3 papers
math.NA2026
Adaptive Reduced-Basis Trust-Region Methods for Defect Identification in Elastic Materials
Benedikt Klein, Mario Ohlberger, Thomas Schuster
Monitoring the integrity of elastic structures using ultrasonic waves requires the efficient identification of material parameters from measured surface displacements. The displace…
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.OC2025
Multi-fidelity Learning of Reduced Order Models for Parabolic PDE Constrained Optimization
Benedikt Klein, Mario Ohlberger
This article builds on the recently proposed RB-ML-ROM approach for parameterized parabolic PDEs and proposes a novel hierarchical Trust Region algorithm for solving parabolic PDE…