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

Giulia Deolmi; Fabio Marcuzzi

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arXiv · 1110.2376

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

Giulia Deolmi·Fabio Marcuzzi

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Abstract

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.

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Giulia Deolmi, Fabio Marcuzzi. 2011-10-11. Parabolic inverse convection-diffusion-reaction problem solved using an adaptive parametrization. https://arxiv.org/abs/1110.2376

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