Optimal Control Problems in Nonsmooth Solid and Fluid Mechanics : Computational Aspects
Abstract
The paper is devoted to numerical realization of nonsmooth optimal control problems in solid and fluid mechanics with special emphasis on contact shape optimization and parameter identification in fluid flow models. Nonsmoothness is usually owing to the state constraint, typically given by an inequality type problem governing the optimized system. To remove the nonsmooth character, which complicates numerical realization, the penalization/regularization of the state constraint is used. The resulting optimal control problem becomes smooth and it can be solved by standard methods of smooth optimization. This approach is illustrated with a parameter identification in the system driven by the Stokes equation with threshold slip boundary conditions.
Main Authors
Format
Books
Book part
Published
2023
Series
Subjects
Publication in research information system
Publisher
Springer
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202309145093Käytä tätä linkitykseen.
Parent publication ISBN
978-3-031-29081-7
Review status
Peer reviewed
ISSN
1871-3033
DOI
https://doi.org/10.1007/978-3-031-29082-4_10
Language
English
Published in
Computational Methods in Applied Sciences
Is part of publication
Impact of Scientific Computing on Science and Society
Citation
- Haslinger, J., & Mäkinen, R. A. E. (2023). Optimal Control Problems in Nonsmooth Solid and Fluid Mechanics : Computational Aspects. In P. Neittaanmäki, & M.-L. Rantalainen (Eds.), Impact of Scientific Computing on Science and Society (pp. 181-193). Springer. Computational Methods in Applied Sciences, 58. https://doi.org/10.1007/978-3-031-29082-4_10
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Additional information about funding
The first author acknowledges the support of FW01010096 of the Czech Technological Agency.
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Copyright© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG