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

When:
December 5, 2019 @ 1:30 pm – 2:15 pm
2019-12-05T13:30:00+00:00
2019-12-05T14:15:00+00:00
Where:
Seminar Room 2
Newton Institute
Contact:

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