activity
20162021
most citedA hybrid finite volume -- finite element method for bulk--surface coupled problems

23 citations · 41 across the 4 of their papers we have counts for

collaborators

5 papers

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…

physics.med-ph2020

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…

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…

physics.comp-ph2017★ 23 cited

A hybrid finite volume -- finite element method for bulk--surface coupled problems

Alexey Y. Chernyshenko, Maxim A. Olshanskii, Yuri V. Vassilevski

The paper develops a hybrid method for solving a system of advection--diffusion equations in a bulk domain coupled to advection--diffusion equations on an embedded surface. A monot…

physics.comp-ph2016

An adaptive numerical method for free surface flows passing rigidly mounted obstacles

Kirill D. Nikitin, Maxim A. Olshanskii, Kirill M. Terekhov +2

The paper develops a method for the numerical simulation of a free-surface flow of incompressible viscous fluid around a streamlined body. The body is a rigid stationary constructi…