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

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 projec...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Deolmi, Giulia, Marcuzzi, Fabio
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 11.10.2011
Subjects
Convection-diffusion equation
Ill posed problems
Inverse problems
Model reduction
Optimization
Parameterization
Proper Orthogonal Decomposition
Reaction-diffusion equations
Water pollution
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422