Adaptive stochastic Galerkin FEM

DOI10.1016/j.cma.2013.11.015zbMath1296.65157OpenAlexW1991777578MaRDI QIDQ460851

Christoph Schwab, Claude Jeffrey Gittelson, Martin Eigel, Elmar Zander

Publication date: 9 October 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/154941

zbMATH Keywords

adaptive methodsoperator equationsuncertainty quantificationstochastic finite element methods\texttt{FEniCS}ALEA

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

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Uses Software

• FEniCS
• ALEA
• OPQ

Cites Work

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• Data Oscillation and Convergence of Adaptive FEM
• A Convergent Adaptive Algorithm for Poisson’s Equation
• A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

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