Error analysis of higher order trace finite element methods for the surface Stokes equations. - Thomas Jankuhn; Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (CoRR, 2020)

Experimental validation of a phase-field model to predict coarsening dynamics of lipid domains in multicomponent membranes. - Alexander Zhiliakov; Yifei Wang; Annalisa Quaini; Maxim A. Olshanskii; Sheereen Majd (CoRR, 2020)

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; Maxim A. Olshanskii (CoRR, 2021)

Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation. - Thomas Jankuhn; Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (J. Num. Math., 2021)

Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs. - Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (Math. Comput., 2021)

Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations. - Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (CoRR, 2022)

Recycling augmented Lagrangian preconditioner in an incompressible fluid solver. - Maxim A. Olshanskii; Alexander Zhiliakov (Numer. Linear Algebra Appl., 2022)