Profile picture

Marco Picasso

EPFL SB MATH GR-PI
MA C2 632 (Bâtiment MA)
Station 8
1015 Lausanne

Expertise

Computational Science and Engineering

Mission

I am teaching analysis and numerical analysis for engineers and mathematicians at bachelor and master levels.
My research pertains to the numerical simulation of complex physical systems with partial differential equations.
Here is some bibliometry: Google Scholar, Research Gate,
Orcid, here is my most recent CV.

Ongoing research projects:
- Numerical simulation of aluminium electrolysis, collaboration with RioTinto LRF lab, Ycoorsystems SA and Jacques Rappaz, PhD student Paride Passelli).
- Free surface flows: viscoelastic fluids (with Alexandre Caboussat, HES-GE, PhD student Léo Diserens).
- Adaptive finite elements and Neural Networks for parametric pdes (with Alexandre Caboussat, HES-GE, PhD student Maude Girardin).
Former research projects:
- Anisotropic adaptive finite elements.
- Numerical Simulation of 3D impulse Waves, Swiss National Fund, http://p3.snf.ch/project-143470, collaboration with VAW ETHZ, R. Boes and W. Hager.
- Bedrock estimation of glaciers from top surface measurements, collaboration with VAW ETHZ, M. Funk.
- Multiphase and multiphysics free surface flows, CTI project with Ycoorsystem Sierre.
- Reduced basis fast and accurate simulation algorithms to new industrial applications for CAE, CTI project with Akselos PSE.

Presentations:
Paris 2013: Adaptive finite elements with large aspect ratio pdf
Erlangen 2015: Numerical simulation of the retreat of Alpine glaciers pdf

Duties:
I am member of the
APEL committee.
I am member of the School Assembly.
Je représente l'EPFL dans la commission suisse de maturité.

Infoscience

Numerical Analysis of a Simplified Unified Model for Viscoelastic Fluids and Elastic Solids

A. CaboussatL. A. DiserensM. Picasso

2025. European Conference on Numerical Mathematics and Advanced Applications, Lisbon, Portugal, 2023-09-04 - 2023-09-08. p. 220 - 228. DOI : 10.1007/978-3-031-86173-4_22.

Error Assessment for Finite Elements/Neural Networks Methods Applied to Parametric PDEs

M. Girardin / M. PicassoA. Caboussat (Dir.)

Lausanne, EPFL, 2025. DOI : 10.5075/epfl-thesis-11474.

Anisotropic Adaptive Finite Elements for a p-Laplacian Problem

P. PasselliM. Picasso

Computational Methods In Applied Mathematics. 2024. DOI : 10.1515/cmam-2022-0205.

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

A. CaboussatJ. HessA. MassereyM. Picasso

Journal Of Computational Physics. 2024. DOI : 10.1016/j.jcp.2024.112846.

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

P. Passelli / M. Picasso (Dir.)

Lausanne, EPFL, 2024. DOI : 10.5075/epfl-thesis-10482.

An adaptive space-time algorithm for the incompressible Navier-Stokes equations

A. BoisneaultS. DubuisM. Picasso

Journal Of Computational Physics. 2023. DOI : 10.1016/j.jcp.2023.112457.

Numerical simulation of immiscible incompressible viscous, viscoelastic and elastic multiphase flows

L. A. Diserens / M. PicassoA. Caboussat (Dir.)

Lausanne, EPFL, 2023. DOI : 10.5075/epfl-thesis-10027.

A splitting method for the numerical simulation of free surface flows with sediment deposition and resuspension

A. MradA. CaboussatM. Picasso

International Journal For Numerical Methods In Fluids. 2022. DOI : 10.1002/fld.5122.

An anisotropic adaptive method for the numerical approximation of orthogonal maps

A. CaboussatD. GourzoulidisM. Picasso

Journal Of Computational And Applied Mathematics. 2022. DOI : 10.1016/j.cam.2021.113997.

Anisotropic Adaptive Finite Elements for an Elliptic Problem with Strongly Varying Diffusion Coefficient

S. DubuisP. PasselliM. Picasso

Computational Methods In Applied Mathematics. 2022. DOI : 10.1515/cmam-2022-0036.

