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math.OC2021
Differentiability properties for boundary control of fluid-structure interactions of linear elasticity with Navier-Stokes equations with mixed-boundary conditions in a channel
Michael Hintermüller, Axel Kröner
In this paper we consider a fluid-structure interaction problem given by the steady Navier Stokes equations coupled with linear elasticity taken from [Lasiecka, Szulc, and Zochoswk…
math.OC2021
Existence, uniqueness, and stabilization results for parabolic variational inequalities
Axel Kröner, Carlos N. Rautenberg, Sérgio S. Rodrigues
In this paper we consider feedback stabilization for parabolic variational inequalities of obstacle type with time and space depending reaction and convection coefficients and show…
cs.LG2021
Classification with Runge-Kutta networks and feature space augmentation
Elisa Giesecke, Axel Kröner
In this paper we combine an approach based on Runge-Kutta Nets considered in [Benning et al., J. Comput. Dynamics, 9, 2019] and a technique on augmenting the input space in [Dupont…