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math.NA2019
Numerical analysis for time-dependent advection-diffusion problems with random discontinuous coefficients
Andrea Barth, Andreas Stein
Subsurface flows are commonly modeled by advection-diffusion equations. Insufficient measurements or uncertain material procurement may be accounted for by random coefficients. To…
math.NA2019
A Multilevel Monte Carlo Algorithm for Parabolic Advection-Diffusion Problems with Discontinuous Coefficients
Andrea Barth, Andreas Stein
The Richards' equation is a model for flow of water in unsaturated soils. The coefficients of this (nonlinear) partial differential equation describe the permeability of the medium…