Optimum Experimental Design for Interface Identification Problems

@article{Etling2018OptimumED,
  title={Optimum Experimental Design for Interface Identification Problems},
  author={Tommy Etling and Roland Herzog and Martin Siebenborn},
  journal={SIAM J. Sci. Comput.},
  year={2018},
  volume={41},
  pages={A3498-A3523}
}
The identification of the interface of an inclusion in a diffusion process is considered. This task is viewed as a parameter identification problem in which the parameter space bears the structure of a shape manifold. A corresponding optimum experimental design (OED) problem is formulated in which the activation pattern of an array of sensors in space and time serves as experimental condition. The goal is to improve the estimation precision within a certain subspace of the infinite dimensional… 
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