On optimal solution of an inverse air pollution problem: Theory and numerical approach

✍ Scribed by David Parra-Guevara; Yuri N. Skiba

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 910 KB
• Volume: 43
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/j.mcm.2005.03.007

✦ Synopsis

A three-dimensional dispersion air pollution model with point sources is considered in a limited region. The adjoint model and the duality principle are used to pose a variational short-term control problem with the aim of determining optimal emission rates of the sources. The existence and uniqueness of the optimal control problem solution are proved. A numerical scheme using a process of orthogonal projections is given for approximating the optimal solution. The computing efficiency of the scheme is shown. Numerical results obtained in the case of a single point source demonstrate the method's ability.