Circular resistor networks for electrical impedance tomography with partial boundary measurements

DOI10.1088/0266-5611/26/4/045010zbMath1191.78050OpenAlexW4243433190WikidataQ118126704 ScholiaQ118126704MaRDI QIDQ3558055

Vladimir Druskin, Liliana Borcea, Alexander V. Mamonov

Publication date: 29 April 2010

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

Full work available at URL: https://doi.org/10.1088/0266-5611/26/4/045010

zbMATH Keywords

inverse problemconformal mappingfinite volume discretizationselectrical impedance tomographyadaptive grids refinement

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Circuits, networks (94C99) Conformal mappings of special domains (30C20) Technical applications of optics and electromagnetic theory (78A55) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory (78M12)

Related Items (7)

A discrete Liouville identity for numerical reconstruction of Schrödinger potentials ⋮ Overdetermined partial resolvent kernels for finite networks ⋮ A shape optimization approach for electrical impedance tomography with point measurements ⋮ Overdetermined partial boundary value problems on finite networks ⋮ A Nonlinear Method for Imaging with Acoustic Waves Via Reduced Order Model Backprojection ⋮ Inverse transport calculations in optical imaging with subspace optimization algorithms ⋮ Reduced order models for spectral domain inversion: embedding into the continuous problem and generation of internal data

Uses Software

• Schwarz-Christoffel
• SC Toolbox

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