Numerical Analysis of the Advection-Diffusion of a Solute in Porous Media with Uncertainty

DOI10.1137/130937457zbMath1329.76326OpenAlexW1183859363MaRDI QIDQ2945171

Julia Charrier

Publication date: 9 September 2015

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

Full work available at URL: https://doi.org/10.1137/130937457

zbMATH Keywords

Monte Carlo methodadvection-diffusion equationuncertainty quantificationelliptic PDE with random coefficientsEuler scheme for SDEprobabilistic interpretation of PDE

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Monte Carlo methods (65C05) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Stochastic particle methods (65C35) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (5)

Convergence analysis of macro spreading in 3D heterogeneous porous media ⋮ A combined collocation and Monte Carlo method for advection-diffusion equation of a solute in random porous media ⋮ Combining noisy well data and expert knowledge in a Bayesian calibration of a flow model under uncertainties: an application to solute transport in the Ticino basin ⋮ Evolving Surface Finite Element Methods for Random Advection-Diffusion Equations ⋮ Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem

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