Conformal mapping and impedance tomography

DOI10.1088/0266-5611/26/7/074002zbMath1194.35500OpenAlexW2057761659MaRDI QIDQ3580821

Houssem Haddar, Rainer Kress

Publication date: 13 August 2010

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/26/7/074002

zbMATH Keywords

inverse problemsconformal mapping techniqueelectrical impedance tomographyperfectly conducting inclusion

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Conformal mappings of special domains (30C20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Schwarz-Christoffel-type mappings (30C30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Inverse problems for integral equations (45Q05)

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Calderón cavities inverse problem as a shape-from-moments problem ⋮ Enhancing D-bar reconstructions for electrical impedance tomography with conformal maps ⋮ Distinguishability Revisited: Depth Dependent Bounds on Reconstruction Quality in Electrical Impedance Tomography ⋮ A combination of Kohn-Vogelius and DDM methods for a geometrical inverse problem ⋮ Conformal mapping for cavity inverse problem: an explicit reconstruction formula ⋮ Analytical estimation of liquid film thickness in two-phase annular flow using electrical resistance measurement ⋮ 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 ⋮ Optimal Depth-Dependent Distinguishability Bounds for Electrical Impedance Tomography in Arbitrary Dimension ⋮ Inverse problems and conformal mapping

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