Publications related to MATHICSE Technical Report : Analysis of the discrete $L^2$ projection on polynomial spaces with random evaluations

MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

Motivated by the numerical treatment of parametric and stochastic PDEs, we analyze the least-squares method for polynomial approximation of multivariate func- tions based on random sampling according to a given probability measure. Recent work has shown th ...

MATHICSE2014

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability

Fabio Nobile, Francesca Bonizzoni

We study the single-phase flow in a saturated, bounded heterogeneous porous medium. We model the permeability as a log-normal random field. We perform a perturbation analysis, expanding the solution in Taylor series. The series is directly computable in th ...

MATHICSE2013

Estimation of multiple phases from a single fringe pattern in digital holographic interferometry

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Simultaneous measurement of multidimensional displacements using digital holographic interferometry involves multi-directional illumination of the deformed object and requires the reliable estimation of the resulting multiple interference phase distributio ...

Optical Society of America2012

Computational performance of a parallelized three-dimensional high-order spectral element toolbox

Michel Deville, Roland Bouffanais, Jonas Marcel Lätt, Christoph Bosshard

In this paper, a comprehensive performance review of an MPI-based high-order three-dimensional spectral element method C++ toolbox is presented. The focus is put on the performance evaluation of several aspects with a particular emphasis on the parallel ef ...

2011

Local Interference Can Accelerate Gossip Algorithms

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In this paper, we show how interference can be exploited to perform gossip computations for average-based consensus over a larger local neighborhood, rather than only pairs of nodes. We use a new channel coding technique called computation coding to comput ...

2011

Sur la méthode de Buser-Silhol pour l'uniformisation des surfaces de Riemann hyperelliptiques

Grégoire Aubry

The Uniformization Theorem due to Koebe and Poincaré implies that every compact Riemann surface of genus greater or equal to 2 can be endowed with a metric of constant curvature – 1. On the other hand, a compact Riemann surface is a complex algebraic curve ...

EPFL2010

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

Gonçalo Pena

In this thesis we address the numerical approximation of the incompressible Navier-Stokes equations evolving in a moving domain with the spectral element method and high order time integrators. First, we present the spectral element method and the basic to ...

EPFL2009

Computational Performance of a Parallelized Three-Dimensional High-Order Spectral Element Toolbox

Michel Deville, Nicolas Fietier, Vincent Keller, Roland Bouffanais, Jonas Marcel Lätt, Christoph Bosshard, Sohrab Jairo Kehtari, Christian Clémençon

In this paper, a comprehensive performance review of all MPI-based high-order three-dimensional spectral element method C++ toolbox is presented. The focus is put on the performance evaluation of aspects with a particular emphasis on the parallel efficienc ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2009

Vinberg's theta-groups in positive characteristic and Kostant-Weierstrass slices

We generalize the basic results of Vinberg's theta-groups, or periodically graded reductive Lie algebras, to fields of good positive characteristic. To this end we clarify the relationship between the little Weyl group and the (standard) Weyl group. We ded ...

Birkhäuser-Verlag, Springer2009

MATHICSE Technical Report : Analysis of the discrete $L^2$ projection on polynomial spaces with random evaluations

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MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability

Estimation of multiple phases from a single fringe pattern in digital holographic interferometry

Computational performance of a parallelized three-dimensional high-order spectral element toolbox

Local Interference Can Accelerate Gossip Algorithms

Sur la méthode de Buser-Silhol pour l'uniformisation des surfaces de Riemann hyperelliptiques

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

Computational Performance of a Parallelized Three-Dimensional High-Order Spectral Element Toolbox

Vinberg's theta-groups in positive characteristic and Kostant-Weierstrass slices

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Estimation of multiple phases from a single fringe pattern in digital holographic interferometry

Sur la méthode de Buser-Silhol pour l'uniformisation des surfaces de Riemann hyperelliptiques

MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability

Vinberg's theta-groups in positive characteristic and Kostant-Weierstrass slices

MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

Local Interference Can Accelerate Gossip Algorithms

Computational performance of a parallelized three-dimensional high-order spectral element toolbox

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

Computational Performance of a Parallelized Three-Dimensional High-Order Spectral Element Toolbox