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    Localization of Point Sources for Poisson Equation using State Observers

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    Type
    Article
    Authors
    Majeed, Muhammad Usman cc
    Laleg-Kirati, Taous-Meriem cc
    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
    Date
    2016-08-09
    Online Publication Date
    2016-08-09
    Print Publication Date
    2016
    Permanent link to this record
    http://hdl.handle.net/10754/622308
    
    Metadata
    Show full item record
    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.
    Sponsors
    Research presented in this paper is funded by King Abdullah University of Science and Technology (KAUST), K.S.A.
    Publisher
    Elsevier BV
    Journal
    IFAC-PapersOnLine
    DOI
    10.1016/j.ifacol.2016.07.413
    Additional Links
    http://www.sciencedirect.com/science/article/pii/S2405896316306218
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.ifacol.2016.07.413
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Electrical and Computer Engineering Program; Computational Bioscience Research Center (CBRC); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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