A mixture model to take into account diluted gas in liquid flow: applications to aluminium electrolysis

E. T. P. Soutter / M. PicassoJ. Rappaz (Dir.)

Lausanne, EPFL, 2022. DOI : 10.5075/epfl-thesis-8924.

Spectral analysis for transmission eigenvalue problems with and without the complementing conditions

J. L.-A. Fornerod / H.-M. NguyênM. Picasso (Dir.)

Lausanne, EPFL, 2022. DOI : 10.5075/epfl-thesis-9964.

A mixture model for a dilute dispersion of gas in a liquid flow: Mathematical analysis and application to aluminium electrolysis

E. T. P. SoutterJ. RappazM. Picasso

Computers & Mathematics with Applications. 2021. DOI : 10.1016/j.camwa.2021.03.007.

A Space-Time Adaptive Algorithm to Illustrate the Lack of Collision of a Rigid Disk Falling in an Incompressible Fluid

S. DubuisM. PicassoP. Wittwer

Computational Methods In Applied Mathematics. 2021. DOI : 10.1515/cmam-2020-0046.

Numerical Methods for First and Second Order Fully Nonlinear Partial Differential Equations

D. Gourzoulidis / M. PicassoA. Caboussat (Dir.)

Lausanne, EPFL, 2021. DOI : 10.5075/epfl-thesis-8521.

A depth-averaged material point method for alpine mass movements

D. Steffen

2021

Numerical simulation of sediment dynamics with free surface flows

A. Mrad / M. PicassoA. Caboussat (Dir.)

Lausanne, EPFL, 2021. DOI : 10.5075/epfl-thesis-8195.

An adaptive algorithm for the transport equation with time dependent velocity

S. DubuisM. Picasso

SN Applied Sciences. 2020. DOI : 10.1007/s42452-020-03283-z.

Adaptive algorithms for two fluids flows with anisotropic finite elements and order two time discretizations

S. Dubuis / M. Picasso (Dir.)

Lausanne, EPFL, 2020. DOI : 10.5075/epfl-thesis-9897.

Time and space adaptivity of the wave equation discretized in time by a second-order scheme

O. GoryninaA. LozinskiM. Picasso

IMA Journal of Numerical Analysis. 2019. DOI : 10.1093/imanum/dry048.

An Easily Computable Error Estimator In Space And Time For The Wave Equation

O. GoryninaA. LozinskiM. Picasso

ESAIM: Mathematical Modelling and Numerical Analysis. 2019. DOI : 10.1051/m2an/2018049.

A Numerical Model For The Simulation Of Shallow Laser Surface Melting

A. CaboussatJ. HessA. MassereyM. Picasso

2019. 2nd International Conference on Simulation for Additive Manufacturing (Sim-AM), Pavia, ITALY, Sep 11-13, 2019. p. 286 - 296.

Numerical Approximation Of Orthogonal Maps

A. CaboussatR. GlowinskiD. GourzoulidisM. Picasso

Siam Journal On Scientific Computing. 2019. DOI : 10.1137/19M1243683.

Méthodes numériques liées à la distribution d'alumine dans une cuve d'électrolyse d'aluminium

T. F. Hilke / M. PicassoJ. Rappaz (Dir.)

Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-8682.

A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows

S. BoyavalA. CaboussatA. MradM. PicassoG. Steiner

Computers & Fluids. 2018. DOI : 10.1016/j.compfluid.2018.04.002.

A posteriori error estimation for the steady Navier-Stokes equations in random domains

D. S. GuignardF. NobileM. Picasso

Computer Methods in Applied Mechanics and Engineering. 2017. DOI : 10.1016/j.cma.2016.10.008.

MATHICSE Technical Report : A posteriori error estimation for the steady Navier-Stokes equations in random domains

D. S. GuignardF. NobileM. Picasso

2016

A posteriori error estimations for elliptic partial differential equations with small uncertainties

D. S. GuignardF. NobileM. Picasso

Numerical Methods for Partial Differential Equations. 2016. DOI : 10.1002/num.21991.

Approximation numérique des écoulements turbulents dans des cuves d'électrolyse de l'aluminium

J. Rochat / M. PicassoJ. Rappaz (Dir.)

Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7113.

