3 papers
physics.comp-ph2020
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…
math.NA2020
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…
math.NA2019
Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
The paper studies a geometrically unfitted finite element method (FEM), known as trace FEM or cut FEM, for the numerical solution of the Stokes system posed on a closed smooth surf…