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A posteriori error estimations for elliptic partial differential equations with small uncertainties

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Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

Fabio Nobile, Lorenzo Tamellini

In this work we consider quasi-optimal versions of the Stochastic Galerkin method for solving linear elliptic PDEs with stochastic coefficients. In particular, we consider the case of a finite number

N

of random inputs and an analytic dependence of the s ...

2014

A posteriori error estimations for elliptic partial differential equations with small uncertainties

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Chat with Graph Search

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

MATHICSE Technical Report : Analytic regularity and collocation approximation for PDEs with random domain deformations

A combination between the reduced basis method and the ANOVA expansion: On the computation of sensitivity indices

A stochastic collocation method for the second order wave equation with a discontinuous random speed

A Weighted Reduced Basis Method For Elliptic Partial Differential Equations With Random Input Data

Density approximations for multivariate affine jump-diffusion processes

Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations

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

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

Anisotropic Error Estimates And Space Adaptivity For A Semidiscrete Finite Element Approximation Of The Transient Transport Equation

A combination between the reduced basis method and the ANOVA expansion: On the computation of sensitivity indices

A Weighted Reduced Basis Method For Elliptic Partial Differential Equations With Random Input Data

A stochastic collocation method for the second order wave equation with a discontinuous random speed

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

MATHICSE Technical Report : Analytic regularity and collocation approximation for PDEs with random domain deformations

Density approximations for multivariate affine jump-diffusion processes

Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations

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

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

Anisotropic Error Estimates And Space Adaptivity For A Semidiscrete Finite Element Approximation Of The Transient Transport Equation