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ORCIDThéophile Chaumont-Frelet
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2020 – today
- 2024
[j16]Théophile Chaumont-Frelet, Victorita Dolean, Maxime Ingremeau:
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. Numerische Mathematik 156(4): 1385-1426 (2024)- [j15]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): 400-421 (2024) - [i28]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 abs/2401.16413 (2024) - [i27]Théophile Chaumont-Frelet:
Asymptotically constant-free and polynomial-degree-robust a posteriori error estimates for time-harmonic Maxwell's equations. CoRR abs/2402.17309 (2024) - [i26]Théophile Chaumont-Frelet, Alexandre Ern:
Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions. CoRR abs/2403.12954 (2024) - [i25]Théophile Chaumont-Frelet, Joscha Gedicke, Lorenzo Mascotto:
Generalised gradients for virtual elements and applications to a posteriori error analysis. CoRR abs/2408.03148 (2024) - [i24]Théophile Chaumont-Frelet, Jeffrey Galkowski, Euan A. Spence:
Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations. CoRR abs/2408.04507 (2024) - 2023
- [j14]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): 899-916 (2023) - [j13]Axel Modave, Théophile Chaumont-Frelet:
A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems. J. Comput. Phys. 493: 112459 (2023) - [j12]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): 2413-2437 (2023) - [j11]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): 1783-1818 (2023) - [j10]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) - [i23]Théophile Chaumont-Frelet:
An equilibrated estimator for mixed finite element discretizations of the curl-curl problem. CoRR abs/2308.02008 (2023) - [i22]Théophile Chaumont-Frelet, Alexandre Ern:
Asymptotic optimality of the edge finite element approximation of the time-harmonic Maxwell's equations. CoRR abs/2309.14189 (2023) - 2022
- [j9]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): 37-74 (2022) - [j8]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): 1774-1798 (2022) - [j7]Théophile Chaumont-Frelet, Marcus J. Grote, Stéphane Lanteri, Jet Hoe Tang:
A Controllability Method for Maxwell's Equations. SIAM J. Sci. Comput. 44(5): 3700- (2022) - [i21]Théophile Chaumont-Frelet:
Asymptotically constant-free and polynomial-degree-robust a posteriori estimates for space discretizations of the wave equation. CoRR abs/2205.13939 (2022) - [i20]Théophile Chaumont-Frelet, Padtrick Vega:
Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell's equations. CoRR abs/2208.01475 (2022) - [i19]Théophile Chaumont-Frelet, Victorita Dolean, Maxime Ingremeau:
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. CoRR abs/2208.04851 (2022) - [i18]Théophile Chaumont-Frelet, Maxime Ingremeau:
Decay of coefficients and approximation rates in Gabor Gaussian frames. CoRR abs/2208.04853 (2022) - [i17]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 abs/2208.05870 (2022) - [i16]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 abs/2208.14701 (2022) - [i15]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 abs/2209.03601 (2022) - [i14]Théophile Chaumont-Frelet, Martin Vohralík:
A stable local commuting projector and optimal hp approximation estimates in H(curl). CoRR abs/2210.09701 (2022) - [i13]Axel Modave, Théophile Chaumont-Frelet:
A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems. CoRR abs/2212.11529 (2022) - 2021
- [j6]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): 525-573 (2021) - [i12]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 abs/2103.05539 (2021) - [i11]Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík:
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. CoRR abs/2105.01376 (2021) - [i10]Théophile Chaumont-Frelet, Padtrick Vega:
Frequency-explicit approximability estimates for time-harmonic Maxwell's equations. CoRR abs/2105.03393 (2021) - [i9]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 abs/2105.07770 (2021) - [i8]Théophile Chaumont-Frelet, Alexandre Ern, Simon Lemaire, Frédéric Valentin:
Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods. CoRR abs/2106.01693 (2021) - [i7]Théophile Chaumont-Frelet, Marcus J. Grote, Stéphane Lanteri, Jet Hoe Tang:
A controllability method for Maxwell's equations. CoRR abs/2106.02858 (2021) - [i6]Théophile Chaumont-Frelet:
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem. CoRR abs/2108.07552 (2021) - 2020
- [j5]Théophile Chaumont-Frelet, Frédéric Valentin:
A Multiscale Hybrid-Mixed Method for the Helmholtz Equation in Heterogeneous Domains. SIAM J. Numer. Anal. 58(2): 1029-1067 (2020) - [i5]Théophile Chaumont-Frelet, Barbara Verfürth:
A generalized finite element method for problems with sign-changing coefficients. CoRR abs/2002.10818 (2020) - [i4]Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík:
Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron. CoRR abs/2005.14528 (2020) - [i3]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 abs/2005.14537 (2020) - [i2]Théophile Chaumont-Frelet, Padtrick Vega:
Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations. CoRR abs/2009.09204 (2020) - [i1]G. Nehmetallah, Théophile Chaumont-Frelet, Stéphane Descombes, Stéphane Lanteri:
A postprocessing technique for a discontinuous Galerkin discretization of time-dependent Maxwell's equations. CoRR abs/2010.01394 (2020)
2010 – 2019
- 2018
- [j4]Théophile Chaumont-Frelet, Serge Nicaise, David Pardo:
Finite Element Approximation of Electromagnetic Fields Using Nonfitting Meshes for Geophysics. SIAM J. Numer. Anal. 56(4): 2288-2321 (2018) - 2017
- [j3]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): 2129-2157 (2017) - 2016
- [j2]Théophile Chaumont-Frelet:
On high order methods for the heterogeneous Helmholtz equation. Comput. Math. Appl. 72(9): 2203-2225 (2016) - 2013
- [j1]Helene Barucq, Théophile Chaumont-Frelet, Julien Diaz, Victor Péron:
Upscaling for the Laplace problem using a discontinuous Galerkin method. J. Comput. Appl. Math. 240: 192-203 (2013)
Coauthor Index
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