18 citations · 18 across the 5 of their papers we have counts for
5 papers
A monolithic fluid-porous structure interaction finite element method
Alexander Lozovskiy, Maxim A. Olshanskii, Yuri V. Vassilevski
The paper introduces a fully discrete quasi-Lagrangian finite element method for a monolithic formulation of a fluid-porous structure interaction problem. The method is second orde…
A stable method for 4D CT-based CFD simulation in the right ventricle of a TGA patient
Alexander Danilov, Yushui Han, Chun H. Lin +4
The paper discusses a stabilization of a finite element method for the equations of fluid motion in a time-dependent domain. After experimental convergence analysis, the method is…
A quasi-Lagrangian finite element method for the Navier-Stokes equations in a time-dependent domain
Alexander Lozovskiy, Maxim A. Olshanskii, Yuri V. Vassilevski
The paper develops a finite element method for the Navier-Stokes equations of incompressible viscous fluid in a time-dependent domain. The method builds on a quasi-Lagrangian formu…
A greedy algorithm for the minimization of a ratio of same-index element sums from two positive arrays
Alexander Lozovskiy
Consider two ordered positive real number arrays of equal size. The problem is to find such set of indices of given size that the ratio of the sums of the array elements with those…
The method of solving a scalar initial value problem with a required tolerance
Alexander Lozovskiy
A new numerical method for solving a scalar ordinary differential equation with a given initial condition is introduced. The method is using a numerical integration procedure for a…