Perturbation Analysis for the Darcy Problem with Log-Normal Permeability

DOI10.1137/130949415zbMath1311.76130OpenAlexW1974468029MaRDI QIDQ2938442

Fabio Nobile, Francesca Bonizzoni

Publication date: 14 January 2015

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

Full work available at URL: http://infoscience.epfl.ch/record/190772

zbMATH Keywords

perturbation techniqueuncertainty quantificationlog-normal distributionelliptic PDE with random coefficient

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Random operators and equations (aspects of stochastic analysis) (60H25) Perturbations in context of PDEs (35B20) PDEs with randomness, stochastic partial differential equations (35R60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (5)

Uncertainty Quantification of Unsteady Flows Generated by Line-Sources Through Heterogeneous Geological Formations ⋮ Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem ⋮ Tensor Train Construction From Tensor Actions, With Application to Compression of Large High Order Derivative Tensors ⋮ Mean-Variance Risk-Averse Optimal Control of Systems Governed by PDEs with Random Parameter Fields Using Quadratic Approximations ⋮ Tensor train approximation of moment equations for elliptic equations with lognormal coefficient

This page was built for publication: Perturbation Analysis for the Darcy Problem with Log-Normal Permeability