A 5D concept for space-time optimal control problems with application to simplified Carreau flow
Optimization and Control
2025-11-13 v1 Numerical Analysis
Numerical Analysis
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.
Cite
@article{arxiv.2511.09086,
title = {A 5D concept for space-time optimal control problems with application to simplified Carreau flow},
author = {S. Beuchler and B. Endtmayer and U. Langer and A. Schafelner and T. Wick},
journal= {arXiv preprint arXiv:2511.09086},
year = {2025}
}