A procedure for the temperature reconstruction in corner domains from Cauchy data

T. Johansson, L. Marin

    Research output: Contribution to journalArticlepeer-review

    Abstract

    An iterative procedure is proposed for the reconstruction of a stationary temperature field from Cauchy data given on a part of the boundary of a bounded plane domain where the boundary is smooth except for a finite number of corner points. In each step, a series of mixed well-posed boundary value problems are solved for the heat operator and its adjoint. Convergence is proved in a weighted L2-space. Numerical results are included which show that the procedure gives accurate and stable approximations in relatively few iterations.
    Original languageEnglish
    Pages (from-to)357-372
    Number of pages16
    JournalInverse Problems
    Volume23
    Issue number1
    DOIs
    Publication statusPublished - 17 Jan 2007

    Keywords

    • mathematical physics
    • computational physics

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