18 citations · 18 across the 5 of their papers we have counts for
3 papers · 1 filter
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 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…
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…