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math.OC2025
Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces
Michael Kartmann, Stefan Volkwein
We consider linear model reduction in both the control and state variables for unconstrained linear-quadratic optimal control problems subject to time-varying parabolic PDEs. The f…
math.OC2025
Stabilization of Parabolic Time-Varying PDEs using Certified Reduced-Order Receding Horizon Control
Behzad Azmi, Michael Kartmann, Stefan Volkwein
We address the stabilization of linear, time-varying parabolic PDEs using finite-dimensional receding horizon controls (RHCs) derived from reduced-order models (ROMs). We first pro…
math.NA2025
Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems
Michael Kartmann, Benedikt Klein, Mario Ohlberger +2
We consider nonlinear inverse problems arising in the context of parameter identification for parabolic partial differential equations (PDEs). For stable reconstructions, regulariz…