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math.NA2021★ 1 cited
Multilevel Monte Carlo estimators for elliptic PDEs with Lévy-type diffusion coefficient
Andrea Barth, Robin Merkle
General elliptic equations with spatially discontinuous diffusion coefficients may be used as a simplified model for subsurface flow in heterogeneous or fractured porous media. In…
math.NA2020★ 2 cited
Subordinated Gaussian Random Fields in Elliptic Partial Differential Equations
Andrea Barth, Robin Merkle
To model subsurface flow in uncertain heterogeneous\ fractured media an elliptic equation with a discontinuous stochastic diffusion coefficient - also called random field - may be…