Identification of cracks in three-dimensional bodies by many boundary measurements

Inverse Problems

Volumn 12, Issue 4, 1996, Pages 395-408

  Eller, Matthias ^a  

^a WICHITA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10444237401     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/12/4/004     Document Type: Article

References (13)

1. Alessandrini G and Diaz-Valenzuela A 1996 Unique determination of multiple cracks by two measurements SIAM J. Control Optim. 34 913-21
2. Colton D and Kress R 1992 Inverse Acoustic and Electromagnetic Scattering Theory (Berlin: Springer)
3. Friedman A and Vogelius M 1989 Determining cracks by boundary measurements Ind. Univ. Math. J. 38 527-56
4. Gilbarg D and Trudinger N Elliptic differential Equations of Second Order (Berlin: Springer)
5. Grisvard P 1985 Elliptic Problems in Nonsmooth Domains (Boston, MA: Pitman)
6. Hörmander L 1983 The Analysis of Linear Partial Differential Operators (Berlin: Springer)
7. Isakov V 1990 On uniqueness in the inverse transmission scattering problem Commun. Part. Diff. Eq. 15 1565-87
8. Kim H and Seo J Unique determination of a collection of a finite number of cracks from two boundary measurements Preprint
9. Morrey C B 1966 Multiple Integrals in the Calculus of Variations (Berlin: Springer)
10. Nečas J 1967 Les Méthodes Directes en Théorie des équations elliptiques (Prague: Academia)
11. Renardy M and Rogers R C 1992 An Introduction to Partial Differential equations (Berlin: Springer)
12. Santosa F and Vogelius M 1991 A computational algorithm to determine cracks from electrostatic boundary measurements Int. J. Eng. Sci. 29 911-37
13. Stein E 1970 Singular Integrals and Differentiability Properties of Functions (Princeton, NJ: Princeton University Press)