An octree-based adaptive semi-Lagrangian free surface flow solver

V. H. Laurmaa / M. Picasso (Dir.)

Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7011.

From the free surface flow of a viscoelastic fluid towards the elastic deformation of a solid

M. Picasso

Comptes Rendus Mathematique. 2016. DOI : 10.1016/j.crma.2016.02.001.

A posteriori error estimation for partial differential equations with random input data

D. S. Guignard / F. NobileM. Picasso (Dir.)

Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.

An octree-based adaptive semi-Lagrangian VOF approach for simulating the displacement of free surfaces

V. LaurmaaM. PicassoG. Steiner

COMPUTERS & FLUIDS. 2016. DOI : 10.1016/j.compfluid.2016.03.005.

Adaptive polynomial approximation by means of random discrete least squares

G. Migliorati

2015. ENUMATH 2013, Lausanne, August 26-30, 2013. p. 547 - 554. DOI : 10.1007/978-3-319-10705-9_54.

An anisotropic adaptive finite element algorithm for transonic viscous flows around a wing

W. HassanM. Picasso

Computers & Fluids. 2015. DOI : 10.1016/j.compfluid.2015.01.002.

Numerical Mathematics and Advanced Applications - ENUMATH 2013

A. AbdulleS. DeparisD. KressnerF. NobileM. Picasso

2015

MATHICSE Technical Report : A posteriori error estimations for elliptic partial differential equations with small uncertainties

D. S. GuignardF. NobileM. Picasso

2014

Estimating the ice thickness of mountain glaciers with a shape optimization algorithm using surface topography and mass-balance

L. MichelM. PicassoD. FarinottiA. BauderM. Funk  et al.

Journal Of Inverse And Ill-Posed Problems. 2014. DOI : 10.1515/jip-2013-0016.

Estimating the ice thickness of shallow glaciers from surface topography and mass-balance data with a shape optimization algorithm

L. MichelM. PicassoD. FarinottiM. FunkH. Blatter

Computers & Geosciences. 2014. DOI : 10.1016/j.cageo.2014.01.012.

Bedrock topography reconstruction of glaciers from surface topography and mass-balance data

L. Michel-GriesserM. PicassoD. FarinottiM. FunkH. Blatter

Computational Geosciences. 2014. DOI : 10.1007/s10596-014-9439-6.

Numerical simulation of 3D free surface flows, with multiple incompressible immiscible phases. Applications to impulse waves

N. JamesS. BoyavalA. CaboussatM. Picasso

International Journal For Numerical Methods In Fluids. 2014. DOI : 10.1002/fld.3967.

Simulations numériques de phénomènes MHD-thermiques avec interface libre dans l'électrolyse de l'aluminium

S. Flotron / J. RappazM. Picasso (Dir.)

Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5738.

Estimating the ice thickness of mountain glaciers with an inverse approach using surface topography and mass-balance

L. MichelM. PicassoD. FarinottiA. BauderM. Funk  et al.

Inverse Problems. 2013. DOI : 10.1088/0266-5611/29/3/035002.

A posteriori analysis of the Chorin-Temam scheme for Stokes equations

S. BoyavalM. Picasso

Comptes Rendus Mathematique. 2013. DOI : 10.1016/j.crma.2013.10.026.

Measurement of strain-rate components in a glacier with embedded inclinometers: numerical analysis

M. JaberH. BlatterM. Picasso

Journal Of Glaciology. 2013. DOI : 10.3189/2013JoG12J131.

Anisotropic Error Estimates And Space Adaptivity For A Semidiscrete Finite Element Approximation Of The Transient Transport Equation

Y. BourgaultM. Picasso

Siam Journal On Scientific Computing. 2013. DOI : 10.1137/120891320.

Estimating the Ice Thickness of Mountain Glaciers from Surface Topography and Mass-Balance Data

L. Michel / M. Picasso (Dir.)

Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5940.

Algorithmes d'adaptation de maillages anisotropes et application à l'aérodynamique

W. Hassan / M. Picasso (Dir.)

Lausanne, EPFL, 2012. DOI : 10.5075/epfl-thesis-5304.

A Numerical Study Of Some Hessian Recovery Techniques On Isotropic And Anisotropic Meshes

M. PicassoF. AlauzetH. BorouchakiP.-L. George

Siam Journal On Scientific Computing. 2011. DOI : 10.1137/100798715.

