8 citations · 14 across the 7 of their papers we have counts for
4 papers · 1 filter
An iterative approach to a fluid-rigid body interaction problem
Charles M. Elliott, Thomas Sales
We study a novel approach for the existence of solutions to an incompressible fluid-rigid body interaction problem in three dimensions. Our approach introduces an iteration based o…
An evolving surface finite element method for the Cahn-Hilliard equation with a logarithmic potential
Charles M. Elliott, Thomas Sales
In this paper we study semi-discrete and fully discrete evolving surface finite element schemes for the Cahn-Hilliard equation with a logarithmic potential. Specifically we conside…
A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential
Charles M. Elliott, Thomas Sales
We study two fully discrete evolving surface finite element schemes for the Cahn-Hilliard equation on an evolving surface, given a smooth potential with polynomial growth. In parti…
Error analysis for an ALE evolving surface finite element method
Charles M. Elliott, Chandrasekhar Venkataraman
We consider an arbitrary-Lagrangian-Eulerian evolving surface finite element method for the numerical approximation of advection and diffusion of a conserved scalar quantity on a m…