The born approximation and Calderón's method for reconstruction of conductivities in 3-D

Kim Knudsen, Jennifer L. Mueller

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    Two algorithms for the direct reconstruction of conductivities in a bounded domain in [\mathbb{R}^3] from surface measurements of the solutions to the conductivity equation are presented. The algorithms are based on complex geometrical optics solutions and a nonlinear scattering transform. We test the algorithms on three numerically simulated examples, including an example with a complex coefficient. The spatial resolution and amplitude of the examples are well-reconstructed.
    Original languageEnglish
    JournalDiscrete and Continuous Dynamical Systems, Supplements
    Volume2011
    Issue numberSpecial
    Pages (from-to)844-853
    DOIs
    Publication statusPublished - 2011

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