$H( {div})$ preconditioning for a mixed finite element formulation of the diffusion problem with random data

DOI10.1090/S0025-5718-09-02274-1zbMath1216.65155OpenAlexW2013285137MaRDI QIDQ3584801

Catherine E. Powell, Darran G. Furnival, Howard C. Elman

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-09-02274-1

zbMATH Keywords

preconditioningmixed finite elementsaddle-point systemsArnold-Falk-Winther multigrid algorithm

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with randomness, stochastic partial differential equations (35R60) Preconditioners for iterative methods (65F08)

Related Items (7)

Algorithms for Propagating Uncertainty Across Heterogeneous Domains ⋮ Computational Methods for Linear Matrix Equations ⋮ Solving Log-Transformed Random Diffusion Problems by Stochastic Galerkin Mixed Finite Element Methods ⋮ The dynamical functional particle method for multi-term linear matrix equations ⋮ On Hessenberg type methods for low-rank Lyapunov matrix equations ⋮ Regularity analysis of metamaterial Maxwell's equations with random coefficients and initial conditions ⋮ Efficient stochastic Galerkin methods for Maxwell's equations with random inputs

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