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
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).