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Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

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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

Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

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A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

Exponential convergence of the hp version of isogeometric analysis of 1D

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

Sampling Curves with Finite Rate of Innovation

MATHICSE Technical Report : A posteriori error estimations for elliptic partial differential equations with small uncertainties

MATHICSE Technical Report : Optimization of mesh hierarchies in multilevel Monte Carlo samplers

Adaptive reduced basis finite element heterogeneous multiscale method

Multiscale Modeling of Thermo-Mechanical Coupling Between Atomistic and Continuum Domains

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

MATHICSE Technical Report : Convergence of quasi-optimal stochastic Galerkin methods for a class of PDES with random coefficients

Multiscale Modeling of Thermo-Mechanical Coupling Between Atomistic and Continuum Domains

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Sampling Curves with Finite Rate of Innovation

MATHICSE Technical Report : Convergence of quasi-optimal stochastic Galerkin methods for a class of PDES with random coefficients

MATHICSE Technical Report : Optimization of mesh hierarchies in multilevel Monte Carlo samplers

Adaptive reduced basis finite element heterogeneous multiscale method

MATHICSE Technical Report : A posteriori error estimations for elliptic partial differential equations with small uncertainties

Exponential convergence of the hp version of isogeometric analysis of 1D

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

A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems