5 papers
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…
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…
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…
A priori error estimates for finite element approximations of regularized level set flows in higher norms
Axel Kröner, Heiko Kröner
This paper proves error estimates for conforming finite elements for equations which model the flow of surfaces by different powers of the mean curvature (this includes mean…
State constrained control-affine parabolic problems II: Second order sufficient optimality conditions
M. Soledad Aronna, J. -Frédéric Bonnans, Axel Kröner
In this paper we consider an optimal control problem governed by a semilinear heat equation with bilinear control-state terms and subject to control and state constraints. The stat…