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Reconstruction of cracks with unknown transmission condition from boundary data*

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Published 9 November 2004 • 2005 IOP Publishing Ltd
, , Citation Kurt Bryan et al 2005 Inverse Problems 21 21 DOI 10.1088/0266-5611/21/1/003

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Author affiliations

1 Department of Mathematics, Rose-Hulman Institute of Technology, Terre Haute, IN 47803, USA

2 Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA

3 Department of Mathematics and Statistics, Boston University, Boston, MA 02215, USA

Dates

  1. Received 10 May 2004
  2. Published

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0266-5611/21/1/21

Abstract

We examine the problem of identifying both the location and constitutive law governing electrical current flow across a one-dimensional linear crack in a two-dimensional region when the crack only partially blocks the flow of current. We develop a constructive numerical procedure for solving the inverse problem and provide computational examples.

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Footnotes

  • * 

    This work was partially supported by an NSF-REU grant, DMS-0097804.

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10.1088/0266-5611/21/1/003