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Alfio Quarteroni

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Publications associées (251)

Use of Orbital Shaken Disposable Bioreactors for Mammalian Cell Cultures from the Milliliter-Scale to the 1,000-Liter Scale

Florian Maria Wurm, Alfio Quarteroni, Mathieu Benjamin Stettler, David Hacker, Xi Zhang

Driven by the commercial success of recombinant biopharmaceuticals, there is an increasing demand for novel mammalian cell culture bioreactor systems for the rapid production of biologicals that require mammalian protein processing. Recently, orbitally sha ...

2009

Mathematics in the Wind

Alfio Quarteroni, Nicola Parolini

In any sport or human endeavor, coaches regularly state “play to your strengths.” One might not guess that a land-locked, mountainous country like Switzerland would have strengths that would give them a chance at winning the oldest, most competitive sailin ...

2009

A 3D Finite element model for free-surface flows

Alfio Quarteroni, Edie Miglio

2009

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

Mathematicals Models in Science and Engineering

Alfio Quarteroni

Mathematical models, along with scientific theory and practical experiments, are a crucial part of modern engineering and science. The author takes a look at the role mathematical models play in topics ranging from vascular simulation to weather forecastin ...

2009

Reduced Basis Method for Parametrized Differential Algebraic Equations

Alfio Quarteroni, Luca Dede'

Parametrized systems of Differential Algebraic Equations (DAEs) stand at the base of several mathematical models in Microelectronics, Computational Fluid Dynamics and other Engineering fields. Since the dimension of these systems can be huge, high computat ...

2009

Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction

Alfio Quarteroni, Annalisa Quaini

The interaction between a fluid and a poroelastic structure is a complex problem that couples the Navier-Stokes equations with the Biot system. The finite element approximation of this problem is involved due to the fact that both subproblems are indefinit ...

Elsevier2009

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

Finite-element preconditioning of G-NI spectral methods

Alfio Quarteroni

Several old and new finite-element preconditioners for nodal-based spectral discretizations of −laplace(u) = f in the domain

\Omega = (-1, 1)^d

(d = 2 or 3), with Dirichlet or Neumann boundary conditions, are considered and compared in terms of bothcondi ...

2009

On the coupling of 1D and 3D Diffusion-Reaction Equations: Application to Tissue Pefusion Problems

Alfio Quarteroni, Carlo D'Angelo

In this paper we consider the coupling between two diffusion-reaction problems, one taking place in a three-dimensional domain Ω, the other in a one-dimensional subdomain Λ. This coupled problem is the simplest model of fluid flow in a three-dimensional po ...

2008

Reduced basis method for linear elasticity problems with many parameters

Alfio Quarteroni, Gianluigi Rozza

he reduced basis (RB) methods are proposed here for the solution of parametrized equations in linear elasticity problems. The fundamental idea underlying RB methods is to decouple the generation and projection stages (offline/online computational procedure ...

2008

Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect

Alfio Quarteroni, Annalisa Quaini

In this article we address the numerical simulation of fluid-structure interaction (FSI) problems featuring large added-mass effect. We analyze different preconditioners for the coupled system matrix obtained after space- time discretization and linearizat ...

2008

Stabilization strategies for high order methods for transport dominated problems

Alfio Quarteroni, Benjamin Stamm, Erik Burman

Standard high order Galerkin methods, such as pure spectral or high order finite element methods, have insufficient stability properties when applied to transport dominated problems. In this paper we review some stabilization strategies for pure spectral m ...

2008

Splitting methods based on algebraic factorization for fluid-structure interaction

Alfio Quarteroni, Annalisa Quaini

We discuss in this paper the numerical approximation of fluid-structure interaction (FSI) problems dealing with strong added-mass effect. We propose new semi-implicit algorithms based on inexact block-LU factorization of the linear system obtained after th ...

2008

Modeling Of Salt Tectonics

Alfio Quarteroni

In this work a general framework for the simulation of sedimentary basins in presence of salt structures is addressed. Sediments and evaporites are modeled as non-Newtonian fluids and the thermal effects induced by the presence of salt are taken into accou ...

2007

Numerical solution of parametrized Navier-Stokes equations by reduced basis methods

Alfio Quarteroni, Gianluigi Rozza

We apply the reduced basis method to solve Navier-Stokes equations in parametrized domains. Special attention is devoted to the treatment of the parametrized nonlinear transport term in the reduced basis framework, including the case of nonaffine parametri ...

2007

A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method

Alfio Quarteroni, Annalisa Quaini

We address the numerical simulation of fluid-structure interaction problems characterized by a strong added-mass effect. We propose a semi-implicit coupling scheme based on an algebraic fractional-step method. The basic idea of a semi-implicit scheme consi ...

2007

Reduced basis methods for optimal control of advection-diffusion problems

Alfio Quarteroni, Gianluigi Rozza, Annalisa Quaini

RAS and University of Houston2007

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 mathematical approach in the design of arterial bypass using unsteady Stokes equations

Alfio Quarteroni, Gianluigi Rozza

In this paper we present an approach for the study of aorto-coronaric bypass anastomoses configurations using unsteady Stokes equations. The theory of optimal control based on adjoint formulation is applied in order to optimize the shape of the zone of the ...

2006

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