Abstract

The current work aims at developing reliable and real-time efficient optimization routines, motivated by thermal ablations in cancer therapy. A parametrized optimal control problem is solved to determine the optimal heat delivery. Using the certified reduced basis method for distributed elliptic optimal control problems a surrogate model is created which is both reliable and real-time efficient. On a further step the reproducibility of the optimal heat by the placement of multiple heat sources, produced by ablation devices, is investigated and an algorithm is proposed.