Marco Picasso
Adjunct Professor
EPFL SB MATH GR-PI
MA C2 632 (Bâtiment MA)
Station 8
1015 Lausanne
+41 21 693 42 47
+41 21 693 25 50
Office:
MA C2 632
EPFL
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Web site: Web site: https://apel.epfl.ch/
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.
Publications
Infoscience publications
Infoscience
Anisotropic Adaptive Finite Elements for a p-Laplacian Problem
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
Journal Of Computational Physics. 2024. DOI : 10.1016/j.jcp.2024.112846.Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis
Lausanne, EPFL, 2024. DOI : 10.5075/epfl-thesis-10482.An adaptive space-time algorithm for the incompressible Navier-Stokes equations
Journal Of Computational Physics. 2023. DOI : 10.1016/j.jcp.2023.112457.Numerical simulation of immiscible incompressible viscous, viscoelastic and elastic multiphase flows
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
International Journal For Numerical Methods In Fluids. 2022. DOI : 10.1002/fld.5122.An anisotropic adaptive method for the numerical approximation of orthogonal maps
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
Computational Methods In Applied Mathematics. 2022. DOI : 10.1515/cmam-2022-0036.Spectral analysis for transmission eigenvalue problems with and without the complementing conditions
Lausanne, EPFL, 2022. DOI : 10.5075/epfl-thesis-9964.A mixture model to take into account diluted gas in liquid flow: applications to aluminium electrolysis
Lausanne, EPFL, 2022. DOI : 10.5075/epfl-thesis-8924.A mixture model for a dilute dispersion of gas in a liquid flow: Mathematical analysis and application to aluminium electrolysis
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
Computational Methods In Applied Mathematics. 2021. DOI : 10.1515/cmam-2020-0046.A depth-averaged material point method for alpine mass movements
2021Numerical Methods for First and Second Order Fully Nonlinear Partial Differential Equations
Lausanne, EPFL, 2021. DOI : 10.5075/epfl-thesis-8521.Numerical simulation of sediment dynamics with free surface flows
Lausanne, EPFL, 2021. DOI : 10.5075/epfl-thesis-8195.An adaptive algorithm for the transport equation with time dependent velocity
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
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
IMA Journal of Numerical Analysis. 2019. DOI : 10.1093/imanum/dry048.An Easily Computable Error Estimator In Space And Time For The Wave Equation
ESAIM: Mathematical Modelling and Numerical Analysis. 2019. DOI : 10.1051/m2an/2018049.Méthodes numériques liées à la distribution d'alumine dans une cuve d'électrolyse d'aluminium
Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-8682.A Numerical Model For The Simulation Of Shallow Laser Surface Melting
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
Siam Journal On Scientific Computing. 2019. DOI : 10.1137/19M1243683.A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows
Computers & Fluids. 2018. DOI : 10.1016/j.compfluid.2018.04.002.A posteriori error estimation for the steady Navier-Stokes equations in random domains
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
2016An octree-based adaptive semi-Lagrangian free surface flow solver
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7011.A posteriori error estimations for elliptic partial differential equations with small uncertainties
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
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7113.An octree-based adaptive semi-Lagrangian VOF approach for simulating the displacement of free surfaces
COMPUTERS & FLUIDS. 2016. DOI : 10.1016/j.compfluid.2016.03.005.From the free surface flow of a viscoelastic fluid towards the elastic deformation of a solid
Comptes Rendus Mathematique. 2016. DOI : 10.1016/j.crma.2016.02.001.A posteriori error estimation for partial differential equations with random input data
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.Numerical Mathematics and Advanced Applications - ENUMATH 2013
2015Adaptive polynomial approximation by means of random discrete least squares
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
Computers & Fluids. 2015. DOI : 10.1016/j.compfluid.2015.01.002.MATHICSE Technical Report : A posteriori error estimations for elliptic partial differential equations with small uncertainties
2014Estimating the ice thickness of shallow glaciers from surface topography and mass-balance data with a shape optimization algorithm
Computers & Geosciences. 2014. DOI : 10.1016/j.cageo.2014.01.012.Bedrock topography reconstruction of glaciers from surface topography and mass-balance data
