3 papers
math.NA2025
A Fully Discrete Surface Finite Element Method for the Navier--Stokes equations on Evolving Surfaces with prescribed Normal Velocity
Charles M. Elliott, Achilleas Mavrakis
We analyze two fully time-discrete numerical schemes for the incompressible Navier-Stokes equations posed on evolving surfaces in with prescribed normal velocity usi…
math.NA2025
SFEM for the unsteady Navier-Stokes Equations on a stationary surface
Charles M. Elliott, Achilleas Mavrakis
In this paper we consider a fully discrete numerical method for the unsteady Navier-Stokes equations on a smooth closed stationary surface in . We use the surface fin…
math.NA2025
SFEM for the Lagrangian formulation of the surface Stokes problem
Charles M. Elliott, Achilleas Mavrakis
We consider the surface Stokes equation with Lagrange multiplier and approach it numerically. Using a Taylor-Hood surface finite element method, along with an appropriate estimate…