70 citations · 244 across the 29 of their papers we have counts for
5 papers · 1 filter
Unfitted finite element methods using bulk meshes for surface partial differential equations
Klaus Deckelnick, Charles M. Elliott, Thomas Ranner
In this paper, we define new unfitted finite element methods for numerically approximating the solution of surface partial differential equations using bulk finite elements. The ke…
Parameter identification problems in the modelling of cell motility
Wayne Croft, Charles M Elliott, Graham Ladds +3
We present a novel parameter identification algorithm for the estimation of parameters in models of cell motility using imaging data of migrating cells. Two alternative formulation…
A multiscale analysis of diffusions on rapidly varying surfaces
A. B. Duncan, C. M. Elliott, G. A. Pavliotis +1
Lateral diffusion of molecules on surfaces plays a very important role in various biological processes, including lipid transport across the cell membrane, synaptic transmission an…
Phase field methods for binary recovery
Charles Brett, Andreas S. Dedner, Charles M. Elliott
We consider the inverse problem of recovering a binary function from blurred and noisy data. Such problems arise in many applications, for example image processing and optimal cont…
Evolving surface finite element method for the Cahn-Hilliard equation
Charles M. Elliott, Thomas Ranner
We use the evolving surface finite element method to solve a Cahn- Hilliard equation on an evolving surface with prescribed velocity. We start by deriving the equation using a cons…