Inverse problem of shape identification from boundary measurement for Stokes equations: Shape differentiability of Lagrangian Научная публикация
| Журнал |
Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219 |
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| Вых. Данные | Год: 2021, Том: 30, Номер: 4, Страницы: 461-474 Страниц : 14 DOI: 10.1515/jiip-2020-0081 | ||||||
| Ключевые слова | adjoint state; incompressibility; inverse identification problem; Lagrangian; saddle-point problem; shape derivative; state-constrained optimization; Stokes flow | ||||||
| Авторы |
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| Организации |
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Реферат:
For Stokes equations under divergence-free and mixed boundary conditions, the inverse problem of shape identification from boundary measurement is investigated. Taking the least-square misfit as an objective function, the state-constrained optimization is treated by using an adjoint state within the Lagrange approach. The directional differentiability of a Lagrangian function with respect to shape variations is proved within the velocity method, and a Hadamard representation of the shape derivative by boundary integrals is derived explicitly. The application to gradient descent methods of iterative optimization is discussed.
Библиографическая ссылка:
Kovtunenko V.A.
, Ohtsuka K.
Inverse problem of shape identification from boundary measurement for Stokes equations: Shape differentiability of Lagrangian
Journal of Inverse and Ill-Posed Problems. 2021. V.30. N4. P.461-474. DOI: 10.1515/jiip-2020-0081 WOS Scopus РИНЦ OpenAlex
Inverse problem of shape identification from boundary measurement for Stokes equations: Shape differentiability of Lagrangian
Journal of Inverse and Ill-Posed Problems. 2021. V.30. N4. P.461-474. DOI: 10.1515/jiip-2020-0081 WOS Scopus РИНЦ OpenAlex
Идентификаторы БД:
| Web of science: | WOS:000835425000001 |
| Scopus: | 2-s2.0-85098884497 |
| РИНЦ: | 45025158 |
| OpenAlex: | W3118130805 |