Inverse problem of breaking line identification by shape optimization Full article
| Journal |
Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219 |
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| Output data | Year: 2019, Volume: 28, Number: 1, Pages: 119-135 Pages count : 17 DOI: 10.1515/jiip-2019-0047 | ||||
| Tags | fracture; free boundary problems; inverse problems; Optimization of shapes | ||||
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Abstract:
An inverse breaking line identification problem formulated as an optimal control problem with a suitable PDE constraint is studied. The constraint is a boundary value problem describing the anti-plane equilibrium of an elastic body with a stress-free breaking line under the action of a traction force at the boundary. The behavior of the displacement is observed on a subset of the boundary, and the optimal breaking line is identified by minimizing the L 2 {L^{2}}-distance between the displacement and the observation. Then the optimal control problem is solved by shape optimization techniques via a Lagrangian approach. Several numerical experiments are carried out to show its performance in diverse situations.
Cite:
Ghilli D.
, Kunisch K.
, Kovtunenko V.A.
Inverse problem of breaking line identification by shape optimization
Journal of Inverse and Ill-Posed Problems. 2019. V.28. N1. P.119-135. DOI: 10.1515/jiip-2019-0047 WOS Scopus РИНЦ OpenAlex
Inverse problem of breaking line identification by shape optimization
Journal of Inverse and Ill-Posed Problems. 2019. V.28. N1. P.119-135. DOI: 10.1515/jiip-2019-0047 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jun 27, 2019 |
| Accepted: | Nov 3, 2019 |
| Published online: | Dec 4, 2019 |
| Published print: | Feb 1, 2020 |
Identifiers:
| Web of science: | WOS:000510025200010 |
| Scopus: | 2-s2.0-85076308630 |
| Elibrary: | 43210835 |
| OpenAlex: | W2991680187 |