Identification of cracks by boundary measurements at low frequencies

Inverse Problems

Volumn 16, Issue 1, 2000, Pages 133-143

  Ammari, Habib ^a   Bao, Gang ^b  

^a CENTRE DE MATHÉMATIQUES APPLIQUÉES   (France)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010321459     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/16/1/311     Document Type: Article

References (14)

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2. Alessandrini G and DiBenedetto E 1997 Determining 2-dimensional cracks in 3-dimensional bodies: uniqueness and stability Indiana Univ. Math. J. 46 1-82
3. Alessandrini G and Valenzuela A D 1986 Unique determination of multiple cracks by two-dimensional measurements SIAM J. Control. Optim. 34 913-21
4. Ammari H and Bao G 1999 An inverse source problem for Maxwell's equations in magnetoencephalography Preprint
5. Birman M and Solomyak M Z 1993 Principal singularities of the electric component of an electromagnetic field in regions with screens Algebr. Anal. 5 143-59
6. Bryan K and Vogelius M 1992 A uniqueness result concerning the identification of a collection of cracks from finitely many electrostatic boundary measurements SIAM J. Math. Anal. 23 950-8
7. Colton D and Kress R 1990 Time harmonic electromagnetic waves in an inhomogeneous medium Proc. R. Soc. Edin. A 116 279-93
8. Elcrat A, Isakov V and Necoloiu O 1995 On finding a surface crack from boundary measurements Inverse Problems 11 343-51
9. Friedman A and Vogelius M 1989 Determining cracks by boundary measurements Indiana Univ. Math. J. 38 527-56
10. Harfield N, Yoshida Y and Bowler J R 1997 Low-frequency perturbation theory in eddy-current non destructive evaluation J. Appl. Phys. 80 4090-100
11. He S and Romanov V G 1999 Some explicit formulae for the identification of cracks in conductors using the boundary measurements of DC fields J. Appl. Phys. 85 6822-7
12. Isakov V 1998 Inverse Problems for Partial Differential Equations (Applied Mathematical Sciences 127) (Berlin: Springer)
13. Santosa F and Vogelius M 1991 A computational algorithm to determine cracks electrostatic boundary measurements Int. J. Eng. Sci. 29 917-37
14. Sylvester J and Uhlmann G 1987 A global uniqueness theorem for an inverse boundary value problem Ann. Math. 125 153-69