandre Ern, Simon Lemaire, Frédéric Valentin
2021	J	`jnl`	Frequency-explicit approximability estimates for time-harmonic Maxwell's equations. CoRR Théophile Chaumont-Frelet, Padtrick Vega
2021	J	`jnl`	On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. CoRR Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2021	J	`jnl`	On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. Numerische Mathematik Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2020	J	`jnl`	A Multiscale Hybrid-Mixed Method for the Helmholtz Equation in Heterogeneous Domains. SIAM J. Numer. Anal. Théophile Chaumont-Frelet, Frédéric Valentin
2020	J	`jnl`	A generalized finite element method for problems with sign-changing coefficients. CoRR Théophile Chaumont-Frelet, Barbara Verfürth
2020	J	`jnl`	A postprocessing technique for a discontinuous Galerkin discretization of time-dependent Maxwell's equations. CoRR G. Nehmetallah, Théophile Chaumont-Frelet, Stéphane Descombes, Stéphane Lanteri
2020	J	`jnl`	Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations. CoRR Théophile Chaumont-Frelet, Padtrick Vega
2020	J	`jnl`	Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron. CoRR Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2020	J	`jnl`	Stable broken H(curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations. CoRR Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2018	J	`jnl`	Finite Element Approximation of Electromagnetic Fields Using Nonfitting Meshes for Geophysics. SIAM J. Numer. Anal. Théophile Chaumont-Frelet, Serge Nicaise, David Pardo
2017	J	`jnl`	Stability analysis of heterogeneous Helmholtz problems and finite element solution based on propagation media approximation. Math. Comput. Hélène Barucq, Théophile Chaumont-Frelet, Christian Gout
2016	J	`jnl`	On high order methods for the heterogeneous Helmholtz equation. Comput. Math. Appl. Théophile Chaumont-Frelet
2013	J	`jnl`	Upscaling for the Laplace problem using a discontinuous Galerkin method. J. Comput. Appl. Math. Helene Barucq, Théophile Chaumont-Frelet, Julien Diaz, Victor Péron