Logarithmic stability estimates for an inverse source problem from interior measurements

DOI10.1080/00036811.2016.1260709zbMath1390.35414OpenAlexW2565822021WikidataQ58186853 ScholiaQ58186853MaRDI QIDQ4638894

Hayat Moustafa, Abdellatif El Badia, Ahmad El Hajj, Mustapha Jazar

Publication date: 2 May 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1260709

zbMATH Keywords

Poisson equationlogarithmic stability estimatesseawater intrusionelectroencephalography/magnetoencephalographyobservability inequality inverse source problems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Green's functions for elliptic equations (35J08)

Related Items (4)

A preconditioned Krylov subspace iterative methods for inverse source problem by virtue of a regularizing LM-DRBEM ⋮ On the recovery of internal source for an elliptic system by neural network approximation ⋮ Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem ⋮ A Discontinuous Dual Reciprocity Method in Conjunction with a Regularized Levenberg–Marquardt Method for Source Term Recovery in Inhomogeneous Anisotropic Materials

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