Inverse conductivity problem for inaccurate measurements

Inverse Problems

Volumn 12, Issue 6, 1996, Pages 869-883

  Cherkaeva, Elena ^a   Tripp, Alan C ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000369988     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/12/6/005     Document Type: Article

References (20)

1. Allers A and Santosa F 1991 Stability and resolution analysis of a linearized problem in electrical impedance tomography Inverse Problems 7 515-33
2. Beasley C W and Ward S H 1986 Three-dimensional mise-a-la-masse modeling applied to mapping fracture zones Geophysics 51 98-113
3. Bryan K and Vogelius M A computational algorithm for crack determination. The multiple crack case Preprint
4. Cherkaeva E and Tripp A C 1995 Optimal survey design using focused resistivity arrays IEEE Trans. Geosci. Remote Sens. 34 358-66
5. Cherkaeva E and Tripp A C 1995 On the resolution of geoelectric imaging SIAM J. Appl. Math. submitted
6. Connolly T J and Wall D J N 1988 On inverse problem, with boundary measurements, for the steady state diffusion equation Inverse Problems 4 995-1012
7. Dobson D C 1992 Estimates on resolution and stabilization for the linearized inverse conductivity problem Inverse Problems 8 71-81
8. Dobson D C and Santosa F 1994 Resolution and stability analysis of an inverse problem in electrical impedance imaging - dependence on the input current patterns. SIAM J. Appl. Math. 54 1542-60
9. Druskin V 1982 The unique solution of the inverse problem in electrical surveying and electrical well-logging for piecewise-continuous condutivity Izv., Earth Phys. 18 51-3
10. Gisser D G, Isaacson D and Newell J C 1990 Electric current computed tomography and eigenvalues SIAM J. Appl. Math 50 1623-4
11. Harrington R F 1968 Field Computation by Moment Methods (New York: Macmillan)
12. Hohmann G W 1975 Three-demensional induced-polarization and electromagnetic modeling Geophysics 40 309-24
13. Isaacson D 1986 Distinguishbility of conductivities by electric current computed tomography IEEE Trans. Med. Imag. MI-5 91-5
14. Jackson D D 1972 Interpretation of inaccurate, fficient and inconsistent data Geophys. J. R. Soc. 28 97-109
15. Kohn R V and Vogelius M 1984 Determining conductivity by boundary measurements Commun. Pure Appl. Math. 37 289-98
16. Narayan S, Dusseault M B and Nobes D C 1994 Inversion techniques applied to resistivity inverse problems Inverse Problems 10 669-86
17. Parker R L 1977 Understanding inverse theory Ann. Rev. Earth Planet. Sci. 5 35-64
18. Paulson K, Lionheart W and Pidcock M 1995 POMPUS: an optimized EIT reconstructoin algorithm Inverse Problems 11 425-37
19. Santosa F and Voglius M 1991 A computational algorithm to determine cracks from electrostatic boundary measurements Int. J. Engng Sci. 29 917-37
20. Sylvester J and Uhlmann G 1987 A global uniqueness theorem for an inverse boundary value problem Ann. Math. 125 153-69