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The impedance tomography problem
Author(s):
A.
Boumenir
Journal:
Proc. Amer. Math. Soc.
131
(2003),
3553-3557.
MSC (1991):
Primary 47-XX, 39B42, 35R30
Posted:
February 24, 2003
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Abstract:
Using an operator theoretic framework and pseudo-spectral methods, we provide a simple and explicit formula for the conductivity coefficient in terms of the Dirichlet to Neumann map and the eigenvalues of the Laplacian operator.
References:
-
- 1.
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- S. Siltanen, J. Mueller and D. Isaacson, An implementation of the reconstruction algorithm of A. Nachman for the 2D inverse conductivity problem, Inverse Problems 16, 681-699, (2000). MR 2001g:35269
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47-XX, 39B42, 35R30
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47-XX, 39B42, 35R30
Additional Information:
A.
Boumenir
Affiliation:
Department of Mathematics, State University of West Georgia, Carrollton, Georgia 30118
Email:
boumenir@westga.edu
DOI:
10.1090/S0002-9939-03-06942-9
PII:
S 0002-9939(03)06942-9
Keywords:
Boundary inversion problem,
tomography
Received by editor(s):
May 27, 2002
Received by editor(s) in revised form:
June 24, 2002
Posted:
February 24, 2003
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2003,
American Mathematical Society
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