Publications associées à A posteriori error estimation for partial differential equations with random input data

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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

A posteriori error estimation for partial differential equations with random input data

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An Adaptive Multiscale Finite Element Method

MATHICSE Technical Report : Low-rank tensor approximation for high-order correlation functions of Gaussian random fields

Liouville's theorem and Laurent Series Expansions for Solutions of the Heat Equation

Shortest-Weight Paths In Random Regular Graphs

Accurate and efficient evaluation of failure probability for partial different equations with random input data

Incremental Model Identification of Fluid-Fluid Reaction Systems – Dynamic Accumulation and Reactions in the Diffusion Layer

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

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

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

A posteriori error estimate in quantities of interest for the finite element heterogeneous multiscale method

Liouville's theorem and Laurent Series Expansions for Solutions of the Heat Equation

An Adaptive Multiscale Finite Element Method

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

Shortest-Weight Paths In Random Regular Graphs

Accurate and efficient evaluation of failure probability for partial different equations with random input data

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

Incremental Model Identification of Fluid-Fluid Reaction Systems – Dynamic Accumulation and Reactions in the Diffusion Layer

MATHICSE Technical Report : Low-rank tensor approximation for high-order correlation functions of Gaussian random fields

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

A posteriori error estimate in quantities of interest for the finite element heterogeneous multiscale method