On Computation of the Shape Hessian of the Cost Functional Without Shape Sensitivity of the State Variable

@article{Kasumba2014OnCO,
  title={On Computation of the Shape Hessian of the Cost Functional Without Shape Sensitivity of the State Variable},
  author={H. Kasumba and Karl Kunisch},
  journal={J. Optimization Theory and Applications},
  year={2014},
  volume={162},
  pages={779-804}
}
A framework for calculating the shape Hessian for the domain optimization problem with a partial differential equation as the constraint is presented. First and second order approximations of the cost with respect to geometry perturbations are arranged in an efficient manner that allows the computation of the shape derivative and Hessian of the cost without… CONTINUE READING