Numerical approximations of a tractable mathematical model for tissue growth – Vanessa Styles (University of Sussex)

December 5, 2019 @ 1:30 pm – 2:15 pm
Seminar Room 2
Newton Institute

We consider a free boundary problem representing one of the simplest mathematical descriptions of the growth and death of a tumour. The mathematical model takes the form of a closed interface evolving via forced mean curvature flow where the forcing depends on the solution of a PDE that holds in the domain enclosed by the interface. We derive sharp interface and diffuse interface finite element approximations of this model and present some numerical results