CV HAL - Simon Lemaire

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 Lemaire et al.

Journal of Refractive Surgery, 2010, 26 (10), pp.786-795. ⟨10.3928/1081597X-20100921-04⟩

Article dans une revue hal-00526604v1

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

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

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

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

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

Simon Lemaire

Domaines de recherche

Compétences

Publications

Publications

Discrete Weber inequalities and related Maxwell compactness for hybrid spaces over polyhedral partitions of domains with general topology

Hybrid high-order approximations of div-curl systems on domains with general topology

An optimization-based method for sign-changing elliptic PDEs

Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches

Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches

A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics

Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods

Bridging the Hybrid High-Order and Virtual Element methods

A Hybrid High-Order method for highly oscillatory elliptic problems

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

An optimization-based numerical method for diffusion problems with sign-changing coefficients

An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow

An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators

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

Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods

A three-dimensional Hybrid High-Order method for magnetostatics

On the implementation of a multiscale Hybrid High-Order method

Hybrid finite volume discretization of linear elasticity models on general meshes

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

Equivalence of mixed and nonconforming methods on general polytopal partitions. Part I: Multiscale and projection methods

Commuting quasi-interpolators and Maxwell compactness for a polytopal de Rham complex

Nonconforming discretizations of a poromechanical model on general meshes

ParaSkel++: a C++ platform for the high-performance, arbitrary-order, 2/3D numerical approximation of PDEs on general polytopal meshes using skeletal Galerkin methods