Simon Lemaire

Chercheur (CRCN)
23
Documents
Affiliation actuelle
  • Reliable numerical approximations of dissipative systems (RAPSODI)
Identifiants chercheurs
Contact

Domaines de recherche

Analyse numérique [math.NA]

Compétences

PDEs Numerical analysis Scientific computing

Publications

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Publications

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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, 2025, 25 (3), pp.725-763. ⟨10.1007/s10208-024-09648-9⟩

Article dans une revue hal-04081568v3
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Hybrid high-order approximations of div-curl systems on domains with general topology

Jérémy Dalphin , Jean-Pierre Ducreux , Simon Lemaire , Silvano Pitassi

SIAM Journal on Scientific Computing, 2025, 47 (5), pp.A2988-A3016. ⟨10.1137/25M1744356⟩

Article dans une revue hal-04663200v3
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An optimization-based method for sign-changing elliptic PDEs

Assyr Abdulle , Simon Lemaire

ESAIM: Mathematical Modelling and Numerical Analysis, 2024, 58 (6), pp.2187-2223. ⟨10.1051/m2an/2024013⟩

Article dans une revue hal-04140542v2
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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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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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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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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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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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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

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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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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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 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

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 review of Hybrid High-Order methods: formulations, computational aspects, comparison with other methods

Daniele Antonio 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