146 citations · 251 across the 18 of their papers we have counts for
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Approximate Controllability of Linearized Shape-Dependent Operators for Flow Problems
Christian Leithäuser, René Pinnau, Robert Feßler
We study the controllability of linearized shape-dependent operators for flow problems. The first operator is a mapping from the shape of the computational domain to the tangential…
A Numerical Approach to Shape Optimization with State Constraints
Christian Leithäuser, René Pinnau, Robert Feßler
We present a general numerical approach to shape optimization with state constraints for 2-dimensional geometries, without relaxing the constraints. To do this we reformulate the p…
On the Effects of Bohm's Potential on a Stationary Macroscopic System of Self-Interacting Particles
René Pinnau, Oliver Tse
We consider a macroscopic model describing a system of self-gravitating particles. We study the existence and uniqueness of non-negative stationary solutions and allude the differe…
The Semi-Classical Limit of an Optimal Design Problem for the Stationary Quantum Drift-Diffusion Model
René Pinnau, Sebastian Rau, Florian Schneider +1
We consider an optimal semiconductor design problem for the quantum drift diffusion (QDD) model in the semiclassical limit. The design question is formulated as a PDE constrained o…