Alexei Lozinski

Maître de Conférences (Assistant Professor)

Institut de Mathématiques de Toulouse, Laboratoire MIP
Université Paul Sabatier
31062 Toulouse, France

Batiment 1R3, Bureau 110
Tel: 05 61 55 83 13
Fax: 05 61 55 83 85
e-mail : alexei.lozinski AT math.univ-toulouse.fr

RESEARCH TOPICS

• Computational rheology
• Multiphase flows – simulations of the motion of the particles or the gas bubbles in a liquid.
• Multi-scale problems – approach of finite element patches.
• A posteriori error estimates for time-dependent problems.

EDUCATION

• 2000–2003: PhD. Ecole Polytechnique Fédérale de Lausanne, Laboratory of Fluid Mechanics.
  Thesis No. 2860 Spectral methods for kinetic theory models of viscoelastic fluids defended in November 2003.
  Advisors: Prof. Robert G. Owens and Prof. Alfio Quarteroni.
• 1992 – 1998: BSc and MSc. Moscow Institute of Physics and Technology, Department of Management and Applied Mathematics.
  MSc Thesis “Investigation of iterative methods with non-complete splitting of boundary conditions for solving a Stokes-type system in non-concentric rings” defended in May 1998.
  Advisor: Prof. Boris V. Pal'tsev.

PUBLICATIONS

• A.A. Mayer and A.S. Losinskii, Self-switching of fundamental solitons in tunnelling-coupled optical waveguides, Doklady Akademii Nauk (1997), 356(3), 325 – 328.
• A.A. Mayer and A.S. Losinskii, Self-switching and amplification of unidirectional distributed-coupled solitons of orthogonal polarization, Doklady Akademii Nauk (1998), 358(4), 470 – 475.
• A.A. Mayer and A.S. Losinskii, Self-switching of solitons in quadratical-nonlinear tunnelling-coupled optical waveguides, Doklady Akademii Nauk (1998), 360(5), 616 – 621.
• A.S. Lozinskii, On the acceleration of finite-element implementations of iterative processes with splitting of boundary conditions for a Stokes-type system, Comp. Math. Math. Phys. (2000), 40(9), 1284 – 1037.
• A.S. Lozinskii, Finite-element implementation of iterative processes with splitting of boundary conditions for a Stokes-type system in non-concentric Annuli, Comp. Math. Math. Phys. (2001), 41(8), 1145 – 1157.
• A. Lozinski, R.G. Owens and A. Quarteroni, On the simulation of unsteady flow of an Oldroyd-B fluid by spectral methods, J. Sci. Comput. (2002), 17, 375 – 383.
• A. Lozinski, C. Chauvière, J. Fang and R.G. Owens, A Fokker-Planck simulation of fast flows of melts and concentrated polymer solutions in complex geometries, J. Rheol (2003), 47, 535 – 561.
• C. Chauvière and A. Lozinski, An efficient technique for simulations of viscoelastic flows, derived from the Brownian configuration field method, SIAM J. Sci. Comput. (2003), 24(5), 1823 – 1837.
• A. Lozinski and R.G. Owens, An energy estimate for the Oldroyd B model: Theory and  applications, J. Non-Newtonian Fluid Mech. (2003), 112,  161 – 176.
• A. Lozinski and C. Chauvière, A fast solver for Fokker-Planck equation applied to viscoelastic flows calculations: 2D FENE model, J. Comp. Phys. (2003), 189, 607 – 625.
• C. Chauvière and A. Lozinski, Simulation of complex viscoelastic flows using Fokker-Planck equation: 3D FENE model, J. Non-Newtonian Fluid Mechanics  (2004), 122(1-3), 201 – 214.
• J. Fang, A. Lozinski and R.G. Owens, Towards more realistic kinetic models for concentrated solutions and melts, J. Non-Newtonian Fluid Mechanics  (2004), 122(1-3), 79 – 90.
• A. Lozinski, R.G. Owens and J. Fang, A Fokker-Planck-based numerical method for modelling non-homogeneous flows of dilute polymeric solutions, J. Non-Newtonian Fluid Mechanics  (2004), 122(1-3), 273 – 286.
• R. Glowinski, J. He, A. Lozinski, J. Rappaz and J. Wagner, Finite element approximation of multi-scale elliptic problems using patches of elements, Numer. Math. (2005) 101(4), 663 – 687.
• A. Lozinski and M.V. Romerio, Motion of gas bubbles, considered as massless bodies, affording deformations within a prescribed family of shapes, in an incompressible fluid under the action of gravitation and surface tension, Mathematical Models and Methods in Applied Sciences (2007) 17(9), 1445 – 1478.
• J. He, A. Lozinski and J. Rappaz, Accelerating the method of finite element patches using approximately harmonic functions, Comptes rendus Mathematique (2007) 345(2) 107 – 112 (extended version).
• P. Delaunay, A. Lozinski and R.G. Owens, Sparse tensor-product Fokker-Planck-based methods for nonlinear bead-spring chain models of dilute polymer solutions, CRM Proceedings and Lecture Notes (2007) 41, 73 – 89.
• A. Lozinski, J. Rappaz and J. Wagner, Finite Element Method with Patches for Poisson problems in polygonal domains, proceedings of CANUM 2006, preprint.
• F. Hecht, A. Lozinski, A. Perronnet, O. Pironneau, Numerical zoom for multiscale problems with an application to flows through porous media, Discrete Contin. Dyn. Syst. (2009) 23(1-2), 265 - 280.
• A. Lozinski, M. Picasso, V. Prachittham, An anisotropic error estimator for the Crank-Nicolson method: application to a parabolic problem, SIAM Journal on Scientific Computing (2009) 31(4), 2757 - 2783 (preprint).
• A. Bonito, A. Lozinski, T. Mountford, Modeling Viscoelastic Flows using Reflected Stochastic Differential Equations, to appear in Comm. Math. Sci. (preprint).