Efficient Distribution Estimation and Uncertainty Quantification for Elliptic Problems on Domains with Stochastic Boundaries

DOI10.1137/17M112230XzbMath1400.35239arXiv1807.05296OpenAlexW2963571928MaRDI QIDQ4689168

Jehanzeb Hameed Chaudhry, Donald J. Estep, Nathanial Burch

Publication date: 15 October 2018

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

Full work available at URL: https://arxiv.org/abs/1807.05296

zbMATH Keywords

stochastic geometrya posteriori error estimateelliptic problemadaptive error controlcumulative distribution functionstochastic boundary

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items

Error estimation and uncertainty quantification for first time to a threshold value ⋮ A posteriori error analysis for Schwarz overlapping domain decomposition methods ⋮ A massively parallel implementation of multilevel Monte Carlo for finite element models ⋮ An Adaptive Stochastic Galerkin Tensor Train Discretization for Randomly Perturbed Domains ⋮ A Least-Squares Finite Element Reduced Basis Method

Uses Software

• Gmsh
• Schwarz-Christoffel
• SC Toolbox

Cites Work

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