An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile
type: Item
instance of: scholarly article
title: An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile
zbMATH Open document ID: 1370.65049
author: Chein-Shan Liu
author: Peifang Wang
author: Jiang-Ren Chang
published in: Journal of Computational and Applied Mathematics
publication date: 2017-08-01T00:00:00Z
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 65M38
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6755381
zbMATH Keywords: pollutant source recovery problem
zbMATH Keywords: initial pollution profile problem
zbMATH Keywords: adjoint Trefftz test functions
zbMATH Keywords: eigenfunctions
zbMATH Keywords: closed-form coefficients expansion
zbMATH Keywords: iterative method
zbMATH Keywords: inverse problem
zbMATH Keywords: convergence
zbMATH Keywords: integral equation method
zbMATH Keywords: advection-diffusion equation
zbMATH Keywords: algorithm
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.cam.2017.05.027
OpenAlex ID: W2618067673
cites work: Q4865485
cites work: A Markov random field model of contamination source identification in porous media flow
cites work: A Quasi-Boundary Semi-Analytical Method for Backward in Time Advection-Dispersion Equation
cites work: A Fictitious Time Integration Method for Backward Advection-Dispersion Equation
cites work: The backward group preserving scheme for 1D backward in time advection-dispersion equation
cites work: Numerical computation of a Cauchy problem for Laplace's equation
cites work: On an inverse source problem for the heat equation. Application to a pollution detection problem
cites work: Identification of transient heat sources using the reciprocity gap
cites work: Stability estimates for point sources identification problem using reciprocity gap concept via the Helmholtz equation
cites work: An iterative technique for solving singularly perturbed parabolic PDE
cites work: Identification of small inclusions from multistatic data using the reciprocity gap concept
DOI: 10.1016/J.CAM.2017.05.027
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description: scientific article; zbMATH DE number 6755381