Joint estimation of Robin coefficient and domain boundary for the Poisson problem

@article{Nicholson2021JointEO,
  title={Joint estimation of Robin coefficient and domain boundary for the Poisson problem},
  author={Ruanui Nicholson and Matti Niskanen},
  journal={Inverse Problems},
  year={2021},
  volume={38}
}
We consider the problem of simultaneously inferring the heterogeneous coefficient field for a Robin boundary condition on an inaccessible part of the boundary along with the shape of the boundary for the Poisson problem. Such a problem arises in, for example, corrosion detection, and thermal parameter estimation. We carry out both linearised uncertainty quantification, based on a local Gaussian approximation, and full exploration of the joint posterior using Markov chain Monte Carlo sampling… 

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