Publications de Marco Discacciati

The Interface Control Domain Decomposition Method For Stokes-Darcy Coupling

The interface control domain decomposition (ICDD) method of Discacciati, Gervasio, and Quarteroni [SIAM J. Control Optim., 51 (2013), pp. 3434-3458, doi:10.1137/120890764; J. Coupled Syst. Multiscale Dyn., 1 (2013), pp. 372-392, doi:10.1166/jcsmd.2013.1026 ...

Siam Publications2016

Interface control domain decomposition methods for heterogeneous problems

Alfio Quarteroni, Marco Discacciati

This paper is concerned with the solution of heterogeneous problems by the interface control domain decomposition (ICDD) method, a strategy introduced for the solution of partial differential equations in computational domains partitioned into subdomains t ...

Wiley-Blackwell2014

The Interface Control Domain Decomposition (Icdd) Method For Elliptic Problems

Alfio Quarteroni, Marco Discacciati

Interface controls are unknown functions used as Dirichlet or Robin boundary data on the interfaces of an overlapping decomposition designed for solving second order elliptic boundary value problems. The controls are computed through an optimal control pro ...

Society for Industrial and Applied Mathematics2013

Numerical simulation of orbitally shaken viscous fluids with free surface

Florian Maria Wurm, Alfio Quarteroni, Marco Discacciati, David Hacker, Stéphanie Tissot, Samuel Quinodoz

Orbitally shaken bioreactors are an emerging alternative to stirred-tank bioreactors for large-scale mammalian cell culture, but their fluid dynamics is still not well defined. Among the theoretical and practical issues that remain to be resolved, the char ...

Wiley-Blackwell2013

Numerical Approximation Of Internal Discontinuity Interface Problems

Alfio Quarteroni, Marco Discacciati, Samuel Quinodoz

This work focuses on the finite element discretization of boundary value problems whose solution features either a discontinuity or a discontinuous conormal derivative across an interface inside the computational domain. The interface is characterized via ...

Siam Publications2013

Hydrodynamic stress in orbitally shaken bioreactors

Florian Maria Wurm, Lucia Baldi Unser, Alfio Quarteroni, Mohamed Farhat, Marco Discacciati, David Hacker, Stéphanie Tissot, Martino Reclari, Samuel Quinodoz, Matthieu Dreyer, Dominique Terry Monteil Jr

2011

Modeling dimensionally-heterogeneous problems: analysis, approximation and applications

Alfio Quarteroni, Marco Discacciati

In the present work a general theoretical framework for coupled dimensionally-heterogeneous partial differential equations is developed. This is done by recasting the variational formulation in terms of coupling interface variables. In such a general setti ...

Springer2011

Numerical analysis of the Navier-Stokes/Darcy coupling

Alfio Quarteroni, Marco Discacciati

We consider a differential system based on the coupling of the Navier-Stokes and Darcy equations for modeling the interaction between surface and porous media flows. We formulate the problem as an interface equation, we analyze the associated (nonlinear) S ...

Springer2010

Efficient oxygen transfer by surface aeration in shaken cylindrical containers for mammalian cell cultivation at volumetric scales up to 1,000 liters

Florian Maria Wurm, Alfio Quarteroni, Mathieu Benjamin Stettler, Marco Discacciati, Nicola Parolini, David Hacker, Xiuwei Zhang, Marco Perrone, Dario De Sanctis

Cylindrical containers agitated by orbital shaking are being developed as simple and cost-effective bioreactor systems for the cultivation of mammalian cells. Here the oxygen transfer capacities of containers with nominal volumes from 50 mL to 2000 L were ...

2009

NavierStokes/Darcy coupling: modeling, analysis and numerical approximation

Alfio Quarteroni, Marco Discacciati

This paper is an overview of known and new results about the coupling of Navier-Stokes and Darcy equations to model the filtration of incompressible fluids through porous media. We discuss coupling conditions and we analyze the global coupled model in orde ...

2009

Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling

Alfio Quarteroni, Marco Discacciati

In this paper we consider a coupled system made of the Stokes and Darcy equations, and we propose some iteration-by-subdomain methods based on Robin conditions on the interface. We prove the convergence of these algorithms, and for suitable finite element ...

2007

A domain decomposition framework for fluid-structure interaction problems

Alfio Quarteroni, Simone Deparis, Marco Discacciati

In this note we review some classical algorithms for fluid-structure interaction problems and we propose an alternative viewpoint mutuated from the domain decomposition theory. This approach yields preconditioned Richardson iterations on the Steklov-Poinca ...

2006

Fluid-structure algorithms based on Steklov-Poincaré operators

Alfio Quarteroni, Simone Deparis, Marco Discacciati, Gilles Fourestey

In this paper we review some classical algorithms for fluid-structure interaction problems and we propose an alternative viewpoint mutuated from the domain decomposition theory. This approach yields preconditioned Richardson iterations on the Steklov-Poinc ...

2006

Iterative methods for Stokes/Darcy coupling

Marco Discacciati

We present iterative subdomain methods based on a domain decomposition approach to solve the coupled Stokes/Darcy problem using finite elements. The dependence of the convergence rate on the grid parameter h and on the physical data is discussed; some diff ...

2005