In this contribution, we introduce and numerically evaluate a certified and adaptive localized reduced basis method as a local model in a trust-region optimization method for parameter optimization constrained by partial differential equations.
@article{arxiv.2303.03074,
title = {Adaptive Localized Reduced Basis Methods for Large Scale Parameterized Systems},
author = {Tim Keil and Mario Ohlberger and Felix Schindler},
journal= {arXiv preprint arXiv:2303.03074},
year = {2023}
}