Localization of Point Sources for Poisson Equation using State Observers
Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputational Bioscience Research Center (CBRC)
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Date
2016-08-09Online Publication Date
2016-08-09Print Publication Date
2016Permanent link to this record
http://hdl.handle.net/10754/622308
Metadata
Show full item recordAbstract
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.Sponsors
Research presented in this paper is funded by King Abdullah University of Science and Technology (KAUST), K.S.A.Publisher
Elsevier BVJournal
IFAC-PapersOnLineAdditional Links
http://www.sciencedirect.com/science/article/pii/S2405896316306218ae974a485f413a2113503eed53cd6c53
10.1016/j.ifacol.2016.07.413