13 citations · 14 across the 3 of their papers we have counts for
7 papers · 1 filter
The topological state derivative: an optimal control perspective on topology optimisation
Phillip Baumann, Idriss Mazari-Fouquer, Kevin Sturm
In this paper we introduce the topological state derivative for general topological dilatations and explore its relation to standard optimal control theory. We show that for a clas…
Shape Optimization of Actuators over Banach Spaces for Nonlinear Systems
M. Sajjad Edalatzadeh, Dante Kalise, Kirsten A. Morris +1
In this paper, optimal actuator shape for nonlinear parabolic systems is discussed. The system under study is an abstract differential equation with a locally Lipschitz nonlinear p…
On the explicit feedback stabilisation of 1D linear nonautonomous parabolic equations via oblique projections
Sérgio S. Rodrigues, Kevin Sturm
In recently proposed stabilisation techniques for parabolic equations, a crucial role is played by a suitable sequence of oblique projections in Hilbert spaces, onto the linear spa…
Topological sensitivities via a Lagrangian approach for semi-linear problems
Kevin Sturm
In this paper we present a methodology that allows the efficient computation of the topological derivative for semilinear elliptic problems within the averaged adjoint Lagrangian f…
Reproducing kernel Hilbert spaces and variable metric algorithms in PDE constrained shape optimisation
Martin Eigel, Kevin Sturm
In this paper we investigate and compare different gradient algorithms designed for the domain expression of the shape derivative. Our main focus is to examine the usefulness of ke…
A structure theorem for shape functions defined on submanifolds
K. Sturm
In this paper, we study shape functions depending on closed submanifolds. We prove a new structure theorem that establishes the general structure of the shape derivative for this t…