Hyper-differential sensitivity analysis for inverse problems constrained by partial differential equations

  title={Hyper-differential sensitivity analysis for inverse problems constrained by partial differential equations},
  author={Isaac Sunseri and Joseph L. Hart and Bart G. van Bloemen Waanders and Alen Alexanderian},
  journal={Inverse Problems},
High fidelity models used in many science and engineering applications couple multiple physical states and parameters. Inverse problems arise when a model parameter cannot be determined directly, but rather is estimated using (typically sparse and noisy) measurements of the states. The data is usually not sufficient to simultaneously inform all of the parameters. Consequently, the governing model typically contains parameters which are uncertain but must be specified for a complete model… 

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