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arXiv · 2511.09086

A 5D concept for space-time optimal control problems with application to simplified Carreau flow

S. Beuchler·B. Endtmayer·U. Langer·A. Schafelner·T. Wick
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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.

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S. Beuchler, B. Endtmayer, U. Langer, A. Schafelner, T. Wick. 2025-11-12. A 5D concept for space-time optimal control problems with application to simplified Carreau flow. https://arxiv.org/abs/2511.09086

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