Finding the conductors in circular networks from boundary measurements

E. Curtis; E. Mooers; J. Morrow

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1994)

  • Volume: 28, Issue: 7, page 781-814
  • ISSN: 0764-583X

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Curtis, E., Mooers, E., and Morrow, J.. "Finding the conductors in circular networks from boundary measurements." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 28.7 (1994): 781-814. <http://eudml.org/doc/193760>.

@article{Curtis1994,
author = {Curtis, E., Mooers, E., Morrow, J.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {algorithm; circular network; boundary measurements},
language = {eng},
number = {7},
pages = {781-814},
publisher = {Dunod},
title = {Finding the conductors in circular networks from boundary measurements},
url = {http://eudml.org/doc/193760},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Curtis, E.
AU - Mooers, E.
AU - Morrow, J.
TI - Finding the conductors in circular networks from boundary measurements
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1994
PB - Dunod
VL - 28
IS - 7
SP - 781
EP - 814
LA - eng
KW - algorithm; circular network; boundary measurements
UR - http://eudml.org/doc/193760
ER -

References

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  1. [1] A. P. CALDERON, On an inverse boundary value problem, in Seminar on Numerical Analysis and its Applications to Continuum Physics, Rio de Janeiro, 1980, Soc. Brazileira de Mathematica, pp. 65-73. MR590275
  2. [2] E. B. CURTIS, T. EDENS and J. MORROW, Calculating the resistors in a network, in Proc. of the Annual International Conference of the IEEE Engineering in Medicine and Biology society, vol. 11, 1989, pp. 451-2. 
  3. [3] E. B. CURTIS and J. A. MORROW, Determining the resistors in a network, SIAM J. of Applied Math., 50 (1990), pp. 918-930. Zbl0717.35092MR1050922
  4. [4] E. B. CURTIS and J. A. MORROW, The dirichlet to Neumann map for a resistor network, SIAM J. of Applied Math, 51 (1991), pp. 1011-1029. Zbl0744.35064MR1117430
  5. [5] R. KOHN and M. VOGELIUS, Identification of an unknown conductivity by means of measurements at the boundary, in SIAM-AMS Proceedings, vol. 14, 1985, pp. 113-123. Zbl0573.35084MR773707
  6. [6] J. SYLVESTER and G. UHLMANN, A global uniqueness theorem for an inverse boundary value problem, Ann. of Math., 125 (1987), pp. 153-169. Zbl0625.35078MR873380

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