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
International Journal For Numerical Methods In Fluids. 2014. DOI : 10.1002/fld.3967.Estimating the ice thickness of mountain glaciers with a shape optimization algorithm using surface topography and mass-balance
Journal Of Inverse And Ill-Posed Problems. 2014. DOI : 10.1515/jip-2013-0016.Simulations numériques de phénomènes MHD-thermiques avec interface libre dans l'électrolyse de l'aluminium
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
Inverse Problems. 2013. DOI : 10.1088/0266-5611/29/3/035002.Estimating the Ice Thickness of Mountain Glaciers from Surface Topography and Mass-Balance Data
Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5940.A posteriori analysis of the Chorin-Temam scheme for Stokes equations
Comptes Rendus Mathematique. 2013. DOI : 10.1016/j.crma.2013.10.026.Anisotropic Error Estimates And Space Adaptivity For A Semidiscrete Finite Element Approximation Of The Transient Transport Equation
Siam Journal On Scientific Computing. 2013. DOI : 10.1137/120891320.Measurement of strain-rate components in a glacier with embedded inclinometers: numerical analysis
Journal Of Glaciology. 2013. DOI : 10.3189/2013JoG12J131.Algorithmes d'adaptation de maillages anisotropes et application à l'aérodynamique
Lausanne, EPFL, 2012. DOI : 10.5075/epfl-thesis-5304.A Numerical Study Of Some Hessian Recovery Techniques On Isotropic And Anisotropic Meshes
Siam Journal On Scientific Computing. 2011. DOI : 10.1137/100798715.Adaptive finite elements with large aspect ratio for electroosmotic and pressure-driven microflows
International Journal For Numerical Methods In Fluids. 2010. DOI : 10.1002/fld.2110.Numerical Study Of An Anisotropic Error Estimator In The L-2(H-1) Norm For The Finite Element Discretization Of The Wave Equation
Siam Journal On Scientific Computing. 2010. DOI : 10.1137/090778249.Modélisation, analyse mathématique et simulation numérique de la dynamique des glaciers
Lausanne, EPFL, 2010. DOI : 10.5075/epfl-thesis-4677.Some Mathematical and Numerical Aspects in Aluminum Production
Journal Of Scientific Computing. 2010. DOI : 10.1007/s10915-008-9227-3.A stopping criterion for the conjugate gradient algorithm in the framework of anisotropic adaptive finite elements
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
Journal Of Computational And Applied Mathematics. 2009. DOI : 10.1016/j.cam.2009.09.004.Space-time adaptive algorithms for parabolic problems : a posteriori error estimates and application to microfluidics
Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4338.Scientific Computing For Aluminum Production
International Journal Of Numerical Analysis And Modeling. 2009.An Anisotropic Error Estimator For The Crank-Nicolson Method: Application To A Parabolic Problem
Siam Journal On Scientific Computing. 2009. DOI : 10.1137/080715135.Numerical simulation of Rhonegletscher from 1874 to 2100
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
International Journal For Numerical Methods In Fluids. 2009. DOI : 10.1002/fld.1797.Multiscale algorithm with patches of finite elements
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
Journal Of Glaciology. 2008. DOI : 10.3189/002214308787780049.Adaptive finite element simulations of dendritic growth including fluid flow induced by shrinkage
Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3867.Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow
Numerische Mathematik. 2007. DOI : 10.1007/s00211-007-0085-y.Multiscale algorithm with patches of finite elements and applications
Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3782.Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows
Journal of Evolution Equations. 2006. DOI : 10.1007/s00028-006-0251-1.Numerical simulation of 3D viscoelastic flows with free surfaces
Journal of Computational Physics. 2006. DOI : 10.1016/j.jcp.2005.11.013.Anisotropica posteriori error estimate for an optimal control problem governed by the heat equation
Numerical Methods for Partial Differential Equations. 2006. DOI : 10.1002/num.20156.Adaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivatives
Computer Methods in Applied Mechanics and Engineering. 2006. DOI : 10.1016/j.cma.2005.11.018.Analysis and numerical simulation of viscoelastic flows : deterministic and stochastic models
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
Applied Numerical Mathematics. 2005. DOI : 10.1016/j.apnum.2004.09.014.Numerical simulation of free surface incompressible liquid flows surrounded by compressible gas
Journal of Computational Physics. 2005. DOI : 10.1016/j.jcp.2004.09.009.Constitutive relations for viscoleastic fluid models derived from kinetic theory
