A 5D concept for space-time optimal control problems with application to simplified Carreau flow
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915612925624320 |
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| author | Beuchler, S. Endtmayer, B. Langer, U. Schafelner, A. Wick, T. |
| author_facet | Beuchler, S. Endtmayer, B. Langer, U. Schafelner, A. Wick, T. |
| contents | This work presents a 5D concept to optimizing non-Newtonian fluid flows through a simplified Carreau flow model. We solve the optimization problem by approximating the solution of the KKT System with fully space-time finite element methods instead of the more traditional time-stepping technique combined with spatial finite element discretization. Therein, the finite element method is formulated in 3D in space, 1D in time, and 1D in the optimization loop, yielding a 5D overall framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09086 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A 5D concept for space-time optimal control problems with application to simplified Carreau flow Beuchler, S. Endtmayer, B. Langer, U. Schafelner, A. Wick, T. Optimization and Control Numerical Analysis This work presents a 5D concept to optimizing non-Newtonian fluid flows through a simplified Carreau flow model. We solve the optimization problem by approximating the solution of the KKT System with fully space-time finite element methods instead of the more traditional time-stepping technique combined with spatial finite element discretization. Therein, the finite element method is formulated in 3D in space, 1D in time, and 1D in the optimization loop, yielding a 5D overall framework. |
| title | A 5D concept for space-time optimal control problems with application to simplified Carreau flow |
| topic | Optimization and Control Numerical Analysis |
| url | https://arxiv.org/abs/2511.09086 |