Newton regularizations for impedance tomography: a numerical study

DOI10.1088/0266-5611/22/6/004zbMath1109.65100OpenAlexW2034612641WikidataQ60707581 ScholiaQ60707581MaRDI QIDQ3419261

Armin Lechleiter, Andreas Rieder

Publication date: 6 February 2007

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

Full work available at URL: https://publikationen.bibliothek.kit.edu/1000011040

zbMATH Keywords

convergenceinverse problemfinite element methodregularizationnumerical examplesconjugate gradient methoddiscrepancy principlenonlinear ill-posed problemselectrical impedance tomographyinexact Newton iterationnumerical comparisonMaxwell's equationreconstructions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Radon transform (44A12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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