Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming

@article{Harrach2022SolvingAI,
  title={Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming},
  author={Bastian von Harrach},
  journal={Optimization Letters},
  year={2022},
  volume={16},
  pages={1599-1609}
}
  • B. Harrach
  • Published 24 May 2021
  • Mathematics
  • Optimization Letters
Several applications in medical imaging and non-destructive material testing lead to inverse elliptic coefficient problems, where an unknown coefficient function in an elliptic PDE is to be determined from partial knowledge of its solutions. This is usually a highly non-linear ill-posed inverse problem, for which unique reconstructability results, stability estimates and global convergence of numerical methods are very hard to achieve. The aim of this note is to point out a new connection… 

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