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}
}
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
2
Twitter Mentions

References

Publications referenced by this paper.
SHOWING 1-10 OF 50 REFERENCES

Computational Methods for Inverse Problems

C. R. Vogel
  • 2002
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Large-Scale Inverse Problems and Quantification Volume x

M. Frangos, Y. Marzouk, K. Willcox, B. van Bloemen Waanders
  • Issue x,
  • 2017
VIEW 1 EXCERPT