{"ID":2842680,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.09086","arxiv_id":"2511.09086","title":"A 5D concept for space-time optimal control problems with application to simplified Carreau flow","abstract":"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.","short_abstract":"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 fi...","url_abs":"https://arxiv.org/abs/2511.09086","url_pdf":"https://arxiv.org/pdf/2511.09086v1","authors":"[\"S. Beuchler\",\"B. Endtmayer\",\"U. Langer\",\"A. Schafelner\",\"T. Wick\"]","published":"2025-11-12T08:00:53Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"math.NA\"]","methods":"[]","has_code":false}