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Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project

 Raphaël Bulle , Jack S Hale , Alexei Lozinski , Stéphane P.A. Bordas , Franz Chouly
Computers & Mathematics with Applications, 2023, 131, pp.103-123. ⟨10.1016/j.camwa.2022.11.009⟩
Article dans une revue hal-03137595v1

Finite element approximation of multi-scale elliptic problems using patches of elements

 Roland Glowinski , Jiwen He , Alexei Lozinski , Jacques Rappaz , Joël Wagner
Numerische Mathematik, 2005, 101, pp.663-687
Article dans une revue hal-00113130v1
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Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three

 Raphaël Bulle , Franz Chouly , Jack S Hale , Alexei Lozinski
Applied Mathematics Letters, 2020, 107, pp.106429. ⟨10.1016/j.aml.2020.106429⟩
Article dans une revue hal-02482235v2

Numerical zoom and the Schwarz algorithm

 Frédéric Hecht , Alexei Lozinski , Olivier Pironneau
Domain decomposition methods in science and engineering {XVIII}, Springer, pp.63-73, 2009, Lect. Notes Comput. Sci. Eng., ⟨10.1007/978-3-642-02677-5⟩
Chapitre d'ouvrage hal-00628622v1

Kinetic models for dilute solutions of dumbbells in non-homogeneous flows revisited

 Pierre Degond , Alexei Lozinski , G. Owens Robert
Journal of Non-Newtonian Fluid Mechanics, 2010, 165 (9-10), p. 509-518. ⟨10.1016/j.jnnfm.2010.02.007⟩
Article dans une revue hal-00995854v1
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Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diffusion in Perforated Media

 Pierre Degond , Alexei Lozinski , Bagus Putra Muljadi , Jacek Narski
Communications in Computational Physics, 2015, 17, pp.887-907
Article dans une revue hal-00867344v1

Duality-based asymptotic-preserving method for highly anisotropic diffusion equations

 Pierre Degond , Fabrice Deluzet , Alexei Lozinski , Jacek Narski , Claudia Negulescu
Communications in Mathematical Sciences, 2012, 10 (1), pp.1-31. ⟨10.4310/CMS.2012.v10.n1.a2⟩
Article dans une revue hal-00876538v1

Modeling viscoelastic flows using reflected stochastic differential equations

 A. Bonito , Alexei Lozinski , T. Mountford
Communications in Mathematical Sciences, 2010, 8 (3), pp.655-670
Article dans une revue hal-00629326v1
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Stability and optimal convergence of unfitted extended finite element methods with Lagrange multipliers for the Stokes equations

 Michel Fournié , Alexei Lozinski
UCL workshop :Geometrically Unifitted Finite Element Methods and Applications, 2016, Londres, United Kingdom
Communication dans un congrès hal-01978126v1

Highly anisotropic nonlinear temperature balance equation and its numerical solution using asymptotic-preserving schemes of second order in time

 Jacek Narski , Alexei Lozinski , Claudia Negulescu
ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48 (6), pp.1701 - 1724. ⟨10.1051/m2an/2014016⟩
Article dans une revue hal-01881558v1

An asymptotic-preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition

 Pierre Degond , Alexei Lozinski , Jacek Narski , Claudia Negulescu
Journal of Computational Physics, 2012, 231 (7), pp.2724-2740. ⟨10.1016/j.jcp.2011.11.040⟩
Article dans une revue hal-00933503v1

Numerical zoom for advection diffusion problems with localized multiscales

 Alexei Lozinski , Olivier Pironneau
Numerical Methods for Partial Differential Equations, 2011, 27 (1), pp.197-207. ⟨10.1002/num.20642⟩
Article dans une revue istex hal-00631122v1
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A primal discontinuous Galerkin method with static condensation on very general meshes

 Alexei Lozinski
Numerische Mathematik, 2019, 143 (3), pp.583-604. ⟨10.1007/s00211-019-01067-1⟩
Article dans une revue hal-03126798v1

On discretization in time in simulations of particulate flows

 Matthieu Hillairet , Alexei Lozinski , Marcela Szopos
Discrete and Continuous Dynamical Systems - Series B, 2011, 15 (4), pp.935-956. ⟨10.3934/dcdsb.2011.15.935⟩
Article dans une revue hal-00631084v1
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A fictitious domain approach for the Stokes problem based on the extended finite element method

 Sébastien Court , Michel Fournié , Alexei Lozinski
International Journal for Numerical Methods in Fluids, 2014, 74, pp.73 - 99
Article dans une revue hal-01978110v1
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Computing bi-tangents for transmission belts

