10 citations · 11 across the 3 of their papers we have counts for
3 papers
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…
The second-order formulation of the equations with Marshak boundary conditions
Matthias Andres, Florian Schneider
We consider a reformulation of the classical method with Marshak boundary conditions for the approximation of the monoenergetic stationary linear transport equation as a syst…
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…