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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

Écoulement de Poiseuille

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

Multi-level preconditioner for solving the Navier-Stokes equations in hemodynamics applications

On the longitudinal optimal perturbations to inviscid plane shear flow: formal solution and asymptotic approximation

RAS and LES Simulation of the supercritical flow over the waving bed.

Measurements of the pore-scale water flow through snow using Fluorescent Particle Tracking Velocimetry

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

A new prediction of wavelength selection in radial viscous fingering involving normal and tangential stresses

Optimal open-loop control of the recirculation length in the wake of a cylinder

Model reduction techniques for fast blood flow simulation in parametrized geometries

Numerical simulation of two-phase flow with interface tracking by adaptive Eulerian grid subdivision

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

RAS and LES Simulation of the supercritical flow over the waving bed.

On the longitudinal optimal perturbations to inviscid plane shear flow: formal solution and asymptotic approximation

Measurements of the pore-scale water flow through snow using Fluorescent Particle Tracking Velocimetry

Multi-level preconditioner for solving the Navier-Stokes equations in hemodynamics applications

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

Optimal open-loop control of the recirculation length in the wake of a cylinder

A new prediction of wavelength selection in radial viscous fingering involving normal and tangential stresses

Model reduction techniques for fast blood flow simulation in parametrized geometries

Numerical simulation of two-phase flow with interface tracking by adaptive Eulerian grid subdivision