STABILITY OF THE SOLUTIONS OF AN INVERSE PROBLEM FOR LAPLACE'S EQUATION IN A THIN STRIP

DOI10.1081/NFA-100105307zbMath0988.35167MaRDI QIDQ2769518

Dario Fasino, Gabriele Inglese

Publication date: 22 July 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

Robin boundary conditionrectangular domainLaplace's equationCauchy datalogarithmic stability estimatesheat exchange coefficient

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Heuristic methods for the reconstruction of two corrosion parameters from incomplete boundary data in a thin rectangular domain ⋮ Logarithmic convergence rates for the identification of a nonlinear Robin coefficient ⋮ Recovering nonlinear terms in an inverse boundary value problem for Laplace's equation: a stability estimate ⋮ Stability and reconstruction for inverse corrosion problems ⋮ On a logarithmic stability estimate for an inverse heat conduction problem ⋮ Analytic extensions and Cauchy-type inverse problems on annular domains: stability results

Cites Work

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• Identification problems in potential theory
• On differentiation of approximately given functions^†
• An inverse Robin problem for Laplace's equation: theoretical results and numerical methods
• Discrete methods in the study of an inverse problem for Laplace's equation
• An inverse problem in corrosion detection
• Method for imaging corrosion damage in thin plates from electrostatic data
• Identification of Robin coefficients by the means of boundary measurements

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