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math.OC2023★ 1 cited
Asymptotic Analysis for Optimal Control of the Cattaneo Model
Sebastian Blauth, René Pinnau, Matthias Andres +1
We consider an optimal control problem with tracking-type cost functional constrained by the Cattaneo equation, which is a well-known model for delayed heat transfer. In particular…
math.OC2019★ 10 cited
Identification of the Blood Perfusion Rate for Laser-Induced Thermotherapy in the Liver
Matthias Andres, Sebastian Blauth, Christian Leithäuser +1
Using PDE-constrained optimization we introduce a parameter identification approach which can identify the blood perfusion rate from MR thermometry data obtained during the treatme…