Identification of point sources in two-dimensional advection-diffusion-reaction equation: application to pollution sources in a river. Stationary case

DOI10.1080/17415970601162198zbMath1258.76151OpenAlexW2128144478MaRDI QIDQ4908294

Adel Hamdi

Publication date: 5 March 2013

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970601162198

zbMATH Keywords

optimizationstabilityidentifiabilityinverse source problemadvection-diffusion-reaction equation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Inverse problems in geophysics (86A22) Reaction effects in flows (76V05) Diffusion and convection (76R99)

Related Items (13)

Inverse source problem in a 2D linear evolution transport equation: detection of pollution source ⋮ Determination of a term in the right-hand side of parabolic equations ⋮ Boundary null-controllability of linear diffusion-reaction equations ⋮ The method of fundamental solutions for pointwise source reconstruction ⋮ On determining the source function in heat and mass transfer problems under integral overdetermination conditions ⋮ A novel identification scheme of an inverse source problem based on Hilbert reproducing kernels ⋮ Some classes of inverse problems of determining the source function in convection-diffusion systems ⋮ On some classes of inverse problems of recovering a source function ⋮ Identification of hazards with impulsive sources ⋮ On some inverse problems for first order operator-differential equations ⋮ Nonlinear least squares algorithm for identification of hazards ⋮ Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem ⋮ An efficient and robust algorithm for source reconstruction in the Helmholtz equation

Cites Work

• Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation
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• Identification of a discontinuous source in the heat equation
• Structural identification of an unknown source term in a heat equation
• On a non-linear geometrical inverse problem of Signorini type: identifiability and stability
• Uniqueness and stable determination of forcing terms in linear partial differential equations with overspecified boundary data
• On an inverse source problem for the heat equation. Application to a pollution detection problem
• Identification of Robin coefficients by the means of boundary measurements
• Identification of a point source in a linear advection–dispersion–reaction equation: application to a pollution source problem
• Determination of an Unknown Heat Source from Overspecified Boundary Data

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