Uncertainty quantification for random domains using periodic random variables

DOI10.1007/s00211-023-01392-6arXiv2210.17329MaRDI QIDQ6191371

Helmut Harbrecht, Frances Y. Kuo, Vesa Kaarnioja, Ian H. Sloan, Harri Hakula

Publication date: 9 February 2024

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.17329

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Cites Work

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• Analysis of the domain mapping method for elliptic diffusion problems on random domains
• Some statistical applications of Faa di Bruno
• Sparse second moment analysis for elliptic problems in stochastic domains
• Large deformation shape uncertainty quantification in acoustic scattering
• Dimension truncation in QMC for affine-parametric operator equations
• On solving elliptic stochastic partial differential equations
• Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations
• Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM
• Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients
• Good lattice rules in weighted Korobov spaces with general weights
• Stochastic projection schemes for deterministic linear elliptic partial differential equations on random domains
• Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems
• Numerical Methods for Differential Equations in Random Domains
• On output functionals of boundary value problems on stochastic domains
• Lattice Methods for Multiple Integration: Theory, Error Analysis and Examples
• Electromagnetic wave scattering by random surfaces: Shape holomorphy
• Shape Holomorphy of the Stationary Navier--Stokes Equations
• Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients
• Uncertainty Quantification Using Periodic Random Variables
• Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs

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