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Infoscience
Error Assessment for Finite Elements/Neural Networks Methods Applied to Parametric PDEs
Lausanne, EPFL, 2025. DOI : 10.5075/epfl-thesis-11474.Numerical Analysis of a Simplified Unified Model for Viscoelastic Fluids and Elastic Solids
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.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.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.Spectral analysis for transmission eigenvalue problems with and without the complementing conditions
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
Computers & Mathematics with Applications. 2021. DOI : 10.1016/j.camwa.2021.03.007.Numerical 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.A depth-averaged material point method for alpine mass movements
2021A 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.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.Numerical Approximation Of Orthogonal Maps
Siam Journal On Scientific Computing. 2019. DOI : 10.1137/19M1243683.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.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
2016A posteriori error estimation for partial differential equations with random input data
Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.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.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.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.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.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 an inverse approach using surface topography and mass-balance
Inverse Problems. 2013. DOI : 10.1088/0266-5611/29/3/035002.Simulations numériques de phénomènes MHD-thermiques avec interface libre dans l'électrolyse de l'aluminium
Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5738.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.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.A posteriori analysis of the Chorin-Temam scheme for Stokes equations
Comptes Rendus Mathematique. 2013. DOI : 10.1016/j.crma.2013.10.026.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.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.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.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.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.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.Scientific Computing For Aluminum Production
International Journal Of Numerical Analysis And Modeling. 2009.Space-time adaptive algorithms for parabolic problems : a posteriori error estimates and application to microfluidics
Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4338.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.A new algorithm to simulate the dynamics of a glacier: theory and applications
Journal Of Glaciology. 2008. DOI : 10.3189/002214308787780049.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.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.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.Numerical simulation of 3D viscoelastic flows with free surfaces
Journal of Computational Physics. 2006. DOI : 10.1016/j.jcp.2005.11.013.Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows
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
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.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.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.Constitutive relations for viscoleastic fluid models derived from kinetic theory
Dispersive Transport Equations and Multiscale Models; 2004. p. 77 - 89.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.Implicit micro-macro methods
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
International Journal For Numerical Methods In Engineering. 2004. DOI : 10.1002/nme.997.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.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.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, adaptive finite elements for the computation of a solutal dendrite
Interfaces and Free Boundaries. 2003. DOI : 10.4171/IFB/74.Numerical simulation of three-dimensional free surface flows
International Journal for Numerical Methods in Fluids. 2003. DOI : 10.1002/fld.532.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.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.Viscoelastic fluid models derived from kinetic equations for polymers
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
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
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
Numerical Methods for Partial Differential Equations. 2001. DOI : 10.1002/num.1031.Numerical simulation of free surface flows
Journal of Computational Physics. 1999. DOI : 10.1006/jcph.1999.6346.Variance reduction methods for CONNFFESSIT-like simulations
Journal of Non-Newtonian Fluid Mechanics. 1999. DOI : 10.1016/S0377-0257(98)00179-7.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.Infoscience
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.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.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.Doctorant·es actuel·les
Maude Girardin, Michele Barucca, Anna Peruso, Théophile Boinnard, Markus Renoldner, Ferhat Sindy
A dirigé les thèses EPFL de
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
Cours
Advanced numerical analysis II
L'étudiant apprendra à utiliser et analyser algorithmes avancés pour la résolution d'équations différentielles ordinaires, de systèmes non linéaires et des problèmes d'optimisation.
Analyse numérique et optimisation
L'étudiant apprendra à résoudre numériquement divers problèmes mathématiques. Les propriétés théoriques de ces méthodes seront discutées.