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math.NA2017
A Stable SPH Discretization of the Elliptic Operator with Heterogeneous Coefficients
Alexander A. Lukyanov, Kees Vuik
Smoothed particle hydrodynamics (SPH) has been extensively used to model high and low Reynolds number flows, free surface flows and collapse of dams, study pore-scale flow and disp…
math.NA2015
The Parallel Subdomain-Levelset Deflation Method in Reservoir Simulation
J. H. van der Linden, T. B. Jönsthövel, A. A. Lukyanov +1
Extreme and isolated eigenvalues are known to be harmful to the convergence of an iterative solver. These eigenvalues can be produced by strong heterogeneity in the underlying phys…