In this paper we study parametric trace finite element (TraceFEM) and parametric surface
finite element (SFEM) discretizations of a surface Stokes problem. These methods are …

To explore the impact of surface viscosity on coexisting fluid domains in biomembranes we
consider two-phase fluid deformable surfaces as model systems for biomembranes. Such …

In this work we consider the numerical solution of incompressible flows on two‐dimensional
manifolds. Whereas the compatibility demands of the velocity and the pressure spaces are …

The paper introduces a geometrically unfitted finite element method for the numerical
solution of the tangential Navier–Stokes equations posed on a passively evolving smooth …

Surface Stokes and Navier–Stokes equations are used to model fluid flow on surfaces. They
have attracted significant recent attention in the numerical analysis literature because …

The paper considers a system of equations that models a lateral flow of a Boussinesq–
Scriven fluid on a passively evolving surface embedded in ℝ 3. For the resulting Navier …

The paper studies a higher order unfitted finite element method for the Stokes system posed
on a surface in ℝ3. The method employs parametric P kP k− 1 finite element pairs on …

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 …

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 the fluid …

A fully discrete surface finite element method is proposed for solving the viscous shallow
water equations in a bounded Lipschitz domain on the sphere based on a general triangular …