Conformal mapping and an inverse impedance boundary value problem

DOI10.1515/156939406779768319zbMath1111.35112OpenAlexW4235927985MaRDI QIDQ3431198

Houssem Haddar, Rainer Kress

Publication date: 5 April 2007

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939406779768319

zbMATH Keywords

Laplace equationimpedance boundary conditionLaurent expansionnondestructive testingTikhonov regularizationselectrostatic imaging

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Conformal mappings of special domains (30C20)

Related Items (6)

Calderón cavities inverse problem as a shape-from-moments problem ⋮ Conformal mapping for cavity inverse problem: an explicit reconstruction formula ⋮ A conformal mapping method in inverse obstacle scattering ⋮ A non-typical Lie-group integrator to solve nonlinear inverse Cauchy problem in an arbitrary doubly-connected domain ⋮ Domain derivative approach to active infrared thermography ⋮ Inverse problems and conformal mapping

Cites Work

• Inverse Dirichlet problem and conformal mapping
• Examples of instability in inverse boundary-value problems
• The boundary inverse problem for the Laplace equation in two dimensions
• Electrostatic imaging via conformal mapping
• On finding a surface crack from boundary measurements
• Frechet derivatives in inverse obstacle scattering
• Conformal mappings and inverse boundary value problems
• Optimal stability for the inverse problem of multiple cavities

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