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2020 – today
- 2024
[i13]Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll, Alexei Lozinski:
MsFEM for advection-dominated problems in heterogeneous media: Stabilization via nonconforming variants. CoRR abs/2406.13437 (2024)- [i12]Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot:
φ-FD : A well-conditioned finite difference method inspired by φ-FEM for general geometries on elliptic PDEs. CoRR abs/2410.08042 (2024) - 2023
- [j13]Raphaël Bulle
, Jack S. Hale, Alexei Lozinski, Stéphane P. A. Bordas, Franz Chouly:
Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project. Comput. Math. Appl. 131: 103-123 (2023) - [j12]Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll, Alexei Lozinski:
Non-intrusive implementation of Multiscale Finite Element Methods: An illustrative example. J. Comput. Phys. 477: 111914 (2023) - [i11]Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot:
phi-FEM for the heat equation: optimal convergence on unfitted meshes in space. CoRR abs/2303.12013 (2023) - [i10]J. Haydel Collins, Alexei Lozinski, Guglielmo Scovazzi:
A penalty-free Shifted Boundary Method of arbitrary order. CoRR abs/2306.12706 (2023) - [i9]Maxime Dalery, Geneviève Dusson, Virginie Ehrlacher, Alexei Lozinski:
Nonlinear reduced basis using mixture Wasserstein barycenters: application to an eigenvalue problem inspired from quantum chemistry. CoRR abs/2307.15423 (2023) - [i8]Hussein Albazzal, Alexei Lozinski, Roberta Tittarelli:
An a posteriori error estimate for a 0D/2D coupled model. CoRR abs/2312.07959 (2023) - 2022
- [i7]Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll, Alexei Lozinski:
Non-intrusive implementation of Multiscale Finite Element Methods: an illustrative example. CoRR abs/2204.06852 (2022) - [i6]Michel Duprez, Vanessa Lleras, Alexei Lozinski:
Phi-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations. CoRR abs/2211.07012 (2022) - [i5]Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll, Alexei Lozinski:
Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods. CoRR abs/2211.17024 (2022) - 2021
- [i4]Raphaël Bulle, Jack S. Hale, Alexei Lozinski, Stéphane P. A. Bordas, Franz Chouly:
Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project. CoRR abs/2102.04360 (2021) - [i3]Stephane Cotin, Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot:
φ-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer. CoRR abs/2110.05072 (2021) - 2020
- [j11]Raphaël Bulle, Franz Chouly, Jack S. Hale, Alexei Lozinski:
Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three. Appl. Math. Lett. 107: 106429 (2020) - [j10]Michel Duprez, Alexei Lozinski:
φ-FEM: A Finite Element Method on Domains Defined by Level-Sets. SIAM J. Numer. Anal. 58(2): 1008-1028 (2020) - [i2]Michel Duprez, Vanessa Lleras, Alexei Lozinski:
φ-FEM, a finite element method on domains defined by level-sets: the Neumann boundary case. CoRR abs/2003.11733 (2020)
2010 – 2019
- 2019
- [j9]Alexei Lozinski:
A primal discontinuous Galerkin method with static condensation on very general meshes. Numerische Mathematik 143(3): 583-604 (2019) - 2018
- [i1]Michel Duprez, Stéphane P. A. Bordas, Marek Bucki, Huu Phuoc Bui, Franz Chouly, Vanessa Lleras, Claudio Lobos, Alexei Lozinski, Pierre-Yves Rohan, Satyendra Tomar:
Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study. CoRR abs/1806.06944 (2018) - 2015
- [j8]Bagus Putra Muljadi, Jacek Narski, Alexei Lozinski, Pierre Degond:
Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media. Part I: Methodologies and Numerical Experiments. Multiscale Model. Simul. 13(4): 1146-1172 (2015) - 2014
- [j7]Claude Le Bris, Frédéric Legoll, Alexei Lozinski:
An MsFEM Type Approach for Perforated Domains. Multiscale Model. Simul. 12(3): 1046-1077 (2014) - 2012
- [j6]Pierre Degond, Alexei Lozinski, Jacek Narski, Claudia Negulescu:
An asymptotic-preserving method for highly anisotropic elliptic equations based on a Micro-Macro decomposition. J. Comput. Phys. 231(7): 2724-2740 (2012)
2000 – 2009
- 2009
- [j5]Alexei Lozinski, Marco Picasso, Virabouth Prachittham:
An Anisotropic Error Estimator for the Crank--Nicolson Method: Application to a Parabolic Problem. SIAM J. Sci. Comput. 31(4): 2757-2783 (2009) - 2007
- [j4]Vittoria Rezzonico, Alexei Lozinski, Marco Picasso, Jacques Rappaz, Joël Wagner:
Multiscale algorithm with patches of finite elements. Math. Comput. Simul. 76(1-3): 181-187 (2007) - 2005
- [j3]Roland Glowinski, Jiwen He, Alexei Lozinski, Jacques Rappaz, Joël Wagner:
Finite element approximation of multi-scale elliptic problems using patches of elements. Numerische Mathematik 101(4): 663-687 (2005) - 2003
- [j2]Cédric Chauvière, Alexei Lozinski:
An Efficient Technique for Simulations of Viscoelastic Flows, Derived from the Brownian Configuration Field Method. SIAM J. Sci. Comput. 24(5): 1823-1837 (2003) - 2002
- [j1]Alexei Lozinski, Robert G. Owens, Alfio Quarteroni:
On the Simulation of Unsteady Flow of an Oldroyd-B Fluid by Spectral Methods. J. Sci. Comput. 17(1-4): 375-383 (2002)
Coauthor Index
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