23 citations · 41 across the 4 of their papers we have counts for
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math.NA2021
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…
math.NA2017★ 18 cited
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…