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Convexification With the Viscocity Term for Electrical Impedance Tomography

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arxiv 2503.07916 v1 pith:52EBP6DJ submitted 2025-03-10 math.NA cs.NA

Michael V. Klibanov , Jingzhi Li , Zhipeng Yang This is my paper · ORCID
classification math.NAcs.NA
keywords convexificationelectricalimpedancenumericaltermtomographyversionanalysis
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A version of the globally convergent convexification numerical method is constructed for the problem of Electrical Impedance Tomography in the 2D case. An important element of this version is the presence of the viscosity term. Global convergence analysis is carried out. Results of numerical experiments are presented.

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  1. Support identification for parameter variations in a PDE system via regularized methods

    math.OC 2025-05 conditional novelty 5.0 of 10

    A hybrid monotonicity-plus-TSVD reconstruction method recovers the spatial supports of parameter variations in a linear elasticity PDE system from boundary measurements, including disjoint supports.

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