Samenvatting
These lecture notes summarize various summer schools that I have given on the topic of solving inverse problems (state and parameter estimation) by combining optimally measurement observations and parametrized PDE models. After defining a notion of optimal performance in terms of the smallest reconstruction error that any reconstruction algorithm can achieve, the notes present practical numerical algorithms based on nonlinear reduced models for which one can prove that they can deliver a performance close to optimal. We also discuss algorithms for sensor placement. The proposed concepts may be viewed as exploring alternatives to Bayesian inversion in favor of more deterministic notions of accuracy quantification.
Originele taal-2 | Engels |
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Titel | Model Order Reduction and Applications Cetraro, Italy 2021 |
Redacteuren | Maurizio Falcone, Gianluigi Rozza |
Uitgeverij | Springer |
Pagina's | 73-124 |
Aantal pagina's | 52 |
ISBN van elektronische versie | 978-3-031-29563-8 |
ISBN van geprinte versie | 978-3-031-29562-1 |
DOI's | |
Status | Gepubliceerd - 2023 |
Publicatie series
Naam | Lecture Notes in Mathematics |
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Volume | 2328 |
ISSN van geprinte versie | 0075-8434 |
ISSN van elektronische versie | 1617-9692 |
Bibliografische nota
Publisher Copyright:© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.