On the Simulation of Unsteady Flow of an Oldroyd-B Fluid by Spectral Methods. - Alexei Lozinski; Robert G. Owens; Alfio Quarteroni (J. Sci. Comput., 2002)

An Efficient Technique for Simulations of Viscoelastic Flows, Derived from the Brownian Configuration Field Method. - Cédric Chauvière; Alexei Lozinski (SIAM J. Sci. Comput., 2003)

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)

Multiscale algorithm with patches of finite elements. - Vittoria Rezzonico; Alexei Lozinski; Marco Picasso; Jacques Rappaz; Joël Wagner (Math. Comput. Simul., 2007)

An Anisotropic Error Estimator for the Crank–Nicolson Method: Application to a Parabolic Problem. - Alexei Lozinski; Marco Picasso; Virabouth Prachittham (SIAM J. Sci. Comput., 2009)

An asymptotic-preserving method for highly anisotropic elliptic equations based on a Micro-Macro decomposition. - Pierre Degond; Alexei Lozinski; Jacek Narski; Claudia Negulescu (J. Comput. Phys., 2012)

An MsFEM Type Approach for Perforated Domains. - Claude Le Bris; Frédéric Legoll; Alexei Lozinski (Multiscale Model. Simul., 2014)

Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media. Part I: Methodologies and Numerical Experiments. - Bagus Putra Muljadi; Jacek Narski; Alexei Lozinski; Pierre Degond (Multiscale Model. Simul., 2015)

Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study. - Michel Duprez; Stéphane P. A. Bordas; Marek Bucki; Huu Phuoc Bui; Franz Chouly; Vanessa Lleras; Claudio Lobos; Alexei Lozinski; Pierre-Yves Rohan; Satyendra Tomar (CoRR, 2018)

A primal discontinuous Galerkin method with static condensation on very general meshes. - Alexei Lozinski (Numerische Mathematik, 2019)

Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three. - Raphaël Bulle; Franz Chouly; Jack S. Hale; Alexei Lozinski (Appl. Math. Lett., 2020)

φ-FEM, a finite element method on domains defined by level-sets: the Neumann boundary case. - Michel Duprez; Vanessa Lleras; Alexei Lozinski (CoRR, 2020)

φ-FEM: A Finite Element Method on Domains Defined by Level-Sets. - Michel Duprez; Alexei Lozinski (SIAM J. Numer. Anal., 2020)

φ-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer. - Stephane Cotin; Michel Duprez; Vanessa Lleras; Alexei Lozinski; Killian Vuillemot (CoRR, 2021)

Phi-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations. - Michel Duprez; Vanessa Lleras; Alexei Lozinski (CoRR, 2022)

Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods. - Rutger A. Biezemans; Claude Le Bris; Frédéric Legoll; Alexei Lozinski (CoRR, 2022)

phi-FEM for the heat equation: optimal convergence on unfitted meshes in space. - Michel Duprez; Vanessa Lleras; Alexei Lozinski; Killian Vuillemot (CoRR, 2023)

A penalty-free Shifted Boundary Method of arbitrary order. - J. Haydel Collins; Alexei Lozinski; Guglielmo Scovazzi (CoRR, 2023)

Nonlinear reduced basis using mixture Wasserstein barycenters: application to an eigenvalue problem inspired from quantum chemistry. - Maxime Dalery; Geneviève Dusson; Virginie Ehrlacher; Alexei Lozinski (CoRR, 2023)

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 (Comput. Math. Appl., 2023)

Non-intrusive implementation of Multiscale Finite Element Methods: An illustrative example. - Rutger A. Biezemans; Claude Le Bris; Frédéric Legoll; Alexei Lozinski (J. Comput. Phys., 2023)

MsFEM for advection-dominated problems in heterogeneous media: Stabilization via nonconforming variants. - Rutger A. Biezemans; Claude Le Bris; Frédéric Legoll; Alexei Lozinski (CoRR, 2024)

A Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems. - Moritz Hauck; Alexei Lozinski (CoRR, 2024)

An a Posteriori Error Estimate for a 0D-2D Coupled Model. - Hussein Albazzal; Alexei Lozinski; Roberta Tittarelli (SIAM J. Sci. Comput., 2024)

Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries. - Michel Duprez; Vanessa Lleras; Alexei Lozinski; Vincent Vigon; Killian Vuillemot (CoRR, 2025)

Numerical approaches for non-local transport-dominated PDE models with applications to biology. - Johan Marguet; Raluca Eftimie; Alexei Lozinski (Comput. Appl. Math., 2025)

A Generalized Framework for Higher-Order Localized Orthogonal Decomposition Methods. - Moritz Hauck; Alexei Lozinski; Roland Maier (CoRR, 2025)

φ -FD: A Well-conditioned Finite Difference Method Inspired by φ -FEM for General Geometries on Elliptic PDEs. - Michel Duprez; Vanessa Lleras; Alexei Lozinski; Vincent Vigon; Killian Vuillemot (J. Sci. Comput., 2025)

φ-FEM-FNO: A new approach to train a Neural Operator as a fast PDE solver for variable geometries. - Michel Duprez; Vanessa Lleras; Alexei Lozinski; Vincent Vigon; Killian Vuillemot (Commun. Nonlinear Sci. Numer. Simul., 2026)