Non-linear integral equations for the complete electrode model in inverse impedance tomography

DOI10.1080/00036810802032151zbMath1151.45301OpenAlexW2055598671WikidataQ58257965 ScholiaQ58257965MaRDI QIDQ5503685

Harry Eckel, Rainer Kress

Publication date: 16 January 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802032151

zbMATH Keywords

evolutionary algorithmnon-linear integral equationsimpedance tomography

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Biomedical imaging and signal processing (92C55) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems for integral equations (45Q05)

Related Items (4)

Electrical impedance tomography: 3D reconstructions using scattering transforms ⋮ Numerical methods for the shape reconstruction of electrical anomalies using single or double boundary measurements ⋮ Electrical impedance tomography with point electrodes ⋮ Unnamed Item

Cites Work

• A Nyström method for boundary integral equations in domains with corners
• An evolutionary Newton method for shape reconstruction
• Nonlinear integral equations for the inverse electrical impedance problem
• Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
• Recent progress in electrical impedance tomography
• Electrical impedance tomography
• Anomalous thresholds and edge singularities in electrical impedance tomography
• Nonlinear integral equations and the iterative solution for an inverse boundary value problem

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