26 citations · 164 across the 38 of their papers we have counts for
6 papers · 1 filter
Adjoint Complement to the Volume-of-Fluid Method for Immiscible Flows
Niklas Kühl, Jörn Kröger, Martin Siebenborn +2
The paper is concerned with an adjoint complement to the Volume-of-Fluid (VoF) method for immiscible two-phase flows, e.g. air and water, which is widely used in marine engineering…
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…