Hamburger Beiträge zur Angewandten Mathematik

Hamburger Beiträge zur Angewandten Mathematik A Nonlinear Model Predictive Concept for Control of Two-Phase Flows Governed by the Cahn-Hilliard Navier-Stokes System

We present a nonlinear model predictive framework for closedloop control of two-phase flows governed by the Cahn-Hilliard NavierStokes system. We adapt the concept for instantaneous control from [6, 12, 16] to construct distributed closed-loop control strategies for twophase flows. It is well known that distributed instantaneous control is able to stabilize the Burger’s equation [16] and also t...

Hamburger Beiträge zur Angewandten Mathematik A Priori Error Estimates for a Finite Element Discretization of Parabolic Optimization Problems with Pointwise Constraints in Time on Mean Values of the Gradient of the State

This article is concerned with the discretization of parabolic optimization problems subject to pointwise in time constraints on mean values of the derivative of the state variable. Central component of the analysis are a priori error estimates for the dG(0)-cG(1) discretization of the parabolic partial differential equation (PDE) in the L∞(0, T ;H1 0 (Ω))-norm, together with corresponding esti...

Hamburger Beiträge zur Angewandten Mathematik Continuous Convergence of Relations - A Principle in Discretization Procedures

Hamburger Beitrage zur Angewandten Mathematik An Asymptotic-Induced One-Dimensional Model to Describe Fires in Tunnels

Hamburger Beiträge zur Angewandten Mathematik POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks

We consider integrated circuits with semiconductors modelled by modified nodal analysis and 1D drift-diffusion equations. The drift-diffusion equations are discretized in space using finite element methods. The discretization yields a high dimensional differential-algebraic equation. We show how POD methods can be used to reduce the dimension of the model. We compare reduced and fine models and...