A comparison of approaches for the construction of reduced basis for stochastic Galerkin matrix equations

Michal Béreš

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Reduced basis solver for stochastic Galerkin formulation of Darcy flow with uncertain material parameters

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In this contribution, we present a solution to the stochastic Galerkin (SG) matrix equations coming from the Darcy flow problem with uncertain material coefficients in the separable form. The SG system of equations is kept in the compressed tensor form and its solution is a very challenging task. Here, we present the reduced basis (RB) method as a solver which looks for a low-rank representation of the solution. The construction of the RB consists of iterative expanding of the basis...

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