CBS constants \& their role in error estimation for stochastic Galerkin finite element methods

DOI10.1007/s10915-018-0736-4zbMath1404.65257OpenAlexW2615439739MaRDI QIDQ1632210

Adam J. Crowder, Catherine E. Powell

Publication date: 13 December 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0736-4

zbMATH Keywords

stochastic Galerkin methodstochastic finite element methodstrengthened Cauchy-Schwarz inequalityCBS constantserror estimation for stochastic PDE problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items

Robust a posteriori error estimation for parameter-dependent linear elasticity equations, Decomposition into subspaces preconditioning: abstract framework, Block Preconditioning of Stochastic Galerkin Problems: New Two-sided Guaranteed Spectral Bounds, Efficient Adaptive Multilevel Stochastic Galerkin Approximation Using Implicit A Posteriori Error Estimation, A comparison of approaches for the construction of reduced basis for stochastic Galerkin matrix equations.

Uses Software

• ALEA
• T-IFISS

Cites Work

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