2 citations · 3 across the 7 of their papers we have counts for
14 papers
Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
The paper considers a system of equations that models a lateral flow of a Boussinesq--Scriven fluid on a passively evolving surface embedded in . For the resulting Na…
Lipid domain coarsening and fluidity in multicomponent lipid vesicles: A continuum based model and its experimental validation
Y. Wang, Y. Palzhanov, A. Quaini +2
Liposomes that achieve a heterogeneous and spatially organized surface through phase separation have been recognized to be a promising platform for delivery purposes. However, thei…
A finite element method for two-phase flow with material viscous interface
Maxim Olshanskii, Annalisa Quaini, Qi Sun
This paper studies a model of two-phase flow with an immersed material viscous interface and a finite element method for numerical solution of the resulting system of PDEs. The int…
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…
An unfitted finite element method for two-phase Stokes problems with slip between phases
Maxim Olshanskii, Annalisa Quaini, Qi Sun
We present an isoparametric unfitted finite element approach of the CutFEM or Nitsche-XFEM family for the simulation of two-phase Stokes problems with slip between phases. For the…
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…