Optimal Damping Set of a Membrane and Topology Discovering Shape Optimization

@inproceedings{Lassila2007OptimalDS,
  title={Optimal Damping Set of a Membrane and Topology Discovering Shape Optimization},
  author={Toni Lassila},
  year={2007}
}
We study a shape optimization problem of finding the optimal damping set of a two-dimensional membrane such that the energy of the membrane is minimized at some fixed end time. We present numerical results based on level set methods, which lead to two observations. First, that the methods presented allow for certain topological changes in the optimized… CONTINUE READING