Resolution guarantees for the reconstruction of inclusions in linear elasticity based on monotonicity methods
- We deal with the reconstruction of inclusions in elastic bodies based on monotonicity methods and construct conditions under which a resolution for a given partition can be achieved. These conditions take into account the background error as well as the measurement noise. As a main result, this shows us that the resolution guarantees depend heavily on the Lamé parameter μ and only marginally on λ.
| Author: | Sarah EberleORCiDGND, Bastian von HarrachORCiDGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-717123 |
| DOI: | https://doi.org/10.48550/arXiv.2208.06865 |
| ArXiv Id: | http://arxiv.org/abs/2208.06865 |
| Document Type: | Preprint |
| Language: | English |
| Date of Publication (online): | 2022/08/14 |
| Date of first Publication: | 2022/08/14 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2023/01/26 |
| Page Number: | 16 |
| HeBIS-PPN: | 509778399 |
| Institutes: | Informatik und Mathematik / Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - CC BY - Namensnennung 4.0 International |
