Applied Maths Seminar: Trenchea -- Control and parameter identification in reaction-diffusion equations

In the first part we present an optimal control problem for a nonlinear
reaction-diffusion system modelling predator-prey interactions.  We implement a
semi-implicit (in time) finite element method with "mass lumping", and show the results
of numerical experiments in two space dimensions.  

The second part regards a parameter identification problem for reaction-diffusion
equations modelling pattern formation (Gierer & Meinhardt activator-inhibitor model).
We will discuss how we approximate solutions and show an animation of some preliminary
results.  

http://www.maths.usyd.edu.au/u/AppliedSeminar/abstracts/2008/trenchea.html