Optimal actuator design based on shape calculus

@article{Kalise2017OptimalAD,
  title={Optimal actuator design based on shape calculus},
  author={Dante Kalise and Karl Kunisch and Kevin Sturm},
  journal={Mathematical Models and Methods in Applied Sciences},
  year={2017}
}
An approach to optimal actuator design based on shape and topology optimization techniques is presented. For linear diffusion equations, two scenarios are considered. For the first one, best actuators are determined depending on a given initial condition. In the second scenario, optimal actuators are determined based on all initial conditions not exceeding a chosen norm. Shape and topological sensitivities of these cost functionals are determined. A numerical algorithm for optimal actuator… 

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