Modélisation, analyse mathématique et simulation numérique de la dynamique des glaciers

G. Jouvet / J. RappazM. Picasso (Dir.)

Lausanne, EPFL, 2010. DOI : 10.5075/epfl-thesis-4677.

Numerical Study Of An Anisotropic Error Estimator In The L-2(H-1) Norm For The Finite Element Discretization Of The Wave Equation

M. Picasso

Siam Journal On Scientific Computing. 2010. DOI : 10.1137/090778249.

Adaptive finite elements with large aspect ratio for electroosmotic and pressure-driven microflows

V. PrachitthamM. A. M. GijsM. Picasso

International Journal For Numerical Methods In Fluids. 2010. DOI : 10.1002/fld.2110.

Some Mathematical and Numerical Aspects in Aluminum Production

M. FlueckA. JankaC. LaurentM. PicassoJ. Rappaz  et al.

Journal Of Scientific Computing. 2010. DOI : 10.1007/s10915-008-9227-3.

Space-time adaptive algorithms for parabolic problems : a posteriori error estimates and application to microfluidics

V. Prachittham / M. Picasso (Dir.)

Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4338.

Scientific Computing For Aluminum Production

M. FlueckT. HoferM. PicassoJ. RappazG. Steiner

International Journal Of Numerical Analysis And Modeling. 2009.

A stopping criterion for the conjugate gradient algorithm in the framework of anisotropic adaptive finite elements

M. Picasso

Communications In Numerical Methods In Engineering. 2009. DOI : 10.1002/cnm.1120.

An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem

M. PicassoV. Prachittham

Journal Of Computational And Applied Mathematics. 2009. DOI : 10.1016/j.cam.2009.09.004.

An Anisotropic Error Estimator For The Crank-Nicolson Method: Application To A Parabolic Problem

A. LozinskiM. PicassoV. Prachittham

Siam Journal On Scientific Computing. 2009. DOI : 10.1137/080715135.

Numerical simulation of Rhonegletscher from 1874 to 2100

G. JouvetM. HussH. BlatterM. PicassoJ. Rappaz

Journal Of Computational Physics. 2009. DOI : 10.1016/j.jcp.2009.05.033.

On the use of anisotropic a posteriori error estimators for the adaptative solution of 3D inviscid compressible flows

Y. BourgaultM. PicassoF. AlauzetA. Loseille

International Journal For Numerical Methods In Fluids. 2009. DOI : 10.1002/fld.1797.

A new algorithm to simulate the dynamics of a glacier: theory and applications

G. JouvetM. PicassoJ. RappazH. Blatter

Journal Of Glaciology. 2008. DOI : 10.3189/002214308787780049.

Multiscale algorithm with patches of finite elements

M. PicassoJ. RappazV. Rezzonico

2008. 8th U.S. National Congress on Computational mechanics, Austin, TX, Jul 25-27, 2005. p. 477 - 491. DOI : 10.1002/cnm.1019.

Multiscale algorithm with patches of finite elements and applications

V. Rezzonico / M. Picasso (Dir.)

Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3782.

Adaptive finite element simulations of dendritic growth including fluid flow induced by shrinkage

J. Narski / M. Picasso (Dir.)

Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3867.

Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow

A. BonitoP. ClémentM. Picasso

Numerische Mathematik. 2007. DOI : 10.1007/s00211-007-0085-y.

Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows

A. BonitoP. ClémentM. Picasso

Journal of Evolution Equations. 2006. DOI : 10.1007/s00028-006-0251-1.

Adaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivatives

M. Picasso

Computer Methods in Applied Mechanics and Engineering. 2006. DOI : 10.1016/j.cma.2005.11.018.

Anisotropica posteriori error estimate for an optimal control problem governed by the heat equation

M. Picasso

Numerical Methods for Partial Differential Equations. 2006. DOI : 10.1002/num.20156.

Numerical simulation of 3D viscoelastic flows with free surfaces

A. BonitoM. PicassoM. Laso

Journal of Computational Physics. 2006. DOI : 10.1016/j.jcp.2005.11.013.

