Interface Identification constrained by Local-to-Nonlocal Coupling
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917594247725056 |
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| author | Schuster, Matthias Schulz, Volker |
| author_facet | Schuster, Matthias Schulz, Volker |
| contents | Models of physical phenomena that use nonlocal operators are better suited for some applications than their classical counterparts that employ partial differential operators. However, the numerical solution of these nonlocal problems can be quite expensive. Therefore, Local-to-Nonlocal couplings have emerged that combine partial differential operators with nonlocal operators. In this work, we make use of an energy-based Local-to-Nonlocal coupling that serves as a constraint for an interface identification problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12871 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Interface Identification constrained by Local-to-Nonlocal Coupling Schuster, Matthias Schulz, Volker Optimization and Control 49Q10, 45P05 Models of physical phenomena that use nonlocal operators are better suited for some applications than their classical counterparts that employ partial differential operators. However, the numerical solution of these nonlocal problems can be quite expensive. Therefore, Local-to-Nonlocal couplings have emerged that combine partial differential operators with nonlocal operators. In this work, we make use of an energy-based Local-to-Nonlocal coupling that serves as a constraint for an interface identification problem. |
| title | Interface Identification constrained by Local-to-Nonlocal Coupling |
| topic | Optimization and Control 49Q10, 45P05 |
| url | https://arxiv.org/abs/2402.12871 |