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Point electrode problems in piecewise smooth plane domains

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 نشر من قبل Otto Seiskari
 تاريخ النشر 2012
  مجال البحث
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 تأليف Otto Seiskari




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Conductivity equation is studied in piecewise smooth plane domains and with measure-valued current patterns (Neumann boundary values). This allows one to extend the recently introduced concept of bisweep data to piecewise smooth domains, which yields a new partial data result for Calderon inverse conductivity problem. It is also shown that bisweep data are (up to a constant scaling factor) the Schwartz kernel of the relative Neumann-to-Dirichlet map. A numerical method for reconstructing the supports of inclusions from discrete bisweep data is also presented.



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