Numerical recovery of certain discontinuous electrical conductivities
- 1 December 1991
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 7 (6) , 827-840
- https://doi.org/10.1088/0266-5611/7/6/006
Abstract
The inverse problem of recovering an electrical conductivity of the form gamma (x)=1+(k-1) chi D on a region Omega contained in/implied by R2 from boundary data is considered, where D contained in/implied by contained in/implied by Omega and k is some positive constant. A linearization of the forward problem is formed and used in a least squares output method for approximately solving the inverse problem. Convergence results are proved and some numerical results presented.Keywords
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