Parabolic inverse convection-diffusion-reaction problem solved using an adaptive parametrization
Numerical Analysis
2011-10-12 v1
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.
Cite
@article{arxiv.1110.2376,
title = {Parabolic inverse convection-diffusion-reaction problem solved using an adaptive parametrization},
author = {Giulia Deolmi and Fabio Marcuzzi},
journal= {arXiv preprint arXiv:1110.2376},
year = {2011}
}