Charles Brett
I completed my PhD under the supervision of and .
Email: c.brett@warwick.ac.uk
Office: B3.04
CV: academic, standard (short)
Research Interests
Numerical analysis, optimal control of PDEs, inverse problems.
My current research is on the analysis and numerical analysis of inverse and optimal control problems with PDE and variational inequality constraints. I have worked on analysing algorithms for a phase field approach to binary image recovery, and implemented them in . More recently I have worked on mesh adaptivity for optimal control of variational inequalities, and on proving convergence for finite element discretisations of problems related to the optimal control of PDEs with sparse data.
Publications
Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state. C. Brett, C. M. Elliott, M. Hintermüller, C. Löbhard. (Submitted to Interfaces and Free Boundaries).
. C. Brett, A. S. Dedner, C. M. Elliott. (Accepted in ESF OPTPDE Proceedings).
. C. Brett, K. F. Lam, K. J . H. Law, D. S. McCormick, M. R. Scott, A. M. Stuart. Physica D: Nonlinear Phenomena, 245(1):34-45, 2013. .
. A. Swetnam, C. Brett, M. P. Allen. Physical Review E, 85(3), 2012. .