4 papers
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…
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…
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…
Integration of Few Body Celestial Systems Implementing Explicit Numerical Methods
Achilleas Mavrakis, Konstantinos Kritos
The -body problem is of historical significance because it was the first implementation of the Newtonian dynamical laws for the description of our Solar System. Motivated by thi…