Simon Lemaire Chercheur (CRCN)

Identifiants chercheurs

IdHAL :

lemaires

ORCID :

0009-0001-4286-5876

IdRef :

176727418

Publications

Article dans une revue (14)

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
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
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
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
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
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
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
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
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
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
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
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 Lemaireet al. Journal of Refractive Surgery, 2010, 26 (10), pp.786-795. ⟨10.3928/1081597X-20100921-04⟩ Article dans une revue hal-00526604v1

Communication dans un congrès (4)

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
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
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
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

Chapitre d'ouvrage (1)

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

Pré-publication, Document de travail (2)

Equivalence of mixed and nonconforming methods on general polytopal partitions. Part I: Multiscale and projection methods Simon Lemaire 2026 Pré-publication, Document de travail hal-05513767v1
Commuting quasi-interpolators and Maxwell compactness for a polytopal de Rham complex Théophile Chaumont-Frelet,Jérôme Droniou,Simon Lemaire 2025 Pré-publication, Document de travail hal-05304175v2

Thèse (1)

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

Logiciel (1)

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 2021, ⟨swh:1:dir:0a4653df78215d7e1bd9d4c06ed0bc385a528e7d;origin=https://hal.archives-ouvertes.fr/hal-03517921;visit=swh:1:snp:0356a82b427922614cc22d3f6406faf698a3c533;anchor=swh:1:rel:d73172889b56b396fcc6b67a620ed588c0f666e4;path=/⟩ Logiciel hal-03517921v1