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 …

We consider surface finite elements and a semi-implicit time stepping scheme to simulate
fluid deformable surfaces. Such surfaces are modeled by incompressible surface Navier …

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 …

Fluid deformable surfaces show a solid–fluid duality which establishes a tight interplay
between tangential flow and surface deformation. We derive the governing equations as a …

The Stokes equation posed on surfaces is important in some physical models, but its
numerical solution poses several challenges not encountered in the corresponding …

This paper presents HDGlab, an open source MATLAB implementation of the hybridisable
discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of …

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 …

We consider the impact of surface hydrodynamics on the interplay between membrane
curvature and lipid composition in coarsening processes on model systems for …

We discretise a tangential tensor field equation using a surface-finite element approach with
a penalisation term to ensure almost tangentiality. It is natural to measure the quality of such …