The boundary inverse problem for the Laplace equation in two dimensions

Inverse Problems

Volumn 12, Issue 5, 1996, Pages 565-577

  Aparicio, N D ^a   Pidcock, M K ^a  

^a OXFORD BROOKES UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001965230     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/12/5/003     Document Type: Article

References (13)

1. Shlapunov A A 1993 The Cauchy problem for Laplace's equation Siberian Math. J. 33 534-42
2. Aleksandrov A, Bourgain J, Giesecke M, Havin V and Vymenets Y 1995 Uniqueness and free interpolation for logarithmic potentials and the Cauchy-problem for the Laplace equation in R(2) Geom. Funct. Anal. 5 529-71
3. McIver M 1989 Characterization of surface-breaking cracks in metal sheets by using AC electric fields Proc. R. Soc. A. 421 179-94
4. McIver M 1991 An inverse problem in electromagnetic crack detection IMA J. Appl. Math. 47 127-45
5. Friedman A and Vogelius M 1989 Determining cracks by boundary measurements Indiana Math. J. 38 527-56
6. Bryan K and Vogelius M 1992 A uniqueness result concenning the identification of a collection of cracks from finitely many electrostatic boundary measurements SIAM J. Math. Anal. 23 950-8
7. Bryan K and Vogelius M 1994 A computational algorithm to determine crack locations from electrostatic boundary measurements - the case of multiple cracks Int. J. Engng Sci. 32 579-603
8. Alessandrini G, Beretta E, Santosa F and Vessella S 1995 Stability in crack determination from electrostatic measurements at the boundary - a numerical investigation Inverse Problems 11 L17-24
9. Atkinson C and Aparicio N D 1994 An inverse problem method for crack detection in elastic materials under anti-plane strain Proc. R. Soc. A 445 637-52
10. Nishimura N and Kobayashi S 1991 A boundary integral-equation method for an inverse problem related to crack detection Int. J. Numer. Meth. Engng 32 1371-87
11. Bryan K and Caudill L F 1994 An inverse problem in thermal imaging Institute for Computer Applications in Science and Engineering Report Report No 94-99, NASA Langley Research Center
12. Bleistem N and Handelsman R A 1986 Asymptotic Expansions of Integrals (New York: Dover)
13. Delves L M and Mohamed J L 1985 Computational Methods for Integral Equations (Cambridge: Cambridge University Press)