• Corpus ID: 118295519

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

@article{Deolmi2011ParabolicIC,
  title={Parabolic inverse convection-diffusion-reaction problem solved using an adaptive parametrization},
  author={Giulia Deolmi and Fabio Marcuzzi},
  journal={arXiv: Numerical Analysis},
  year={2011}
}

• G. Deolmi, F. Marcuzzi
• Published 11 October 2011
• Mathematics
• 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 technique (Proper Orthogonal Decomposition) is used.