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High order finite element methods for wave propagation in heterogenous media

Théophile Chaumont-Frelet , Serge Nicaise
JOSO 2019 - Journées Ondes Sud-Ouest, Mar 2019, Le Barp, France
Communication dans un congrès hal-02138517v1
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High-frequency behaviour of corner singularities in Helmholtz problems

Théophile Chaumont-Frelet , Serge Nicaise
ESAIM: Mathematical Modelling and Numerical Analysis, 2018, ⟨10.1051/m2an/2018031⟩
Article dans une revue hal-01706415v1

Helmholtz Equation in Highly Heterogeneous Media

Hélène Barucq , Henri Calandra , Théophile Chaumont-Frelet , Christian Gout
1st. Pan-American Congress on Computational Mechanics, Apr 2015, Buenos Aires, Argentina
Communication dans un congrès hal-01217469v1
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A multiscale medium approximation method for the propagation P-waves in highly heterogeneous geophysical media

Théophile Chaumont-Frelet , Hélène Barucq , Henri Calandra , Christian Gout
2018
Pré-publication, Document de travail hal-01706454v1
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Decay of coefficients and approximation rates in Gabor Gaussian frames

Théophile Chaumont-Frelet , Maxime Ingremeau
Inria. 2023
Rapport hal-03746979v3
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Mixed finite element discretizations of acoustic Helmholtz problems with high wavenumbers

Théophile Chaumont-Frelet
Article dans une revue hal-02197891v1
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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
2024
Pré-publication, Document de travail hal-04483175v1
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A stable local commuting projector and optimal hp approximation estimates in H(curl)

Théophile Chaumont-Frelet , Martin Vohralík
2023
Pré-publication, Document de travail hal-03817302v2
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Adjoint-based formulation for computing derivatives with respect to bed boundary positions in resistivity Geophysics

Théophile Chaumont-Frelet , M Shahrari , D Pardo
Computational Geosciences, 2019, ⟨10.1007/s10596-019-9808-2⟩
Article dans une revue hal-01790697v1
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Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods

Théophile Chaumont-Frelet , Alexandre Ern , Simon Lemaire , Frédéric Valentin
ESAIM: Mathematical Modelling and Numerical Analysis, 2022, 56 (1), pp.261-285. ⟨10.1051/m2an/2021082⟩
Article dans une revue hal-03235525v3
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Polynomial-degree-robust a posteriori error estimation for Maxwell's equations

Théophile Chaumont-Frelet , Alexandre Ern , Martin Vohralík
WCCM & ECCOMAS Congress 2020 - 14th World Congress in Computational Mechanics and ECCOMAS Congress, Jan 2021, Paris, France
Communication dans un congrès hal-03403840v1
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Finite element approximation of electromagnetic fields using nonfitting meshes for Geophysics

Théophile Chaumont-Frelet , Serge Nicaise , David Pardo
SIAM Journal on Numerical Analysis, 2018, 56 (4), pp.2288-2321. ⟨10.1137/16m1105566⟩
Article dans une revue hal-01706452v2
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Uniform a priori estimates for elliptic problems with impedance boundary conditions

Théophile Chaumont-Frelet , Serge Nicaise , Jérôme Tomezyk
Communications on Pure and Applied Analysis, 2020, ⟨10.3934/cpaa.2020107⟩
Article dans une revue hal-01887269v1

Image Segmentation with a Priori Conditions: Applications to Medical and Geophysical Imaging

Guzel Khayretdinova , Christian Gout , Théophile Chaumont-Frelet , Sergei Kuksenko
Mathematical and computational applications, 2022, 27 (2), pp.26. ⟨10.3390/mca27020026⟩
Article dans une revue hal-03606745v1

Helmholtz equation in Highly Heterogeneous Media

Hélène Barucq , Henri Calandra , Théophile Chaumont-Frelet , Christian Gout
11th World Congress on Computational Mechanics, Eccomas, Jul 2014, Barcelone, Spain
Communication dans un congrès hal-01100492v1
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Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems

Théophile Chaumont-Frelet , Serge Nicaise
IMA Journal of Numerical Analysis, 2019, ⟨10.1093/imanum/drz020⟩
Article dans une revue hal-01685388v2
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Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods

Théophile Chaumont-Frelet , Alexandre Ern , Simon Lemaire , Frédéric Valentin
GS21 - SIAM Conference on Mathematical and Computational Issues in the Geosciences, Jun 2021, Milan / Virtual, Italy
Communication dans un congrès hal-03403903v1
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Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron

Théophile Chaumont-Frelet , Alexandre Ern , Martin Vohralík
Comptes Rendus. Mathématique, 2020, 358 (9-10), pp.1101-1110. ⟨10.5802/crmath.133⟩
Article dans une revue hal-02631319v1
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Asymptotically constant-free and polynomial-degree-robust a posteriori error estimates for time-harmonic Maxwell's equations

Théophile Chaumont-Frelet
2024
Pré-publication, Document de travail hal-04478624v1
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Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states

Théophile Chaumont-Frelet , Victorita Dolean , Maxime Ingremeau
2022
Pré-publication, Document de travail hal-03747290v1
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Asymptotically constant-free and polynomial-degree-robust a posteriori estimates for space discretizations of the wave equation

Théophile Chaumont-Frelet
2022
Pré-publication, Document de travail hal-03632468v1
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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
2024
Pré-publication, Document de travail hal-03771988v2
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A Painless Automatic hp-Adaptive Strategy for Elliptic Problems

Vincent Darrigrand , David Pardo , Théophile Chaumont-Frelet , Ignacio Gómez-Revuelto , Emilio Luis Garcia-Castillo
Finite Elements in Analysis and Design, 2020, 178, pp.103424. ⟨10.1016/j.finel.2020.103424⟩
Article dans une revue hal-02071427v2
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A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem

Théophile Chaumont-Frelet
2021
Pré-publication, Document de travail hal-03323859v1
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Finite Element Simulations of Logging-While-Drilling and Extra-Deep Azimuthal Resistivity Measurements using Non-Fitting Grids

Théophile Chaumont-Frelet , David Pardo , Angel Rodriguez-Rozas
Computational Geosciences, 2018, ⟨10.1007/s10596-018-9744-6⟩
Article dans une revue hal-01706455v1
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A controllability method for Maxwell's equations

Théophile Chaumont-Frelet , Marcus J Grote , Stephane Lanteri , Jet Hoe Tang
SIAM Journal on Scientific Computing, 2022, ⟨10.1137/21M1424445⟩
Article dans une revue hal-03250886v1

Multiscale Medium Approximation for the Helmholtz equation. Application to geophysical benchmarks.

Hélène Barucq , Henri Calandra , Théophile Chaumont-Frelet , Christian Gout
Third Workshop of the strategic action DIP, Jun 2015, Pau, France
Communication dans un congrès hal-01217475v1
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Asymptotic optimality of the edge finite element approximation of the time-harmonic Maxwell's equations

Théophile Chaumont-Frelet , Alexandre Ern
2023
Pré-publication, Document de travail hal-04216433v1
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Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the De Rham complex

Théophile Chaumont-Frelet , Martin Vohralík
2023
Pré-publication, Document de travail hal-03749682v1
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A generalized finite element method for problems with sign-changing coefficients

Théophile Chaumont-Frelet , Barbara Verfürth
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (3), pp.939-967. ⟨10.1051/m2an/2021007⟩
Article dans une revue hal-02496832v2