Alexander Zhiliakov
YOU?
Author Swipe
View article: Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations
Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations Open
The paper considers a system of equations that models a lateral flow of a Boussinesq--Scriven fluid on a passively evolving surface embedded in $\mathbb{R}^3$. For the resulting Navier-Stokes type system, posed on a smooth closed time-depe…
View article: Recycling augmented Lagrangian preconditioner in an incompressible fluid solver
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver Open
The paper discusses a reuse of matrix factorization as a building block in the Augmented Lagrangian (AL) and modified AL preconditioners for nonsymmetric saddle point linear algebraic systems. The strategy is applied to solve two‐dimension…
View article: A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow
A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow Open
View article: Lipid Domain Formation and Dynamics in Multicomponent Membranes: Experimental Validation of a Phase-Field Model
Lipid Domain Formation and Dynamics in Multicomponent Membranes: Experimental Validation of a Phase-Field Model Open
View article: Experimental validation of a phase-field model to predict coarsening dynamics of lipid domains in multicomponent membranes
Experimental validation of a phase-field model to predict coarsening dynamics of lipid domains in multicomponent membranes Open
View article: Experimental validation of a phase-field model to predict coarsening\n dynamics of lipid domains in multicomponent membranes
Experimental validation of a phase-field model to predict coarsening\n dynamics of lipid domains in multicomponent membranes Open
Membrane phase-separation is a mechanism that biological membranes often use\nto locally concentrate specific lipid species in order to organize diverse\nmembrane processes. Phase separation has also been explored as a tool for the\ndesign…
View article: Inf-sup stability of the trace $\mathbf {P}_2$–$P_1$ Taylor–Hood elements for surface PDEs
Inf-sup stability of the trace $\mathbf {P}_2$–$P_1$ Taylor–Hood elements for surface PDEs Open
The paper studies a geometrically unfitted finite element method (FEM), known\nas trace FEM or cut FEM, for the numerical solution of the Stokes system posed\non a closed smooth surface. A trace FEM based on standard Taylor-Hood\n(continuo…
View article: Error analysis of higher order trace finite element methods for the surface Stokes equations
Error analysis of higher order trace finite element methods for the surface Stokes equations Open
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 finite element pairs on tetrahedral bulk mesh to discretize the…
View article: Inf-sup stability of the trace $\mathbf P_2$$-$$P_1$ Taylor$-$Hood elements for surface PDEs
Inf-sup stability of the trace $\mathbf P_2$$-$$P_1$ Taylor$-$Hood elements for surface PDEs Open
View article: A higher order approximate static condensation method for multi-material diffusion problems
A higher order approximate static condensation method for multi-material diffusion problems Open