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Title: An Iterative Method Based on Coupled Closed-form Coefficients Expansions for Recovering the Pollutant Source and Initial Pollution Profile
Authors: Chein-ShanLiu;PeifangWang;Jiang-RenChang
Contributors: 國立臺灣海洋大學:系統工程暨造船學系
Keywords: Pollutant source recovery problem;Initial pollution profile problem;Adjoint Trefftz test functions;Eigenfunctions;Closed-form coefficients expansion;Iterative method
Date: 2017
Issue Date: 2018-06-08T08:04:40Z
Publisher: Journal of Computational and Applied Mathematics
Abstract: Abstract:In this paper we develop a weak-form integral equation method for an advection–diffusion equation with an unknown pollutant source and unknown initial pollution profile by using Green’s second identity in terms of boundary conditions on the whole space–time boundary. The numerical algorithm is developed to recover the time-dependent pollutant source under an extra final time condition. The iterative algorithm based on coupled closed-form coefficients expansions method can recover the unknown space-dependent pollutant source and initial pollution profile resorting to two extra conditions at different times, which is convergent very fast. Several numerical examples of the inverse pollutant source problem and initial pollution profile problem demonstrate that the present methods are effective and stable against large noise.
Relation: 326 pp.87-98
Appears in Collections:[Department of Systems Engineering and Naval Architecture] Periodical Articles

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