45 citations · 165 across the 20 of their papers we have counts for
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Convergence of Coprime Factor Perturbations for Robust Stabilization of Oseen Systems
Jan Heiland
Linearization based controllers for incompressible flows have been proven to work in theory and in simulations. To realize such a controller numerically, the infinite dimensional s…
Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations
Maximilian Behr, Peter Benner, Jan Heiland
The differential Riccati equation appears in different fields of applied mathematics like control and system theory. Recently Galerkin methods based on Krylov subspaces were develo…
Numerical benchmarking of fluid-rigid body interactions
Henry von Wahl, Thomas Richter, Christoph Lehrenfeld +2
We propose a fluid-rigid body interaction benchmark problem, consisting of a solid spherical obstacle in a Newtonian fluid, whose centre of mass is fixed but is free to rotate. A n…
Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations
Robert Altmann, Jan Heiland
The Navier--Stokes equations are commonly used to model and to simulate flow phenomena. We introduce the basic equations and discuss the standard methods for the spatial and tempor…