Reconstruction of a grounded object in an electrostatic halfspace with an indicator function

DOI10.1080/17415970600903873zbMath1202.78011OpenAlexW2078215747MaRDI QIDQ3062536

C. A. M. van Berkel, William R. B. Lionheart

Publication date: 28 December 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970600903873

zbMATH Keywords

Laplace equationfactorisation methodlinear samplingcapacitance measurementsinverse boundaryinteractive displays

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Electro- and magnetostatics (78A30)

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Sampling Methods, On the use of an integral equation approach for the numerical solution of a Cauchy problem for Laplace equation in a doubly connected planar domain, On a nonlinear integral equation approach for the surface reconstruction in semi-infinite-layered domains

Cites Work

• Linear sampling methods for inverse boundary value problems in potential theory
• Explicit Characterization of Inclusions in Electrical Impedance Tomography
• A comparison of the Colton–Kirsch inverse scattering methods with linearized tomographic inverse scattering
• The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media
• Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
• A simple method using Morozov's discrepancy principle for solving inverse scattering problems
• Recent progress in electrical impedance tomography
• Why linear sampling works
• Recent Developments in Inverse Acoustic Scattering Theory
• Numerical validation of the linear sampling method
• An inverse problem in electrostatics
• A survey on sampling and probe methods for inverse problems