Displaying similar documents to “Reduced basis solver for stochastic Galerkin formulation of Darcy flow with uncertain material parameters”

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

Michal Béreš (2020)

Applications of Mathematics

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We examine different approaches to an efficient solution of the stochastic Galerkin (SG) matrix equations coming from the Darcy flow problem with different, uncertain coefficients in apriori known subdomains. The solution of the SG system of equations is usually a very challenging task. A relatively new approach to the solution of the SG matrix equations is the reduced basis (RB) solver, which looks for a low-rank representation of the solution. The construction of the RB is usually...

Covariate-based stochastic parameterization of baroclinic ocean eddies

Nick Verheul, Jan Viebahn, Daan Crommelin (2017)

Mathematics of Climate and Weather Forecasting

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In this study we investigate a covariate-based stochastic approach to parameterize unresolved turbulent processes within a standard model of the idealised, wind-driven ocean circulation. We focus on vertical instead of horizontal coarse-graining, such that we avoid the subtle difficulties of horizontal coarsegraining. The corresponding eddy forcing is uniquely defined and has a clear physical interpretation related to baroclinic instability.We propose to emulate the baroclinic eddy forcing...

Image sampling with quasicrystals.

Grundland, Mark, Patera, Jirí, Masáková, Zuzana, Dodgson, Neil A. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Polynomial chaos in evaluating failure probability: A comparative study

Eliška Janouchová, Jan Sýkora, Anna Kučerová (2018)

Applications of Mathematics

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Recent developments in the field of stochastic mechanics and particularly regarding the stochastic finite element method allow to model uncertain behaviours for more complex engineering structures. In reliability analysis, polynomial chaos expansion is a useful tool because it helps to avoid thousands of time-consuming finite element model simulations for structures with uncertain parameters. The aim of this paper is to review and compare available techniques for both the construction...

Fixed precision optimal allocation in two-stage sampling

Wojciech Niemiro, Jacek Wesołowski (2001)

Applicationes Mathematicae

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Two-stage sampling schemes arise in survey sampling, especially in situations when the complete update of the frame is difficult. In this paper we solve the problem of fixed precision optimal allocation in two special two-stage sampling schemes. The solution is based on reducing the original question to an eigenvalue problem and then using the Perron-Frobenius theorem.