Research Projects (running or recently finished)

• EU FP6 PLATO-N: A PLAtform for Topology Optimisation incorporating Novel, Large-Scale, Free Material Optimisation and Mixed Integer Programming Methods 2006-2009
  
• Bridging the Gap - Multi-Disciplinary Optimization and Data Mining at Birmingham, EPSRC funded, 2008-2011
  
• Royal Society International joint project Polynomial Semidefinite Programming with Control Application, 2009-2011 (with Didier Henrion, LAAS CNRS, Toulouse)
• Nonsmooth and set-valued analysis in mechanics and thermomechanics, Grant Agency of the Czech Academy of Sciences project A100750802, PI Jiri Outrata, 2008-2011

Areas of Research

• Structural Optimization including
  • material optimization of linear elastic bodies. This page also includes information about our code MOPED.
  • truss optimization including single and multiple load topo or geo/topo design with displacement, stability and robustness constraints.
  • shape optimizations of elastic bodies governed by variational inequalities.


• Algorithms for the solution of large (and sparse) mathematical programs arising in structural optimization problems. These include
  • PENNON, a code for convex and nonconvex problems of Nonlinear and Semidefinite Programming.
  • An iterative method for linear complementarity problems.


• Mathematical Programs with Equilibrium Constraints (MPEC). We have developed a solution technique for these problems that are often met in practice.


• Numerical solution of large three-dimensional linear elasticity problems by means of adaptive mesh refinement and local multigrid method.