Numerical identification of discontinuous conductivity coefficients

Inverse Problems

Volumn 13, Issue 1, 1997, Pages 113-123

  Kang, Hyeonbae ^a   Seo, Jin Keun ^b   Sheen, Dongwoo ^c  

^a Korea University   (South Korea)

^b Yonsei University   (South Korea)

^c Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001495158     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/1/009     Document Type: Article

References (18)

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3. Sellout H, Friedman A and Isakov V 1992 Inverse problem in potential theory Trans. AMS 332 271-96
4. Bryan K. 1991 Numerical recovery of certain discontinuous electrical conductivities Inverse Problems 1 827-40
5. 2 pour courbes lipschitziennes Ann. Math. 116 361-87
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8. Folland G B 1976 Introduction to Partial Differential Equations (Princeton, NJ: Princeton University Press)
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11. Isakov V and Powell J 1990 On the inverse conductivity problem with one measurement Inverse Problems 6311-18
12. Kang H and Seo J K 1996 Layer potential technique for the inverse conductivity problem Inverse Problems 12 267-78
13. Kang H, Seo J K and Sheen D The inverse conductivity problem with one measurement: stability and estimation of size SIAM J. Math. Anal. at press
14. Kress R 1989 Linear Integral Equations (New York: Springer)
15. Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes in FORTRAN, The Art of Scientific Computing 2nd edn (Cambridge: Cambridge University Press)
16. Seo J K 1996 A uniqueness result on inverse conductivity problem with two measurements J. Fourier Anal. Applic. 2
17. Sylvester J and Uhlmann G 1987 A global uniqueness theorem for an inverse boundary value problem Ann. Math. 125 153-69
18. Verchota G C 1984 Layer potentials and boundary value problems for Laplace's equations in Lipschitz domains J. Fund. Anal. 59 572-611