Dispersive Transport Equations and Multiscale Models; 2004. p. 77 - 89.Numerical simulation of the motion of a two-dimensional glacier
International Journal for Numerical Methods in Engineering. 2004. DOI : 10.1002/nme.997.Implicit micro-macro methods
Journal of Non-Newtonian Fluid Mechanics. 2004. DOI : 10.1016/j.jnnfm.2003.11.013.Adaptive finite elements with high aspect ratio for the computation of coalescence using a phase-field model
Journal of Computational Physics. 2004. DOI : 10.1016/j.jcp.2003.09.021.Numerical simulation of three-dimensional free surface flows
International Journal for Numerical Methods in Fluids. 2003. DOI : 10.1002/fld.532.Anisotropic, adaptive finite elements for the computation of a solutal dendrite
Interfaces and Free Boundaries. 2003. DOI : 10.4171/IFB/74.Calculation of variable-topology free surface flows using CONNFFESSIT
Journal of Non-Newtonian Fluid Mechanics. 2003. DOI : 10.1016/S0377-0257(03)00103-4.Anisotropic error indicator based on Zienkiewicz-Zhu error estimator: Application to elliptic and parabolic problems
Siam Journal on Scientific Computing. 2003. DOI : 10.1137/S1064827501398578.Stabilized finite elements on anisotropic meshes: A priori error estimates for the advection-diffusion and the Stokes problems
Siam Journal on Numerical Analysis. 2003. DOI : 10.1137/S0036142902403759.Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator
Communications in Numerical Methods in Engineering. 2003. DOI : 10.1002/cnm.546.A posteriori error estimates and adaptive finite elements for a nonlinear parabolic problem related to solidification
Computer Methods in Applied Mechanics and Engineering. 2003. DOI : 10.1016/S0045-7825(02)00550-9.Viscoelastic fluid models derived from kinetic equations for polymers
Siam Journal on Applied Mathematics. 2002. DOI : 10.1137/S0036139900374404.GLS and EVSS methods for a three-field Stokes problem arising from viscoelastic flows
Computer Methods in Applied Mechanics and Engineering. 2001. DOI : 10.1016/S0045-7825(00)00307-8.Existence, a priori and a posteriori error estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows
Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique. 2001. DOI : 10.1051/m2an:2001140.Stability of time-splitting schemes for the Stokes problem with stabilized finite elements
Numerical Methods for Partial Differential Equations. 2001. DOI : 10.1002/num.1031.Variance reduction methods for CONNFFESSIT-like simulations
Journal of Non-Newtonian Fluid Mechanics. 1999. DOI : 10.1016/S0377-0257(98)00179-7.Numerical simulation of free surface flows
Journal of Computational Physics. 1999. DOI : 10.1006/jcph.1999.6346.Introduction à l'analyse numérique
Presses Polytechniques et Universitaires Romandes.Adaptive finite elements for a linear parabolic problem
Computer Methods in Applied Mechanics and Engineering. 1998. DOI : 10.1016/S0045-7825(98)00121-2.2-D time-dependent viscoelastic flow calculations using CONNFFESSIT
Aiche Journal. 1997. DOI : 10.1002/aic.690430404.Probabilistic numerical methods for physical and financial problems
Computers in Physics. 1997. DOI : 10.1063/1.168611.Error estimates and adaptive finite elements for nonlinear diffusion-convection problems
Mathematical Models & Methods in Applied Sciences. 1996. DOI : 10.1142/S0218202596000286.An Adaptive Finite-Element Algorithm for a 2-Dimensional Stationary Stefan-Like Problem
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
Journal De Physique Iv. 1994. DOI : 10.1051/jp4:1994404.A Simple but Realistic Model for Laser Cladding
Metallurgical and Materials Transactions B-Process Metallurgy and Materials Processing Science. 1994. DOI : 10.1007/BF02665211.Simulation numérique des traitements de surface par laser
Lausanne, EPFL, 1992. DOI : 10.5075/epfl-thesis-1011.Teaching & PhD
Teaching
Mathematics
PhD Students
Barucca Michele, Boinnard Théophile, Girardin Maude, Peruso Anna, Renoldner Markus, Sindy Ferhat,Past EPFL PhD Students
Diserens Léo Aurélio , Dubuis Samuel , Flotron Stéphane , Fornerod Jean Louis-Alexandre , Gourzoulidis Dimitrios , Guignard Diane Sylvie , Hassan Wissam , Hilke Thomas Frédéric , Jouvet Guillaume , Laurmaa Viljami Henrikki , Michel Laurent , Mrad Arwa , Narski Jacek , Passelli Paride , Prachittham Virabouth , Rezzonico Janka Vittoria Augusta , Rochat Jonathan , Soutter Emile Tryphon Pierre ,Courses
Analyse numérique et optimisation
To learn how to solve numerically various mathematical problems. The theoretical properties of these methods will be investigated.
Advanced numerical analysis II
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.