A numerical investigation of the inverse potential conductivity problem in a circular inclusion

Inverse Problems in Engineering

Volumn 9, Issue 1, 2001, Pages 1-17

  Lesnic, D ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Boundary element method; Inverse conductivity

Indexed keywords

EID: 0001847248     PISSN: 10682767     EISSN: None     Source Type: Journal    
DOI: 10.1080/174159701088027750     Document Type: Article

References (16)

1. Barcelo, B., Fabes, E. and Seo, J. K. (1994) The inverse conductivity problem with one measurement: Uniqueness for convex polyhedra, Proc. Am. Math. Soc., 122, 183-189.
2. Beck, J. V. and Arnold, J. K. (1977) Parameter Estimation in Engineering and Science, J. Wiley, New York.
3. Condamines, T. (2000) New reconstruction algorithms in electrical impedance tomography, In: The 3rd Int. Conf. Inverse Problems in Engineering, Port Ludlow, USA, pp. 417-423.
4. Friedman, A. and Isakov, V. (1989) On the uniqueness in the inverse conductivity problem with one measurement, Indiana Univ. Math. J., 38, 553-580.
5. Isakov, V. and Powell, J. (1990) On the inverse conductivity problem with one measurement, Inverse Problems, 6, 311-388.
6. Isakov, V. (1998) Inverse Problems for Partial Differential Equations, Springer-Verlag, Berlin.
7. Kang, H. and Seo, J. K. (1996) The layer potential technique for the inverse conductivity problem, Inverse Problems, 12, 267-278.
8. Kang, H., Seo, J. K. and Sheen, D. (1997) Numerical identification of discontinuous conductivity coefficients, Inverse Problems, 13, 113-123.
9. Kassab, A. J., Hsieh, C. K. and Pollard, J. (1997) Solution of the inverse geometric problem for the detection of subsurface-cavities by the IR-CAT method, In: Boundary Integral Formulations for Inverse Analysis (Eds. Ingham, D. B. and Wrobel, L. C.), Comput. Mech. Publ., Southampton, pp. 33-65.
10. Kohn, R. and Vogelius, M. (1984) Determining conductivity by boundary measurements, Comm. Pure Appl. Math., 37, 281-298.
11. Kohn, R. and Vogelius, M. (1985) Determining conductivity by boundary measurements, interior results, Comm. Pure Appl. Math., 38, 643-667.
12. Nachmann, A. (1995) Global uniqueness for a two dimensional boundary value problem, Ann. Math., 142, 71-96.
13. Seo, J. K. (1996) On the uniqueness in the inverse conductivity problem, J. Fourier Anal. Appl., 2, 227-235.
14. Sylvester, J. and Uhlmann, G. (1986) A uniqueness theorem for an inverse boundary problem in electrical prospection, Comm. Pure Appl. Math., 39, 92-112.
15. Sylvester, J. and Uhlmann, G. (1987) A global uniqueness theorem for an inverse boundary problem, Ann. Math., 125, 153-169.
16. Vauhkonen, M., Kaipio, J. P., Somersalo, E. and Karjalainen, P. A. (1997) Electric impedance tomography with basis constraints, Inverse Problems, 13, 523-530.