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Analysis and numerical simulation of viscoelastic flows

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Numerical analysis of optimization-constrained differential equations

Chantal Landry

The modeling of a system composed by a gas phase and organic aerosol particles, and its numerical resolution are studied. The gas-aerosol system is modeled by ordinary differential equations coupled with a mixed-constrained optimization problem. This coupl ...

EPFL2009

Numerical Models for Differential Problems

Alfio Quarteroni

In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as w ...

Springer2009

Simulation numérique de phénomènes MHD

Gilles Steiner

The purpose of this thesis is the study, from the numerical simulation point of view, of the aluminum electrolysis process. Navier-Stokes equations for the computation of a two fluids flow with free interface are coupled with Maxwell equations describing t ...

EPFL2009

Krylov subspace methods for linear systems with tensor product structure

Daniel Kressner, Christine Tobler

The numerical solution of linear systems with certain tensor product structures is considered. Such structures arise, for example, from the finite element discretization of a linear PDE on a d-dimensional hypercube. Linear systems with tensor product struc ...

Society for Industrial and Applied Mathematics2009

Cardiovascular Mathematics

Alfio Quarteroni, Luca Formaggia

Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can help the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical ima ...

Springer2009

Scientific Computing For Aluminum Production

Jacques Rappaz, Marco Picasso, Gilles Steiner, 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

Space-time adaptive algorithms for parabolic problems

Virabouth Prachittham

We developed a space and time adaptive method to simulate electroosmosis and mass transport of a sample concentration within a network of microchannels. The space adaptive criteria is based on an error estimator derived using anisotropic interpolation esti ...

EPFL2009

Rigorous Investigation of RF Breakdown Effects in High Power Microstrip Passive Circuits

Juan Ramon Mosig, Michael Mattes

This work presents a new rigorous investigation of corona effects in microstrip components. To carry out the investigation, a new software tool has been developed. The new tool first calculates the electromagnetic fields in complex microstrip structures us ...

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 subject-specific software solution for the modeling and the visualization of muscles deformations

Daniel Thalmann, Ronan Boulic, Anders Sandholm, Xavier Maurice

Today, to create and to simulate a virtual anatomical version of a subject is useful in the decision process of surgical treatments. The muscular activity is one of the factors which can contribute to abnormal movements such as in spasticity or static cont ...

Springer-Verlag2009