mail to Marco Picasso    Marco Picasso Maitre d'Enseignement et Recherche Chaire d'Analyse et Simulation Numériques Institut d'Analyse et Calcul Scientifique EPFL SB IACS ASN, Batiment MA, Station 8    Ecole Polytechnique Fédérale de Lausanne  1015 Lausanne, Suisse  Tél.: ++41 21 693 42 47 Fax: ++41 21 693 43 03 Bureau : MA C2 632

Teaching Activities (2008-2009), see asn web page

I am teaching numerical analysis at bachelor level.
I am teaching analysis III at bachelor level.
I am teaching advanced scientific computing at master level.

Research Activities, see asn web page

I am developing numerical algorithms for complex free surface flows, for Non Newtonian (glaciers) and Viscoelastic fluids.
Another topic of interest is the development of adaptive finite elements techniques, based on a posteriori error estimates (industrial collaboration with Dassault Aviation, INRIA and Y. Bourgault, Ottawa).

Selected Computer presentations

Crete 2008 : adaptive finite elements with large aspect ratio pdf ;
Ottawa 2008 : Rhone glacier between 1870 and 2100 pdf ;

Recent Publications

A. Lozinski, M. Picasso, V. Prachittham, An anisotropic error estimator for the Crank-Nicolson scheme, submitted to SIAM J. Sci. Comp; preprint ;
Y. Bourgault, M. Picasso, F. Alauzet, A. Loseille, On the use of anisotropic a posteriori error estimators for the adaptative solution of 3D inviscid compressible flows, accepted in Int. J. Numer. Meth. Fluids; preprint ;
M. Picasso, A stopping criteria for the conjugate gradient algorithm in the framework of adaptive finite elements, accepted in Comm. Numer. Meth. Eng.; preprint ;
J. Narski, M. Picasso, Adaptive 3D finite elements with high aspect ratio for dendritic growth of a binary alloy including fluid flow induced by shrinkage, Fluid Dyn. Mater. Process., 3(2007), 49-64;
J. Narski and M. Picasso, Adaptive finite elements with high aspect ratio for dendritic growth of a binary alloy including fluid flow induced by shrinkage, 196(2007), 3562-3576;
A. Bonito, P. Clément and M. Picasso, Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow, Numer. Math., 107(2007), 213-255; A. Bonito, P. Clément and M. Picasso, Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows, ESAIM M2AN, 40-4(2006) 785-814;
A. Bonito, P. Clément and M. Picasso, Mathematical analysis of a stochastic simplified Hookean dumbbells model arising from viscoelastic flow, J. Evol. Equ., 6-3(2006) 381-398;
M. Picasso, Adaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivatives, Comp. Meth. Appl. Mech. Eng., 196(2006), 14-23;
M. Picasso, Anisotropic a posteriori error estimates for an optimal control problem governed by the heat equation, Int. J. Numer. Methods PDE, 22(2006), 1314-1336;
A. Bonito, M. Picasso, M. Laso Numerical Simulation of 3D viscoelastic flows with free surfaces, J. Comp. Phys., 215(2006), 691-716;

Thesis under my supervision

J. Bonvin, PhD thesis number 2249 (2000), Numerical simulation of viscoelastic fluids with mesoscopic models (ps.gz 5Mb),
A. Bonito, PhD thesis number 3490, Analysis and numerical simulation of viscoelastic flows : deterministic and stochastic models;
V. Rezzonico, PhD thesis number 3782, Multiscale algorithms with patches of finite elements;
J. Narski, PhD thesis number 3867, Adaptive finite element simulations of dendritic growth including fluid flow induced by shrinkage;
V. Prachittham, PhD thesis number 4338, Space-time adaptive algorithms for parabolic problems : a posteriori error estimates and application to microfluidics;
G. Jouvet, PhD thesis started oct. 2006, Motion of glaciers;
W. Hassan, PhD thesis started feb. 2008, Adaptive methods for fluid flows around aircrafts.;