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Dynamical Low Rank approximation of PDEs with random parameters

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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

Dynamical Low Rank approximation of PDEs with random parameters

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Discrete variational Lie group formulation of geometrically exact beams dynamics

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

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Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics

A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries

Localized Orthogonal Decomposition Techniques For Boundary Value Problems

Discrete variational Lie group formulation of geometrically exact beams dynamics

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

Analysis of adiabatic trapping for quasi-integrable area-preserving maps

An orthotropic active-strain model for the myocardium mechanics and its numerical approximation