Alexei Lozinski

37 papers Journal 37

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	φ-FEM-FNO: A new approach to train a Neural Operator as a fast PDE solver for variable geometries. Commun. Nonlinear Sci. Numer. Simul. Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
2025	J	`jnl`	A Generalized Framework for Higher-Order Localized Orthogonal Decomposition Methods. CoRR Moritz Hauck, Alexei Lozinski, Roland Maier
2025	J	`jnl`	A High-Order Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems. CoRR Moritz Hauck, Alexei Lozinski
2025	J	`jnl`	A Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems. SIAM J. Numer. Anal. Moritz Hauck, Alexei Lozinski
2025	J	`jnl`	Gap-SBM: A New Conceptualization of the Shifted Boundary Method with Optimal Convergence for the Neumann and Dirichlet Problems. CoRR J. Haydel Collins, Kangan Li, Alexei Lozinski, Guglielmo Scovazzi
2025	J	`jnl`	Numerical Approaches for non-local Transport-Dominated PDE Models with Applications to Biology. CoRR Johan Marguet, Raluca Eftimie, Alexei Lozinski
2025	J	`jnl`	Numerical approaches for non-local transport-dominated PDE models with applications to biology. Comput. Appl. Math. Johan Marguet, Raluca Eftimie, Alexei Lozinski
2025	J	`jnl`	Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries. CoRR Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
2025	J	`jnl`	φ -FD: A Well-conditioned Finite Difference Method Inspired by φ -FEM for General Geometries on Elliptic PDEs. J. Sci. Comput. Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
2024	J	`jnl`	A Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems. CoRR Moritz Hauck, Alexei Lozinski
2024	J	`jnl`	An a Posteriori Error Estimate for a 0D-2D Coupled Model. SIAM J. Sci. Comput. Hussein Albazzal, Alexei Lozinski, Roberta Tittarelli
2024	J	`jnl`	MsFEM for advection-dominated problems in heterogeneous media: Stabilization via nonconforming variants. CoRR Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll, Alexei Lozinski
2024	J	`jnl`	φ-FD : A well-conditioned finite difference method inspired by φ-FEM for general geometries on elliptic PDEs. CoRR Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
2023	J	`jnl`	A penalty-free Shifted Boundary Method of arbitrary order. CoRR J. Haydel Collins, Alexei Lozinski, Guglielmo Scovazzi
2023	J	`jnl`	An a posteriori error estimate for a 0D/2D coupled model. CoRR Hussein Albazzal, Alexei Lozinski, Roberta Tittarelli
2023	J	`jnl`	Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project. Comput. Math. Appl. Raphaël Bulle, Jack S. Hale, Alexei Lozinski, Stéphane P. A. Bordas, Franz Chouly
2023	J	`jnl`	Non-intrusive implementation of Multiscale Finite Element Methods: An illustrative example. J. Comput. Phys. Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll, Alexei Lozinski
2023	J	`jnl`	Nonlinear reduced basis using mixture Wasserstein barycenters: application to an eigenvalue problem inspired from quantum chemistry. CoRR Maxime Dalery, Geneviève Dusson, Virginie Ehrlacher, Alexei Lozinski
2023	J	`jnl`	phi-FEM for the heat equation: optimal convergence on unfitted meshes in space. CoRR Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot
2022	J	`jnl`	Non-intrusive implementation of Multiscale Finite Element Methods: an illustrative example. CoRR Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll, Alexei Lozinski
2022	J	`jnl`	Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods. CoRR Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll, Alexei Lozinski
2022	J	`jnl`	Phi-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations. CoRR Michel Duprez, Vanessa Lleras, Alexei Lozinski
2021	J	`jnl`	Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project. CoRR Raphaël Bulle, Jack S. Hale, Alexei Lozinski, Stéphane P. A. Bordas, Franz Chouly
2021	J	`jnl`	φ-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer. CoRR Stephane Cotin, Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot
2020	J	`jnl`	Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three. Appl. Math. Lett. Raphaël Bulle, Franz Chouly, Jack S. Hale, Alexei Lozinski
2020	J	`jnl`	φ-FEM, a finite element method on domains defined by level-sets: the Neumann boundary case. CoRR Michel Duprez, Vanessa Lleras, Alexei Lozinski
2020	J	`jnl`	φ-FEM: A Finite Element Method on Domains Defined by Level-Sets. SIAM J. Numer. Anal. Michel Duprez, Alexei Lozinski
2019	J	`jnl`	A primal discontinuous Galerkin method with static condensation on very general meshes. Numerische Mathematik Alexei Lozinski
2018	J	`jnl`	Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study. CoRR Michel Duprez, Stéphane P. A. Bordas, Marek Bucki, Huu Phuoc Bui, Franz Chouly, Vanessa Lleras, Claudio Lobos, Alexei Lozinski, Pierre-Yves Rohan, Satyendra Tomar
2015	J	`jnl`	Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media. Part I: Methodologies and Numerical Experiments. Multiscale Model. Simul. Bagus Putra Muljadi, Jacek Narski, Alexei Lozinski, Pierre Degond
2014	J	`jnl`	An MsFEM Type Approach for Perforated Domains. Multiscale Model. Simul. Claude Le Bris, Frédéric Legoll, Alexei Lozinski
2012	J	`jnl`	An asymptotic-preserving method for highly anisotropic elliptic equations based on a Micro-Macro decomposition. J. Comput. Phys. Pierre Degond, Alexei Lozinski, Jacek Narski, Claudia Negulescu
2009	J	`jnl`	An Anisotropic Error Estimator for the Crank--Nicolson Method: Application to a Parabolic Problem. SIAM J. Sci. Comput. Alexei Lozinski, Marco Picasso, Virabouth Prachittham
2007	J	`jnl`	Multiscale algorithm with patches of finite elements. Math. Comput. Simul. Vittoria Rezzonico, Alexei Lozinski, Marco Picasso, Jacques Rappaz, Joël Wagner
2005	J	`jnl`	Finite element approximation of multi-scale elliptic problems using patches of elements. Numerische Mathematik Roland Glowinski, Jiwen He, Alexei Lozinski, Jacques Rappaz, Joël Wagner
2003	J	`jnl`	An Efficient Technique for Simulations of Viscoelastic Flows, Derived from the Brownian Configuration Field Method. SIAM J. Sci. Comput. Cédric Chauvière, Alexei Lozinski
2002	J	`jnl`	On the Simulation of Unsteady Flow of an Oldroyd-B Fluid by Spectral Methods. J. Sci. Comput. Alexei Lozinski, Robert G. Owens, Alfio Quarteroni