Analysis and numerical simulation of viscoelastic flows : deterministic and stochastic models

A. Bonito / M. Picasso (Dir.)

Lausanne, EPFL, 2006. DOI : 10.5075/epfl-thesis-3490.

An adaptive algorithm for the Stokes problem using continuous, piecewise linear stabilized finite elements and meshes with high aspect ratio

M. Picasso

Applied Numerical Mathematics. 2005. DOI : 10.1016/j.apnum.2004.09.014.

Numerical simulation of free surface incompressible liquid flows surrounded by compressible gas

A. CaboussatM. PicassoJ. Rappaz

Journal of Computational Physics. 2005. DOI : 10.1016/j.jcp.2004.09.009.

Implicit micro-macro methods

M. LasoJ. RamirezM. Picasso

Journal of Non-Newtonian Fluid Mechanics. 2004. DOI : 10.1016/j.jnnfm.2003.11.013.

Numerical simulation of the motion of a two-dimensional glacier

M. PicassoJ. RappazA. ReistM. FunkH. Blatter

International Journal For Numerical Methods In Engineering. 2004. DOI : 10.1002/nme.997.

Adaptive finite elements with high aspect ratio for the computation of coalescence using a phase-field model

E. BurmanA. JacotM. Picasso

Journal of Computational Physics. 2004. DOI : 10.1016/j.jcp.2003.09.021.

Constitutive relations for viscoleastic fluid models derived from kinetic theory

P. DegondM. LemouM. Picasso

Dispersive Transport Equations and Multiscale Models; 2004. p. 77 - 89.

Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator

M. Picasso

Communications in Numerical Methods in Engineering. 2003. DOI : 10.1002/cnm.546.

Anisotropic error indicator based on Zienkiewicz-Zhu error estimator: Application to elliptic and parabolic problems

M. Picasso

Siam Journal on Scientific Computing. 2003. DOI : 10.1137/S1064827501398578.

A posteriori error estimates and adaptive finite elements for a nonlinear parabolic problem related to solidification

O. KrugerM. PicassoJ. F. Scheid

Computer Methods in Applied Mechanics and Engineering. 2003. DOI : 10.1016/S0045-7825(02)00550-9.

Anisotropic, adaptive finite elements for the computation of a solutal dendrite

E. BurmanM. Picasso

Interfaces and Free Boundaries. 2003. DOI : 10.4171/IFB/74.

Calculation of variable-topology free surface flows using CONNFFESSIT

E. GrandeM. LasoM. Picasso

Journal of Non-Newtonian Fluid Mechanics. 2003. DOI : 10.1016/S0377-0257(03)00103-4.

Stabilized finite elements on anisotropic meshes: A priori error estimates for the advection-diffusion and the Stokes problems

S. MichelettiS. PerottoM. Picasso

Siam Journal on Numerical Analysis. 2003. DOI : 10.1137/S0036142902403759.

Numerical simulation of three-dimensional free surface flows

V. MaronnierM. PicassoJ. Rappaz

International Journal for Numerical Methods in Fluids. 2003. DOI : 10.1002/fld.532.

Viscoelastic fluid models derived from kinetic equations for polymers

P. DegondM. LemouM. Picasso

Siam Journal on Applied Mathematics. 2002. DOI : 10.1137/S0036139900374404.

Existence, a priori and a posteriori error estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows

M. PicassoJ. Rappaz

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique. 2001. DOI : 10.1051/m2an:2001140.

GLS and EVSS methods for a three-field Stokes problem arising from viscoelastic flows

J. BonvinM. PicassoR. Stenberg

Computer Methods in Applied Mechanics and Engineering. 2001. DOI : 10.1016/S0045-7825(00)00307-8.

Stability of time-splitting schemes for the Stokes problem with stabilized finite elements

M. PicassoJ. Rappaz

Numerical Methods for Partial Differential Equations. 2001. DOI : 10.1002/num.1031.

Numerical simulation of free surface flows

V. MaronnierM. PicassoJ. Rappaz

Journal of Computational Physics. 1999. DOI : 10.1006/jcph.1999.6346.

Variance reduction methods for CONNFFESSIT-like simulations

J. BonvinM. Picasso

Journal of Non-Newtonian Fluid Mechanics. 1999. DOI : 10.1016/S0377-0257(98)00179-7.

