This is not the latest version of this item. The latest version can be found at: https://kops.uni-konstanz.de/handle/123456789/56711.3
Type of Publication: | Working Paper/Technical Report |
Publication status: | Published |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1l9b7uuht7b1s0 |
Author: | Petrocchi, Andrea; Scharrer, Matthias K.; Volkwein, Stefan |
Year of publication: | 2022 |
Series: | Konstanzer Schriften in Mathematik ; 403 |
Summary: |
In this paper we propose an algorithm for the bi-level optimal experimental design involving a parameter-dependent evolution problems. In the inner cycle a control is fixed and the parameter is optimized in order to minimize a cost function that measure the discrepancy from some data. In the outer cycle the found parameter is fixed and the control is now optimized in order to minimize a suitable measure of uncertainty of the parameters. The inner cycle uses a trust-region reduced basis approximation of the model with creation and enrichment of the reduced basis on-the-fly. Numerical examples illustrate the efficiency of the proposed approach.
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Subject (DDC): | 510 Mathematics |
Link to License: | In Copyright |
Bibliography of Konstanz: | Yes |
PETROCCHI, Andrea, Matthias K. SCHARRER, Stefan VOLKWEIN, 2022. Reduced basis methods for optimal experimental design of parametrized linear evolution problems
@techreport{Petrocchi2022Reduc-56711.2, series={Konstanzer Schriften in Mathematik}, title={Reduced basis methods for optimal experimental design of parametrized linear evolution problems}, year={2022}, number={403}, author={Petrocchi, Andrea and Scharrer, Matthias K. and Volkwein, Stefan} }
Petrocchi_2-1l9b7uuht7b1s0.pdf | 45 |