Trust-Region RB Methods for PDE-Constrained Optimization and Optimal Input Design

In this paper we propose an algorithm for the bi-level optimal input design involving a parameter-dependent evolution problem. inner cycle control is fixed and parameter optimized in order to minimize cost function that measure discrepancy from some data. outer found now suitable of uncertainty parameters. The uses trust-region reduced basis approximation model with creation enrichment on-the-fly. Numerical examples illustrate efficiency proposed approach.