Adaptive finite elements for a linear parabolic problem

M. Picasso

Computer Methods in Applied Mechanics and Engineering. 1998. DOI : 10.1016/S0045-7825(98)00121-2.

Introduction à l'analyse numérique

J. RappazM. Picasso

Presses Polytechniques et Universitaires Romandes.

Probabilistic numerical methods for physical and financial problems

M. BossyM. PicassoD. Talay

Computers in Physics. 1997. DOI : 10.1063/1.168611.

2-D time-dependent viscoelastic flow calculations using CONNFFESSIT

M. LasoM. PicassoH. C. Ottinger

Aiche Journal. 1997. DOI : 10.1002/aic.690430404.

Error estimates and adaptive finite elements for nonlinear diffusion-convection problems

J. MedinaM. PicassoJ. Rappaz

Mathematical Models & Methods in Applied Sciences. 1996. DOI : 10.1142/S0218202596000286.

An Adaptive Finite-Element Algorithm for a 2-Dimensional Stationary Stefan-Like Problem

M. Picasso

Computer Methods in Applied Mechanics and Engineering. 1995. DOI : 10.1016/0045-7825(95)00793-Z.

Laser-Powder-Material Interactions in the Laser Cladding Process

M. PicassoM. Rappaz

Journal De Physique Iv. 1994. DOI : 10.1051/jp4:1994404.

A Simple but Realistic Model for Laser Cladding

M. PicassoC. F. MarsdenJ. D. WagniereA. FrenkM. Rappaz

Metallurgical and Materials Transactions B-Process Metallurgy and Materials Processing Science. 1994. DOI : 10.1007/BF02665211.

Simulation numérique des traitements de surface par laser

M. Picasso / J. Rappaz (Dir.)

Lausanne, EPFL, 1992. DOI : 10.5075/epfl-thesis-1011.

Infoscience

Modelling and Numerical Simulation of the Dynamics of Glaciers Including Local Damage Effects

G. JouvetM. PicassoJ. RappazM. HussM. Funk

Mathematical Modelling Of Natural Phenomena. 2011. DOI : 10.1051/mmnp/20116510.

A Numerical Study Of Some Hessian Recovery Techniques On Isotropic And Anisotropic Meshes

M. PicassoF. AlauzetH. BorouchakiP.-L. George

Siam Journal On Scientific Computing. 2011. DOI : 10.1137/100798715.

Some Mathematical and Numerical Aspects in Aluminum Production

M. FlueckA. JankaC. LaurentM. PicassoJ. Rappaz  et al.

Journal Of Scientific Computing. 2010. DOI : 10.1007/s10915-008-9227-3.

Numerical Study Of An Anisotropic Error Estimator In The L-2(H-1) Norm For The Finite Element Discretization Of The Wave Equation

M. Picasso

Siam Journal On Scientific Computing. 2010. DOI : 10.1137/090778249.

Modélisation, analyse mathématique et simulation numérique de la dynamique des glaciers

G. Jouvet / J. RappazM. Picasso (Dir.)

Lausanne, EPFL, 2010. DOI : 10.5075/epfl-thesis-4677.

Adaptive finite elements with large aspect ratio for electroosmotic and pressure-driven microflows

V. PrachitthamM. A. M. GijsM. Picasso

International Journal For Numerical Methods In Fluids. 2010. DOI : 10.1002/fld.2110.

An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem

M. PicassoV. Prachittham

Journal Of Computational And Applied Mathematics. 2009. DOI : 10.1016/j.cam.2009.09.004.

On the use of anisotropic a posteriori error estimators for the adaptative solution of 3D inviscid compressible flows

Y. BourgaultM. PicassoF. AlauzetA. Loseille

International Journal For Numerical Methods In Fluids. 2009. DOI : 10.1002/fld.1797.

Scientific Computing For Aluminum Production

M. FlueckT. HoferM. PicassoJ. RappazG. Steiner

International Journal Of Numerical Analysis And Modeling. 2009.

A stopping criterion for the conjugate gradient algorithm in the framework of anisotropic adaptive finite elements

M. Picasso

Communications In Numerical Methods In Engineering. 2009. DOI : 10.1002/cnm.1120.

