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
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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. 2024-06-26. DOI : 10.1515/cmam-2022-0205.Exciton migration in two-dimensional materials
Communications Physics. 2024-06-18. DOI : 10.1038/s42005-024-01689-4.A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects
Journal Of Computational Physics. 2024-02-26. DOI : 10.1016/j.jcp.2024.112846.Error assessment of an adaptive finite elements-neural networks method for an elliptic parametric PDE
Computer Methods In Applied Mechanics And Engineering. 2024-01-27. DOI : 10.1016/j.cma.2024.116784.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. 2023-09-19. 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. 2022-06-20. DOI : 10.1002/fld.5122.An anisotropic adaptive method for the numerical approximation of orthogonal maps
Journal Of Computational And Applied Mathematics. 2022-06-01. 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. 2022-05-26. DOI : 10.1515/cmam-2022-0036.Multi-Level Monte Carlo Methods for Uncertainty Quantification and Risk-Averse Optimisation
Lausanne, EPFL, 2022. DOI : 10.5075/epfl-thesis-10031.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. 2021-03-29. DOI : 10.1016/j.camwa.2021.03.007.Accurate isogeometric methods for trimmed shell structures.
Lausanne, EPFL, 2021. DOI : 10.5075/epfl-thesis-8724.A depth-averaged material point method for alpine mass movements
2021Probabilistic and Bayesian methods for uncertainty quantification of deterministic and stochastic differential equations
Lausanne, EPFL, 2021. DOI : 10.5075/epfl-thesis-8711.Numerical Methods for First and Second Order Fully Nonlinear Partial Differential Equations
Lausanne, EPFL, 2021. DOI : 10.5075/epfl-thesis-8521.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. 2021-01-01. DOI : 10.1515/cmam-2020-0046.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. 2020-08-28. DOI : 10.1007/s42452-020-03283-z.Numerical methods for deterministic and stochastic differential equations with multiple scales and high contrasts
Lausanne, EPFL, 2020. DOI : 10.5075/epfl-thesis-7445.High-order essentially nonoscillatory methods based on radial basis functions
Lausanne, EPFL, 2020. DOI : 10.5075/epfl-thesis-8411.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. 2019-10-01. DOI : 10.1093/imanum/dry048.An Easily Computable Error Estimator In Space And Time For The Wave Equation
ESAIM: Mathematical Modelling and Numerical Analysis. 2019-06-05. DOI : 10.1051/m2an/2018049.A Numerical Model For The Simulation Of Shallow Laser Surface Melting
2019-01-01. 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. 2019-01-01. DOI : 10.1137/19M1243683.GPU-Accelerated Finite Volume Particle Simulation of Free Jet Deviation by Multi-jet Rotating Pelton Runner
Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-7256.Méthodes numériques liées à la distribution d'alumine dans une cuve d'électrolyse d'aluminium
Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-8682.Penalization and Bayesian numerical methods for multiscale inverse problems
Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-9360.Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters
Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-7233.A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows
Computers & Fluids. 2018-08-30. DOI : 10.1016/j.compfluid.2018.04.002.Run-Up Simulation of Impulse-Generated Solitary Waves
Journal of Engineering Mechanics. 2018. DOI : 10.1061/(ASCE)EM.1943-7889.0001385.An Adaptive Algorithm for the Time Dependent Transport Equation with Anisotropic Finite Elements and the Crank-Nicolson Scheme
JOURNAL OF SCIENTIFIC COMPUTING. 2018. DOI : 10.1007/s10915-017-0537-1.Scaling and Resilience in Numerical Algorithms for Exascale Computing
Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8926.Optimization based methods for highly heterogeneous multiscale problems and multiscale methods for elastic waves
Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7467.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
2016-04-18A posteriori error estimation for partial differential equations with random input data
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.Approximation numérique des écoulements turbulents dans des cuves d'électrolyse de l'aluminium
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7113.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.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.An 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.Stabilized Numerical Methods for Stochastic Differential Equations driven by Diffusion and Jump-Diffusion Processes
Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6771.Numerical Mathematics and Advanced Applications - ENUMATH 2013
2015Application aux équations aux dérivées partielles d'une méthode par point fixe et le problème des deux puits
Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6693.An anisotropic adaptive finite element algorithm for transonic viscous flows around a wing
