Hierarchical preconditioning for the stochastic Galerkin method: upper bounds to the strengthened CBS constants

DOI10.1016/j.camwa.2016.01.006zbMath1443.65366OpenAlexW2479394192MaRDI QIDQ2006646

Ivana Pultarová

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.01.006

zbMATH Keywords

preconditioningstochastic Galerkin methodalgebraic multilevel iterative methodstrengthened Cauchy-Bunyakowsky-Schwarz constant

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

CBS constants \& their role in error estimation for stochastic Galerkin finite element methods ⋮ Adaptive algorithm for stochastic Galerkin method. ⋮ Block Preconditioning of Stochastic Galerkin Problems: New Two-sided Guaranteed Spectral Bounds ⋮ Asynchronous space-time domain decomposition method with localized uncertainty quantification ⋮ Backward error and condition number of a generalized Sylvester equation, with application to the stochastic Galerkin method ⋮ A comparison of approaches for the construction of reduced basis for stochastic Galerkin matrix equations.

Uses Software

• ALEA

Cites Work

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