• Corpus ID: 118295519

Parabolic inverse convection-diffusion-reaction problem solved using an adaptive parametrization

  title={Parabolic inverse convection-diffusion-reaction problem solved using an adaptive parametrization},
  author={Giulia Deolmi and Fabio Marcuzzi},
  journal={arXiv: Numerical Analysis},
This paper investigates the solution of a parabolic inverse problem based upon the convection-diffusion-reaction equation, which can be used to estimate both water and air pollution. We will consider both known and unknown source location: while in the first case the problem is solved using a projected damped Gauss-Newton, in the second one it is ill-posed and an adaptive parametrization with time localization will be adopted to regularize it. To solve the optimization loop a model reduction… 



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