Szczegóły publikacji
Opis bibliograficzny
Effective solution of ill-posed inverse problems with stabilized forward solver / Marcin ŁOŚ, Robert SCHAEFER, Maciej SMOŁKA // W: Computational Science – ICCS 2021 : 21st international conference : Krakow, Poland, June 16–18, 2021 : proceedings, Pt. 2 / eds. Maciej Paszyński, [et al.]. — Cham : Springer Nature Switzerland, cop. 2021. — (Lecture Notes in Computer Science ; ISSN 0302-9743 ; LNCS 12743. Theoretical Computer Science and General Issues ; ISSN 0302-9743). — ISBN: 978-3-030-77963-4; e-ISBN: 978-3-030-77964-1. — S. 343–357. — Bibliogr. s. 356, Abstr. — Publikacja dostępna online od: 2021-06-09
Autorzy (3)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 134722 |
|---|---|
| Data dodania do BaDAP | 2021-06-23 |
| Tekst źródłowy | URL |
| DOI | 10.1007/978-3-030-77964-1_27 |
| Rok publikacji | 2021 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp |  |
| Creative Commons | |
| Wydawca | Springer |
| Konferencja | International Conference on Computational Science 2021 |
| Czasopisma/serie | Lecture Notes in Computer Science, Theoretical Computer Science and General Issues |
Abstract
We consider inverse parametric problems for elliptic variational PDEs. They are solved through the minimization of misfit functionals. Main difficulties encountered consist in the misfit multimodality and insensitivity as well as in the weak conditioning of the direct (forward) problem, that therefore requires stabilization. A complex multi-population memetic strategy hp-HMS combined with the Petrov-Galerkin method stabilized by the Demkowicz operator is proposed to overcome obstacles mentioned above. This paper delivers the theoretical motivation for the common inverse/forward error scaling, that can reduce significantly the computational cost of the whole strategy. A short illustrative numerical example is attached at the end of the paper.
