Numerical recovery of Robin boundary from boundary measurements for the Laplace equation

DOI10.1016/j.cam.2008.05.048zbMath1158.65080OpenAlexW2061914532MaRDI QIDQ1002196

Suxing Zeng, Weifu Fang

Publication date: 25 February 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.05.048

zbMATH Keywords

numerical examplesboundary integral equationLaplace equationRobin inverse problemcorrosion detection

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (7)

Solving Robin problems in multiply connected regions via an integral equation with the generalized Neumann kernel ⋮ Simultaneous numerical determination of a corroded boundary and its admittance ⋮ Simultaneous recovery of Robin boundary and coefficient for the Laplace equation by shape derivative ⋮ Recovery of an interface from boundary measurement in an elliptic differential equation ⋮ Numerical methods for piecewise constant Robin coefficient ⋮ Fast Algorithms for Boundary Integral Equations on Elliptic Domains and Related Inverse Problems ⋮ Direct and inverse problem for geometric perturbation of the Laplace operator in a strip

Cites Work

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• Linear integral equations.
• Integral equations for inverse problems in corrosion detection from partial Cauchy data
• A fast collocation method for an inverse boundary value problem
• Corrosion detection in conducting boundaries
• Identification of Robin coefficients by the means of boundary measurements
• Corrosion detection in conducting boundaries: II. Linearization, stability and discretization
• A linear integral equation approach to the Robin inverse problem

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