Inverse problem of breaking line identification by shape optimization Научная публикация
| Журнал |
Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219 |
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| Вых. Данные | Год: 2019, Том: 28, Номер: 1, Страницы: 119-135 Страниц : 17 DOI: 10.1515/jiip-2019-0047 | ||||
| Ключевые слова | fracture; free boundary problems; inverse problems; Optimization of shapes | ||||
| Авторы |
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| Организации |
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Реферат:
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.
Библиографическая ссылка:
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
Даты:
| Поступила в редакцию: | 27 июн. 2019 г. |
| Принята к публикации: | 3 нояб. 2019 г. |
| Опубликована online: | 4 дек. 2019 г. |
| Опубликована в печати: | 1 февр. 2020 г. |
Идентификаторы БД:
| Web of science: | WOS:000510025200010 |
| Scopus: | 2-s2.0-85076308630 |
| РИНЦ: | 43210835 |
| OpenAlex: | W2991680187 |