Numerical simulation of Rhonegletscher from 1874 to 2100

G. JouvetM. HussH. BlatterM. PicassoJ. Rappaz

Journal Of Computational Physics. 2009. DOI : 10.1016/j.jcp.2009.05.033.

An Anisotropic Error Estimator For The Crank-Nicolson Method: Application To A Parabolic Problem

A. LozinskiM. PicassoV. Prachittham

Siam Journal On Scientific Computing. 2009. DOI : 10.1137/080715135.

Space-time adaptive algorithms for parabolic problems

V. Prachittham / M. Picasso (Dir.)

Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4338.

Multiscale algorithm with patches of finite elements

M. PicassoJ. RappazV. Rezzonico

2008. 8th U.S. National Congress on Computational mechanics, Austin, TX, Jul 25-27, 2005. p. 477-491. DOI : 10.1002/cnm.1019.

A new algorithm to simulate the dynamics of a glacier: theory and applications

G. JouvetM. PicassoJ. RappazH. Blatter

Journal Of Glaciology. 2008. DOI : 10.3189/002214308787780049.

Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow

A. BonitoP. ClémentM. Picasso

Numerische Mathematik. 2007. DOI : 10.1007/s00211-007-0085-y.

Adaptive finite element simulations of dendritic growth including fluid flow induced by shrinkage

J. Narski / M. Picasso (Dir.)

Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3867.

Multiscale algorithm with patches of finite elements and applications

V. Rezzonico / M. Picasso (Dir.)

Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3782.

Adaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivatives

M. Picasso

Computer Methods in Applied Mechanics and Engineering. 2006. DOI : 10.1016/j.cma.2005.11.018.

Anisotropica posteriori error estimate for an optimal control problem governed by the heat equation

M. Picasso

Numerical Methods for Partial Differential Equations. 2006. DOI : 10.1002/num.20156.

Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows

A. BonitoP. ClémentM. Picasso

Journal of Evolution Equations. 2006. DOI : 10.1007/s00028-006-0251-1.

Numerical simulation of 3D viscoelastic flows with free surfaces

A. BonitoM. PicassoM. Laso

Journal of Computational Physics. 2006. DOI : 10.1016/j.jcp.2005.11.013.

Analysis and numerical simulation of viscoelastic flows

A. Bonito / M. Picasso (Dir.)

Lausanne, EPFL, 2006. DOI : 10.5075/epfl-thesis-3490.

Transient gene expression in suspension HEK-293 cells: application to large-scale protein production

L. BaldiN. MullerS. PicassoR. JacquetP. Girard  et al.

Biotechnology progress. 2005. DOI : 10.1021/bp049830x.

An adaptive algorithm for the Stokes problem using continuous, piecewise linear stabilized finite elements and meshes with high aspect ratio

M. Picasso

Applied Numerical Mathematics. 2005. DOI : 10.1016/j.apnum.2004.09.014.

Numerical simulation of free surface incompressible liquid flows surrounded by compressible gas

A. CaboussatM. PicassoJ. Rappaz

Journal of Computational Physics. 2005. DOI : 10.1016/j.jcp.2004.09.009.

PhD Students

Maude Girardin, Michele Barucca, Anna Peruso, Théophile Boinnard, Markus Renoldner, Ferhat Sindy

Past EPFL PhD Students

John Cathal Bonvin, Andrea Bonito, Vittoria Augusta Rezzonico Janka, Jacek Narski, Virabouth Prachittham, Wissam Hassan, Laurent Michel, Viljami Laurmaa, Jonathan Rochat, Thomas Hilke, Samuel Dubuis, Arwa Mrad, Dimitrios Gourzoulidis, Emile Soutter, Léo Aurélio Diserens, Paride Passelli

Guillaume Jouvet, Stéphane Flotron, Diane Sylvie Guignard, Jean Louis-Alexandre Fornerod

Courses

Advanced numerical analysis II

MATH-351

The student will learn state-of-the-art algorithms for solving differential equations. The analysis and implementation of these algorithms will be discussed in some detail.

Analyse numérique et optimisation

MATH-212

To learn how to solve numerically various mathematical problems. The theoretical properties of these methods will be investigated.

Analysis III

MATH-201

Vector Calculus, Complex Analysis