Combination of an adaptive multilevel SQP method and a space-time adaptive PDAE solver for optimal control problems

We present an adaptive multilevel generalized SQP method to solve PDAE-constrained optimization problems. It explicitly allows the use of independent integration schemes such that all involved systems can be solved highly efficient and as accurate as desired. We will couple the optimization with the state-of-the-art PDAE solver KARDOS and apply the new tool to a radiative heat transfer problem described by space-time dependent non-linear partial differential algebraic equations. Results are presented, compared and discussed.

• Type: Journal
• Year: 2010
• Where: PROCEDIA
• Authors: Debora Clever, Jens Lang, Stefan Ulbrich, J. Carsten Ziems
• Keywords: Multilevel Generalized Sqp, Pdae Solver Kardos, PDAE-constrained Optimization Problems, PROCEDIA 2010