A Preconditioner for Fictitious Domain Formulations of Elliptic PDEs on Uncertain Parameterized Domains

DOI10.1137/130924202zbMath1307.65010OpenAlexW2025146387MaRDI QIDQ2938462

Andrew D. Gordon, Catherine E. Powell

Publication date: 14 January 2015

Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/1990/1/RD-paper2.pdf

zbMATH Keywords

preconditioningmixed finite elementssaddle point problemsalgebraic multigridfictitious domain methodelliptic boundary value problemstochastic collocationrandom domains

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Preconditioners for iterative methods (65F08) Fictitious domain methods for boundary value problems involving PDEs (65N85)

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