Inverse source problem in a one-dimensional evolution linear transport equation with spatially varying coefficients: application to surface water pollution

DOI10.1080/17415977.2013.764871zbMath1308.65158OpenAlexW1977293165MaRDI QIDQ5244937

Imed Mahfoudhi, Adel Hamdi

Publication date: 1 April 2015

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

Full work available at URL: https://doi.org/10.1080/17415977.2013.764871

zbMATH Keywords

optimizationpartial differential equationsinverse source problemenvironmental monitoringadvection-dispersion-reaction equationssurface water pollution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems in geophysics (86A22) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (10)

Identification of a space- and time-dependent source in a variable coefficient advection-diffusion equation from Dirichlet and Neumann boundary measured outputs ⋮ An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems ⋮ Dispersion–current adjoint functions for monitoring accidental sources in 3D transport equations ⋮ Identification of separable sources for advection-diffusion equations with variable diffusion coefficient from boundary measured data ⋮ Unsupervised machine learning based on non-negative tensor factorization for analyzing reactive-mixing ⋮ Detection-Identification of multiple unknown time-dependent point sources in a 2D transport equation: application to accidental pollution ⋮ Identification of time active limit with lower and upper bounds of total amount loaded by unknown sources in 2D transport equations ⋮ Some remarks on a class of inverse problems related to the parabolic approximation to the Maxwell equations: a controllability approach ⋮ Inverse source problem based on two dimensionless dispersion-current functions in 2D evolution transport equations ⋮ Identification of release sources in advection-diffusion system by machine learning combined with Green's function inverse method

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