I am working on a knowledge transfer project in association with the Met Office on 3D adaptive meshing for variational data assimiliation.
My PhD is on topology optimization of structures. This is a CASE award with the Rutherford Appleton Laboratory. Topology optimization addresses the problem of where to place material within a region in order to optimize a particular value of interest. We are particularly interested in buckling constraints - this means solving a large nonlinear eigenvalue constrained optimization problem.
My research interests include:
Linear algebra
Scientific computing
Optimization methods
My undergraduate project was on Numerical Methods for Two Parameter Eigenvalue Problems.
Publications
A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constants. With CJ Budd, NIM Gould, HA Kim, JA Scott. Accepted to the International Journal of Numerical Methods in Engineering. Available online here.