136 citations · 588 across the 51 of their papers we have counts for
8 papers · 1 filter
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…
Interpolatory tensorial reduced order models for parametric dynamical systems
Alexander V. Mamonov, Maxim A. Olshanskii
The paper introduces a reduced order model (ROM) for numerical integration of a dynamical system which depends on multiple parameters. The ROM is a projection of the dynamical syst…
A comparison of Cahn-Hilliard and Navier-Stokes-Cahn-Hilliard models on manifolds
Maxim Olshanskii, Yerbol Palzhanov, Annalisa Quaini
We consider phase-field models with and without lateral flow for the numerical simulation of lateral phase separation and coarsening in lipid membranes. For the numerical solution…
A CutFEM divergence-free discretization for the Stokes problem
Haoran Liu, Michael Neilan, Maxim Olshanskii
We construct and analyze a CutFEM discretization for the Stokes problem based on the Scott-Vogelius pair. The discrete piecewise polynomial spaces are defined on macro-element tria…
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…
A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow
Yerbol Palzhanov, Alexander Zhiliakov, Annalisa Quaini +1
The paper considers a thermodynamically consistent phase-field model of a two-phase flow of incompressible viscous fluids. The model allows for a non-linear dependence of fluid den…
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…