1 citations · 2 across the 5 of their papers we have counts for
20 papers
A Novel -Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization
Peter Marvin Müller, Niklas Kühl, Martin Siebenborn +3
We introduce a novel method for the implementation of shape optimziation in fluid dynamics applications, where we propose to use the shape derivative to determine deformation field…
Time adaptivity in model predictive control
Alessandro Alla, Carmen Gräßle, Michael Hinze
The core of the Model Predictive Control (MPC) method in every step of the algorithm consists in solving a time-dependent optimization problem on the prediction horizon of the MPC…
A space-time certified reduced basis method for quasilinear parabolic partial differential equations
Michael Hinze, Denis Korolev
In this paper, we propose a certified reduced basis (RB) method for quasilinear parabolic problems. The method is based on a space-time variational formulation. We provide a residu…
Cahn-Hilliard Navier-Stokes Simulations for Marine Free-Surface Flows
Niklas Kühl, Michael Hinze, Thomas Rung
The paper is devoted to the simulation of maritime two-phase flows of air and water. Emphasis is put on an extension of the classical Volume-of-Fluid (VoF) method by a diffusive co…
Variational discretization approach applied to an optimal control problem with bounded measure controls
Evelyn Herberg, Michael Hinze
We consider a parabolic optimal control problem with an initial measure control. The cost functional consists of a tracking term corresponding to the observation of the state at fi…
Reduced basis methods for quasilinear elliptic PDEs with applications to permanent magnet synchronous motors
Michael Hinze, Denis Korolev
In this paper, we propose a certified reduced basis (RB) method for quasilinear elliptic problems together with its application to nonlinear magnetostatics equations, where the lat…