Localization of Point Sources for Poisson Equation using State Observers

Majeed, Muhammad Usman; Laleg-Kirati, Taous-Meriem

Localization of Point Sources for Poisson Equation using State Observers

Type

Article

Authors

Majeed, Muhammad Usman

Laleg-Kirati, Taous-Meriem

KAUST Department

Applied Mathematics and Computational Science Program
Computational Bioscience Research Center (CBRC)
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program

Online Publication Date

2016-08-09

Print Publication Date

2016

Date

2016-08-09

Abstract

A method based On iterative observer design is presented to solve point source localization problem for Poisson equation with riven boundary data. The procedure involves solution of multiple boundary estimation sub problems using the available Dirichlet and Neumann data from different parts of the boundary. A weighted sum of these solution profiles of sub-problems localizes point sources inside the domain. Method to compute these weights is also provided. Numerical results are presented using finite differences in a rectangular domain. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

Citation

Majeed MU, Laleg-Kirati TM (2016) Localization of Point Sources for Poisson Equation using State Observers. IFAC-PapersOnLine 49: 25–30. Available: http://dx.doi.org/10.1016/j.ifacol.2016.07.413.

Acknowledgements

Research presented in this paper is funded by King Abdullah University of Science and Technology (KAUST), K.S.A.