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Marco Picasso

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Related publications (49)

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

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

In this article, a finite element error analysis is performed on a class of linear and nonlinear elliptic problems with small uncertain input. Using a perturbation approach, the exact (random) solution is expanded up to a certain order with respect to a pa ...

2016

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

Marco Picasso

Spaces of continuous piecewise linear finite elements are considered to solve a Poisson problem, and several numerical methods are investigated to recover second derivatives. Numerical results on 2D and 3D isotropic and anisotropic meshes indicate that the ...

2011

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

Jacques Rappaz, Marco Picasso, Emile Tryphon Pierre Soutter

A mixture model to take into account the flow of small carbon dioxide bubbles dissolved in a liquid is presented. The model describes the evolution of the velocity fields (mixture and gas), the pressure and the volume fraction of gas. The system of equatio ...

2021

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

Marco Picasso

An adaptive algorithm is proposed for solving the Stokes problem with continuous, piecewise linear stabilized finite elements and meshes with high aspect ratio. Anisotropic, a posteriori error estimates in the H-1 x L-2 norm are derived, the constant being ...

2005

Error assessment of an adaptive finite elements-neural networks method for an elliptic parametric PDE

Maude Girardin, Marco Picasso, Alexandre Caboussat

We present a finite elements-neural network approach for the numerical approximation of parametric partial differential equations. The algorithm generates training data from finite element simulations, and uses a data -driven (supervised) feedforward neura ...

Elsevier Science Sa2024

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

Marco Picasso, Alexandre Caboussat

A numerical method for the solution to the density-dependent incompressible Navier-Stokes equations modeling the flow of N immiscible incompressible liquid phases with a free surface is proposed. It allows to model the flow of an arbitrary number of liquid ...

Wiley-Blackwell2014

Multiscale algorithm with patches of finite elements

Jacques Rappaz, Marco Picasso, Vittoria Augusta Rezzonico Janka

We develop a discretization and solution technique for elliptic problems whose solutions may present strong variations, singularities, boundary layers and oscillations in localized regions. We start with a coarse finite element discretization with a mesh s ...

2008

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

Marco Picasso

The free surface flow of an Oldroyd-B viscoelastic fluid is considered, following A. Bonito, M. Picasso, and M. Laso (2006)[1]. When removing a term in the extra-stress constitutive relation, the description of an elastic incompressible solid is obtained, ...

Elsevier France-Editions Scientifiques Medicales Elsevier2016

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

Martinus Adela Maria Gijs, Marco Picasso

A space–time adaptive method is presented for the numerical simulation of mass transport in electroosmotic and pressure-driven microflows in two space dimensions. The method uses finite elements with large aspect ratio, which allows the electroosmotic flow ...

Wiley-Blackwell2010

Numerical simulation of Rhonegletscher from 1874 to 2100

Jacques Rappaz, Marco Picasso, Guillaume Jouvet

Due to climatic change, many Alpine glaciers have significantly retreated during the last century. In this study we perform the numerical simulation of the temporal and spatial change of Rhonegletscher, Swiss Alps, from 1874 to 2007, and from 2007 to 2100. ...

Elsevier2009

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

Marco Picasso, Laurent Michel

Three methods based on the three-dimensional shallow ice approximation of glacier flow are devised that infer a glacier's subglacial topography from the observation of its time-evolving surface and mass balance. The quasi-stationary inverse method relying ...

Springer2014

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

Marco Picasso, Samuel Dubuis

A space-time adaptive algorithm is presented to solve the incompressible Navier-Stokes equations. Time discretization is performed with the BDF2 method while continuous, piecewise linear anisotropic finite elements are used for the space discretization. Th ...

Academic Press Inc Elsevier Science2023

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

Marco Picasso, Laurent Michel

We present a shape optimization algorithm to estimate the ice thickness distribution within a two-dimensional, non-sliding mountain glacier, given a transient surface geometry and a mass-balance distribution. The approach is based on the minimization of th ...

De Gruyter2014

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

Jacques Rappaz, Marco Picasso

A numerical model to compute the dynamics of glaciers is presented. Ice damage due to cracks or crevasses can be taken into account whenever needed. This model allows simulations of the past and future retreat of glaciers, the calving process or the break- ...

2011

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

Marco Picasso, Alexandre Caboussat, Alexandre Masserey, Julien Hess

We present a numerical model for the approximation of multiphase flows with free surfaces and strong interfacial effects. The model relies on the multiphase incompressible Navier-Stokes equations, and includes surface tension effects on the interfaces betw ...

Academic Press Inc Elsevier Science2024

Scientific Computing For Aluminum Production

Jacques Rappaz, Marco Picasso, Gilles Steiner, Michel Flück, Thomas Hofer

Numerical simulation in aluminum production envolves many different topics, this paper is dedicated to some aspects of two of them. In the first part, a numerical approach for the computation of the motion of the fluids in an electrolitic cell is presented ...

2009

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

Jacques Rappaz, Marco Picasso, Guillaume Jouvet

We propose a novel Eulerian algorithm to compute the changes of a glacier geometry for given mass balances. The surface of a glacier is obtained by solving a transport equation for the volume of fluid (VOF). The surface mass balance is taken into account b ...

International Glaciological Society2008

An anisotropic adaptive method for the numerical approximation of orthogonal maps

Marco Picasso, Alexandre Caboussat, Dimitrios Gourzoulidis

Orthogonal maps are two-dimensional mappings that are solutions of the so-called origami problem obtained when folding a paper. These mappings are piecewise linear, and the discontinuities of their gradient form a singular set composed of straight lines re ...

ELSEVIER2022

A Numerical Model For The Simulation Of Shallow Laser Surface Melting

Marco Picasso, Alexandre Caboussat, Alexandre Masserey, Julien Hess

We present a multi-physics model for the approximation of the coupled system formed by the temperature-dependent Navier-Stokes equations with free surfaces. The main application is the industrial process of shallow laser surface melting (SLSM), for laser p ...

INT CENTER NUMERICAL METHODS ENGINEERING2019

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

Marco Picasso

Elsevier2006