Pressure-robustness in the context of optimal control | Prof. Winnifried Wollner, Universität Hamburg

Veranstalter:in : Prof. Dr. Andreas Rademacher, (0421) 218 63831
Ort : MZH 5600
Beginn : 04. Juli 2023, 16:00 Uhr
Ende : 04. Juli 2023, 18:00 Uhr

The talk discusses the benefits of pressure-robust discretizations in the scope of optimal control of incompressible flows. Here, gradient forces appearing in the data can have a negative impact on the accuracy of state and control and can only be correctly balanced if their $L^2$-orthogonality onto discretely divergence-free test functions is restored. Perfectly orthogonal divergence-free discretizations or divergence-free reconstructions of these test functions do the trick and lead to much better analytic a priori estimates that are also validated in numerical examples. This is joint work with Christian Merdon (WIAS)

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