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Effect of Incident Light Wavelength and Corneal Edema on Light Scattering and Penetration: Laboratory Study of Human Corneas

Donald A. Peyrot , Florent Aptel , Caroline Crotti , Florent Deloison , Simon Lemaire , et al.
Journal of Refractive Surgery, 2010, 26 (10), pp.786-795. ⟨10.3928/1081597X-20100921-04⟩
Article dans une revue hal-00526604v1
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A Hybrid High-Order method for highly oscillatory elliptic problems

Matteo Cicuttin , Alexandre Ern , Simon Lemaire
Computational Methods in Applied Mathematics, 2019, 19 (4), pp.723-748. ⟨10.1515/cmam-2018-0013⟩
Article dans une revue hal-01467434v3
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A three-dimensional Hybrid High-Order method for magnetostatics

Florent Chave , Daniele Antonio Di Pietro , Simon Lemaire
FVCA 9, Jun 2020, Bergen, Norway. pp.255-263, ⟨10.1007/978-3-030-43651-3_22⟩
Communication dans un congrès hal-02407175v2
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Bridging the Hybrid High-Order and Virtual Element methods

Simon Lemaire
IMA Journal of Numerical Analysis, 2021, 41 (1), pp.549-593. ⟨10.1093/imanum/drz056⟩
Article dans une revue hal-01902962v5
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An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators

Daniele Antonio Di Pietro , Alexandre Ern , Simon Lemaire
Computational Methods in Applied Mathematics, 2014, 14 (4), pp.461-472. ⟨10.1515/cmam-2014-0018⟩
Article dans une revue hal-00978198v2
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An optimization-based numerical method for diffusion problems with sign-changing coefficients

Assyr Abdulle , Martin E. Huber , Simon Lemaire
Comptes Rendus. Mathématique, 2017, 355 (4), pp.472-478. ⟨10.1016/j.crma.2017.02.010⟩
Article dans une revue hal-01354092v2
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Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches

Simon Lemaire , Julien Moatti
Mathematics in Engineering, 2024, 6 (1), pp.100-136. ⟨10.3934/mine.2024005⟩
Article dans une revue hal-04250412v2
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A review of Hybrid High-Order methods: formulations, computational aspects, comparison with other methods

Daniele Di Pietro , Alexandre Ern , Simon Lemaire
G. R. Barrenechea, F. Brezzi, A. Cangiani, E. H. Georgoulis. Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations, 114, Springer, Cham, pp.205-236, 2016, Lecture Notes in Computational Science and Engineering, 978-3-319-41638-0. ⟨10.1007/978-3-319-41640-3_7⟩
Chapitre d'ouvrage hal-01163569v4
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Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods

Théophile Chaumont-Frelet , Alexandre Ern , Simon Lemaire , Frédéric Valentin
ICOSAHOM 2020 - International Conference on Spectral and High-Order Methods, Jul 2021, Vienna / Virtual, Austria
Communication dans un congrès hal-03403920v1
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On the implementation of a multiscale Hybrid High-Order method

Matteo Cicuttin , Alexandre Ern , Simon Lemaire
ENUMATH 2017, Sep 2017, Bergen, Norway. pp.509-517, ⟨10.1007/978-3-319-96415-7_46⟩
Communication dans un congrès hal-01661925v3
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Discrete Weber inequalities and related Maxwell compactness for hybrid spaces over polyhedral partitions of domains with general topology

Simon Lemaire , Silvano Pitassi
Foundations of Computational Mathematics, In press, ⟨10.1007/s10208-024-09648-9⟩
Article dans une revue hal-04081568v3
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Hybrid finite volume discretization of linear elasticity models on general meshes

Daniele Antonio Di Pietro , Robert Eymard , Simon Lemaire , Roland Masson
FVCA 6, Jun 2011, Prague, Czech Republic. pp.331-339, ⟨10.1007/978-3-642-20671-9_35⟩
Communication dans un congrès hal-00795201v1
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An optimization-based method for sign-changing elliptic PDEs

Assyr Abdulle , Simon Lemaire
ESAIM: Mathematical Modelling and Numerical Analysis, In press, ⟨10.1051/m2an/2024013⟩
Article dans une revue hal-04140542v2
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Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches

Claire Chainais-Hillairet , Maxime Herda , Simon Lemaire , Julien Moatti
Numerische Mathematik, 2022, 151 (4), pp.963-1016. ⟨10.1007/s00211-022-01289-w⟩
Article dans une revue hal-03281500v2
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ParaSkel++: a C++ platform for the high-performance, arbitrary-order, 2/3D numerical approximation of PDEs on general polytopal meshes using skeletal Galerkin methods

Laurence Beaude , Simon Lemaire
Logiciel hal-03517921v1
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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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An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow

Daniele Antonio Di Pietro , Simon Lemaire
Mathematics of Computation, 2015, 84 (291), pp.1-31. ⟨10.1090/S0025-5718-2014-02861-5⟩
Article dans une revue hal-00753660v4
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An inf-sup stable and robust discretization of the Stokes equations with large irrotational sources on general meshes

Daniele Antonio Di Pietro , Simon Lemaire
2012
Rapport hal-00708270v2

On the best constant matrix approximating an oscillatory matrix-valued coefficient in divergence-form operators

Claude Le Bris , Frédéric Legoll , Simon Lemaire
ESAIM: Control, Optimisation and Calculus of Variations, 2018, 24 (4), pp.1345-1380. ⟨10.1051/cocv/2017061⟩
Article dans une revue hal-01420187v1
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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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A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics

Florent Chave , Daniele Antonio Di Pietro , Simon Lemaire
Mathematical Models and Methods in Applied Sciences, 2022, 32 (1), pp.175-207. ⟨10.1142/S0218202522500051⟩
Article dans une revue hal-02892526v3
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Nonconforming discretizations of a poromechanical model on general meshes

Simon Lemaire
General Mathematics [math.GM]. Université Paris-Est, 2013. English. ⟨NNT : 2013PEST1168⟩
Thèse tel-00957292v1