Inverse problem of shape identification from boundary measurement for Stokes equations: Shape differentiability of Lagrangian
Abstract: 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.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Inverse problem of shape identification from boundary measurement for Stokes equations: Shape differentiability of Lagrangian ; volume:30 ; number:4 ; year:2022 ; pages:461-474 ; extent:14
Journal of inverse and ill-posed problems ; 30, Heft 4 (2022), 461-474 (gesamt 14)
- Creator
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Kovtunenko, Victor A.
Ohtsuka, Kohji
- DOI
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10.1515/jiip-2020-0081
- URN
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urn:nbn:de:101:1-2022080414104421712429
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:24 AM CEST
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Associated
- Kovtunenko, Victor A.
- Ohtsuka, Kohji
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