 Franz Chouly , Jinan Loubani , Alexei Lozinski , Bochra Méjri , Kamil Merito , et al.
2020
Pré-publication, Document de travail hal-02429962v1

Non-intrusive implementation of Multiscale Finite Element Methods: an illustrative example

 Rutger Biezemans , Claude Le Bris , Frédéric Legoll , Alexei Lozinski
Journal of Computational Physics, 2023, 477, pp.111914. ⟨10.1016/j.jcp.2023.111914⟩
Article dans une revue hal-03643103v1

Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods

 Rutger A. Biezemans , Claude Le Bris , Frédéric Legoll , Alexei Lozinski
Comptes Rendus. Mécanique, 2023, 351 (1), ⟨10.5802/crmeca.178⟩
Article dans une revue hal-03884721v1

MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems

 Claude Le Bris , Frédéric Legoll , Alexei Lozinski
Chinese Annals of Mathematics - Series B, 2013, 34 (1), pp.113-138. ⟨10.1007/s11401-012-0755-7⟩
Article dans une revue istex hal-00789102v1

Fluid-poroelastic interface modelling for an implantable medical device: Application to brain tumours treatment

 Julien Rolland , Alexei Lozinski , Jean-Christophe Gimel , Florence Franconi , Laurent Lemaire , et al.
14ème journées d'étude des milieux poreux, 2018, Nantes, France. , 2018
Poster de conférence hal-02616013v1
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phi-FEM for the heat equation: optimal convergence on unfitted meshes in space

 Michel Duprez , Vanessa Lleras , Alexei Lozinski , Killian Vuillemot
Comptes Rendus. Mathématique, 2023, 361 (G11), pp.1699-1710. ⟨10.5802/crmath.497⟩
Article dans une revue hal-03685445v2
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Nonlinear reduced basis using mixture Wasserstein barycenters: application to an eigenvalue problem inspired from quantum chemistry

 Maxime Dalery , Geneviève Dusson , Virginie Ehrlacher , Alexei Lozinski
2023
Pré-publication, Document de travail hal-04131764v2
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Parareal multi-model numerical zoom for parabolic multiscale problems

 Franz Chouly , Alexei Lozinski
Comptes Rendus. Mathématique, 2014, 352 (6), pp.535-540
Article dans une revue hal-00934390v1
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An easily computable error estimator in space and time for the wave equation

 Olga Gorynina , Alexei Lozinski , Marco Picasso
ESAIM: Mathematical Modelling and Numerical Analysis, 2019, 53 (3), pp.729-747. ⟨10.1051/m2an/2018049⟩
Article dans une revue hal-02922758v1
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φ-FEM: a finite element method on domains defined by level-sets

 Michel Duprez , Alexei Lozinski
SIAM Journal on Numerical Analysis, 2020, 58 (2), ⟨10.1137/19M1248947⟩
Article dans une revue hal-02521111v1
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Residual error based adaptive mesh refinement with the non-intrusive patch algorithm

 Mickaël Duval , Alexei Lozinski , Jean-Charles Passieux , Michel Salaün
Computer Methods in Applied Mechanics and Engineering, 2018, 329, pp.118-143. ⟨10.1016/j.cma.2017.09.032⟩
Article dans une revue hal-01807922v1
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A fictitious domain approach for Fluid-Structure Interactions based on the eXtended Finite Element Method.

 Sébastien Court , Michel Fournié , Alexei Lozinski
ESAIM: Proceedings and Surveys, 2014, 45, pp.308-317. ⟨10.1051/proc/201445032⟩
Article dans une revue hal-01978109v1

An MsFEM type approach for perforated domains

 Claude Le Bris , Frédéric Legoll , Alexei Lozinski
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2014, 12 (3), pp.1046-1077. ⟨10.1137/130927826⟩
Article dans une revue hal-00841308v1

Time and space adaptivity of the wave equation discretized in time by a second-order scheme

 Alexei Lozinski , Olga Gorynina , Marco Picasso
IMA Journal of Numerical Analysis, 2019, 39 (4), pp.1672-1705. ⟨10.1093/imanum/dry048⟩
Article dans une revue hal-03126851v1
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φ-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer

 Stéphane Cotin , Michel Duprez , Vanessa Lleras , Alexei Lozinski , Killian Vuillemot
Stéphane Bordas; Alexander Menk; Sundararajan Natarajan. Partition of Unity Methods, Wiley, pp.191-216, 2022, Wiley Series in Computational Mechanics, 978-0470667088. ⟨10.1002/9781118535875.ch7⟩
Chapitre d'ouvrage hal-03372733v1
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