Point electrode problems in piecewise smooth plane domains
Analysis of PDEs
2021-06-14 v2
Abstract
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 Calder\'on 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.
Cite
@article{arxiv.1212.5424,
title = {Point electrode problems in piecewise smooth plane domains},
author = {Otto Seiskari},
journal= {arXiv preprint arXiv:1212.5424},
year = {2021}
}