30 citations · 62 across the 4 of their papers we have counts for
5 papers
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…
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…
An Equation of State for Anisotropic Solids under Shock Loading
Alexander A. Lukyanov
An anisotropic equation of state is proposed for accurate extrapolation of high-pressure shock Hugoniot states to other thermodynamics states for shocked single crystals and polycr…
An Equation of State of a Carbon-Fibre Epoxy Composite under Shock Loading
Alexander A. Lukyanov
An anisotropic equation of state (EOS) is proposed for the accurate extrapolation of high-pressure shock Hugoniot (anisotropic and isotropic) states to other thermodynamic (anisotr…
Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions
Adilet Imambekov, Alexander A. Lukyanov, Leonid I. Glazman +1
Using the asymptotic Bethe Ansatz, we obtain an exact solution of the many-body problem for 1D spin-polarized fermions with resonant p-wave interactions, taking into account the ef…