Publications related to Tomography-based determination of permeability and Dupuit-Forchheimer coefficient of characteristic snow samples

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

We analyze the accuracy of the discrete least-squares approximation of a function

u

in multivariate polynomial spaces

P_\Lambda:=span\{y\mapsto y^\nu \,: \, \nu\in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma:=[-1,1]^d

, based on the s ...

2017

Propagation of a height contained hydraulic fracture in turbulent flow regimes

Brice Tanguy Alphonse Lecampion, Haseeb Zia

We investigate theoretically and numerically the impact of the transition from laminar to turbulent flow on the propagation of a height contained hydraulic fracture (i.e. PKN geometry). We account for the inertial terms in the balance of momentum and expre ...

Pergamon-Elsevier Science Ltd2017

Randomized Projections for Improved Sensing and Imaging in Positron Emission Tomography

Positron Emission Tomography (PET) aims at recovering the metabolic activity of an organ of interest. Established algorithms implemented in contemporary PET scans are based on an approximation of the inverse Radon transform, resulting in a suboptimal estim ...

2017

Snow avalanches striking water basins: behaviour of the avalanche's centre of mass and front.

Christophe Ancey

We study the behaviour of a low-density granular material entering a water basin by means of a simplified two-dimensional model, with the aim to understand the dynamics of a snow avalanche impacting a water basin like an alpine lake or a fjord. The low den ...

Springer Verlag2017

A 1D model of the arterial circulation in mice

Nikolaos Stergiopoulos, Lydia Aslanidou, Philippe Reymond, Bram Trachet, Patrick Segers

At a time of growing concern over the ethics of animal experimentation, mouse models are still an indispensable source of insight into the cardiovascular system and its most frequent pathologies. Nevertheless, reference data on the murine cardiovascular an ...

Spektrum Akademischer Verlag-Springer-Verlag Gmbh2016

Numerical Approximation of Flows in Random Porous Media

Francesco Tesei

The objective of this thesis is to develop efficient numerical schemes to successfully tackle problems arising from the study of groundwater flows in a porous saturated medium; we deal therefore with partial differential equations(PDE) having random coeffi ...

EPFL2016

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Alfio Quarteroni, Luca Dede'

We consider the numerical solution of second order Partial Differential Equations (PDEs) on lower dimensional manifolds, specifically on surfaces in three dimensional spaces. For the spatial approximation, we consider Isogeometric Analysis which facilitate ...

Elsevier2015

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function u in multivariate polynomial spaces

P_\Lambda := span\{y \mapsto y^\nu | \nu \in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma := [-1,1]^d

, based on the sa ...

MATHICSE2015

MATHICSE Technical Report : Isogeometric analysis of high order partial differential equations on surfaces

Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi

We consider the numerical approximation of high order Partial Differential Equations (PDEs) defined on surfaces in the three dimensional space, with particular emphasis on closed surfaces. We consider computational domains that can be represented by B-spli ...

MATHICSE2015

Numerical approximation of the unsteady Navier-Stokes equations with an application to the flow past a square cylinder

Francesco Casalegno

The goal of this project is to numerically solve the Navier-Stokes equations by using different numerical methods with particular emphasis on solving the problem of the flow past a square cylinder. In particular, we use the finite element method based on P ...

2013

Tomography-based determination of permeability and Dupuit-Forchheimer coefficient of characteristic snow samples

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Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Propagation of a height contained hydraulic fracture in turbulent flow regimes

Randomized Projections for Improved Sensing and Imaging in Positron Emission Tomography

Snow avalanches striking water basins: behaviour of the avalanche's centre of mass and front.

A 1D model of the arterial circulation in mice

Numerical Approximation of Flows in Random Porous Media

Isogeometric Analysis for second order Partial Differential Equations on surfaces

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

MATHICSE Technical Report : Isogeometric analysis of high order partial differential equations on surfaces

Numerical approximation of the unsteady Navier-Stokes equations with an application to the flow past a square cylinder

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Numerical Approximation of Flows in Random Porous Media

MATHICSE Technical Report : Isogeometric analysis of high order partial differential equations on surfaces

Randomized Projections for Improved Sensing and Imaging in Positron Emission Tomography

Propagation of a height contained hydraulic fracture in turbulent flow regimes

A 1D model of the arterial circulation in mice

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Numerical approximation of the unsteady Navier-Stokes equations with an application to the flow past a square cylinder

Snow avalanches striking water basins: behaviour of the avalanche's centre of mass and front.