136 citations · 588 across the 51 of their papers we have counts for
7 papers · 1 filter
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver
Maxim Olshanskii, Alexander Zhiliakov
The paper discusses a reuse of matrix factorization as a building block in the Augmented Lagrangian (AL) and modified AL preconditioners for non-symmetric saddle point linear algeb…
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…
Speed-direction description of turbulent flows
Maxim A. Olshanskii
In this note we introduce speed and direction variables to describe the motion of incompressible viscous flows. Fluid velocity is decomposed into , with…
A finite element method for Allen-Cahn equation on deforming surface
Maxim Olshanskii, Xianmin Xu, Vladimir Yushutin
The paper studies an Allen-Cahn-type equation defined on a time-dependent surface as a model of phase separation with order-disorder transition in a thin material layer. By a forma…
Experimental validation of a phase-field model to predict coarsening dynamics of lipid domains in multicomponent membranes
Alexander Zhiliakov, Yifei Wang, Annalisa Quaini +2
Membrane phase-separation is a mechanism that biological membranes often use to locally concentrate specific lipid species in order to organize diverse membrane processes. Phase se…
Error analysis of higher order trace finite element methods for the surface Stokes equations
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken +1
The paper studies a higher order unfitted finite element method for the Stokes system posed on a surface in three-dimensional space. The method employs generalized Taylor-Hood fini…
Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation
Maxim A. Olshanskii, Leo G. Rebholz
In this paper, we consider the recently introduced EMAC formulation for the incompressible Navier-Stokes (NS) equations, which is the only known NS formulation that conserves energ…