# Estimation of the Robin coefficient field in a Poisson problem with uncertain conductivity field

@inproceedings{Nicholson2018EstimationOT, title={Estimation of the Robin coefficient field in a Poisson problem with uncertain conductivity field}, author={Ruanui Nicholson and No{\'e}mi Petra and Jari P. Kaipio}, year={2018} }

- Published 2018
DOI:10.1088/1361-6420/aad91e

We consider the reconstruction of a heterogeneous coefficient field in a Robin boundary condition on an inaccessible part of the boundary in a Poisson problem with an uncertain (or unknown) inhomogeneous conductivity field in the interior of the domain. To account for model errors that stem from the uncertainty in the conductivity coefficient, we treat the unknown conductivity as a nuisance parameter and carry out approximative premarginalization over it, and invert for the Robin coefficient… CONTINUE READING

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