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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…
math.NA2023
A non-intrusive neural-network based BFGS algorithm for parameter estimation in non-stationary elasticity
Stefan Frei, Jan Reichle, Stefan Volkwein
We present a non-intrusive gradient and a non-intrusive BFGS algorithm for parameter estimation problems in non-stationary elasticity. To avoid multiple (and potentially expensive)…
math.NA2023
Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems
Michael Kartmann, Tim Keil, Mario Ohlberger +2
In this contribution, we are concerned with model order reduction in the context of iterative regularization methods for the solution of inverse problems arising from parameter ide…