Computers & Fluids. 2015. DOI : 10.1016/j.compfluid.2015.01.002.Finite Particle Flow Simulation of Free Jet Deviation by Rotating Pelton Buckets
Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6470.Adaptive 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.MATHICSE Technical Report : A posteriori error estimations for elliptic partial differential equations with small uncertainties
2014-07-21Estimating 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.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.Mathematical and Numerical Modeling of Healthy and Unhealthy Cerebral Arterial Tissues
Lausanne, EPFL, 2014. DOI : 10.5075/epfl-thesis-6232.Estimating 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.Characterization of Surface Cracks Through The Local Magnetic Field Induced by Eddy Currents
2014. 17th International Workshop on Electromagnetic Nondestructive Evaluation, 17th International Workshop on Electromagnetic Nondestructive Evaluation. p. 227-237. DOI : 10.3233/978-1-61499-354-4-227.The High-Resolution Magnetic Camera: A Novel Sensor for Eddy Current Testing
2014. 17th International Workshop on Electromagnetic Nondestructive Evaluation, Rio de Janeiro, BRAZIL, JUL 29-AUG 01, 2012. p. 15-23. DOI : 10.3233/978-1-61499-354-4-15.A posteriori analysis of the Chorin-Temam scheme for Stokes equations
Comptes Rendus Mathematique. 2013. DOI : 10.1016/j.crma.2013.10.026.Parallel algorithms and efficient implementation techniques for finite element approximations
Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5980.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.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.Estimating the Ice Thickness of Mountain Glaciers from Surface Topography and Mass-Balance Data
Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5940.Robust Solution Methods for Nonlinear Eigenvalue Problems
Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5920.Simulations numériques de phénomènes MHD-thermiques avec interface libre dans l'électrolyse de l'aluminium
Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5738.Phase-field modeling of micropore formation in a solidifying alloy
Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5653.Perceptual 3D rendering based on principles of analytical cubism
Computers & Graphics. 2012. DOI : 10.1016/j.cag.2012.06.003.Algorithmes d'adaptation de maillages anisotropes et application à l'aérodynamique
Lausanne, EPFL, 2012. DOI : 10.5075/epfl-thesis-5304.Modelling and Numerical Simulation of the Dynamics of Glaciers Including Local Damage Effects
Mathematical Modelling Of Natural Phenomena. 2011. DOI : 10.1051/mmnp/20116510.A Numerical Study Of Some Hessian Recovery Techniques On Isotropic And Anisotropic Meshes
Siam Journal On Scientific Computing. 2011. DOI : 10.1137/100798715.Some Mathematical and Numerical Aspects in Aluminum Production
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
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.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.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.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.Scientific Computing For Aluminum Production
International Journal Of Numerical Analysis And Modeling. 2009.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.Numerical simulation of Rhonegletscher from 1874 to 2100
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
Siam Journal On Scientific Computing. 2009. DOI : 10.1137/080715135.Space-time adaptive algorithms for parabolic problems
Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4338.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.Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow
Numerische Mathematik. 2007. DOI : 10.1007/s00211-007-0085-y.Interior penalty finite element approximation of Navier-Stokes equations and application to free surface flows
Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3971.Adaptive finite element simulations of dendritic growth including fluid flow induced by shrinkage
Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3867.Multiscale algorithm with patches of finite elements and applications
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
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
Numerical Methods for Partial Differential Equations. 2006. DOI : 10.1002/num.20156.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.Analysis and numerical simulation of viscoelastic flows
Lausanne, EPFL, 2006. DOI : 10.5075/epfl-thesis-3490.Optimal control of mass transfer in peritoneal dialysis
Lausanne, EPFL, 2006. DOI : 10.5075/epfl-thesis-3461.Transient gene expression in suspension HEK-293 cells: application to large-scale protein production
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
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.Simulation numérique des phénomènes thermiques et magnétohydrodynamiques dans une cellule de Hall-Héroult
Lausanne, EPFL, 2005. DOI : 10.5075/epfl-thesis-3185.Mathematical analysis and numerical simulation of the motion of a glacier
Lausanne, EPFL, 2005. DOI : 10.5075/epfl-thesis-3184.Teaching & PhD
Teaching
Mathematics