Reconstruction of piecewise constant layered conductivities in electrical impedance tomography
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Publication:5124552
DOI10.1080/03605302.2020.1760884zbMath1448.35572arXiv1904.07775OpenAlexW3025929738MaRDI QIDQ5124552
Publication date: 29 September 2020
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.07775
electrical impedance tomographypiecewise constant coefficientmonotonicity principlepartial data reconstruction
Monotone operators and generalizations (47H05) PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) PDEs with low regular coefficients and/or low regular data (35R05)
Related Items (11)
Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities ⋮ Series reversion in Calderón’s problem ⋮ Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography ⋮ Reconstruction of singular and degenerate inclusions in Calderón's problem ⋮ The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization ⋮ Reconstruction of Cracks in Calderón’s Inverse Conductivity Problem Using Energy Comparisons ⋮ Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement ⋮ Monotonicity-Based Reconstruction of Extreme Inclusions in Electrical Impedance Tomography ⋮ Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem ⋮ Monotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and Stability ⋮ Simplified reconstruction of layered materials in EIT
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