Determination of surface and interior cracks from electrostatic measurements using Schwarz-Christoffel transformations

International Journal of Engineering Science

Volumn 34, Issue 10, 1996, Pages 1165-1181

  Elcrat, Alan R ^a   Hu, Chenglie ^a,b  

^a WICHITA STATE UNIVERSITY   (United States)

^b FORT HAYS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0342712593     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7225(96)00011-0     Document Type: Article

References (19)

1. C. HU, User's Guide to DSCPACK. NIAR Report. The National Institute for Aviation Research, Wichita State University (1995).
2. G. ALESSANDRINI, Unique determination of multiple cracks by two measurements. Quaderni Matematici, Universita Di Trieste (1994).
3. G. ALESSANDRINI, Stable determination of a crack from boundary measurements. Preprint.
4. S. ANDRIEUX and A. BEN ABDA, Identification of planar cracks by over determined data: inversion formulae. Preprint (1994).
5. ème cycle, ENIT, Tunis (1993).
6. E. BERETTA and M. VOGELIUS. A uniqueness result concerning the identification of a collection of cracks from finitely many electrostatic boundary measurements. Preprint.
7. A. FRIEDMAN and M. VOGELIUS, Indiana U. Math. J. 38, 527 (1989).
8. V. ISAKOV, Inverse Source Problems. AMS, Providence, RI (1990).
9. F. SANTOSA and M. VOGELIUS, Int. J. Engng Sci. 29, 911 (1991).
10. A. R. ELCRAT, V. ISAKOV and O. NECULOIU, Inverse Problems 11, 343 (1995).
11. K. BRYAN and M. VOGELIUS, Ing. J, Engng Sci. 32, 579 (1994).
12. L. N. TEFETHEN, J. Appl. Math. Phys. (ZAMP) 35, 692 (1984).
13. H. D. DAEPPEN, Die Schwarz-Christoffel-Abbildung für zweifach zusämmenhangende Gabiete mit Anwendungen. PhD Dissertation. ETH, Zurich (1988).
14. P. HENRICI, Applied and Computational Complex Analysis, Vol. 3, John Wiley, New York (1986).
15. L. N. TREFETHEN, SIAM J. Sci. Stat. Comput. 1, 82 (1980).
16. J. J. MORE, B. S. GARBOW and K. E. HILLSTROM, User Guide for MINPACK-1. Argonne National Laboratory Report ANL-80-74 (1980).
17. M. J. D. POWELL, A Fortran subroutine for solving system of non-linear algebraic equations. Technical Report AERE-R. 5947, Harwell, UK (1968).
18. L. H. HOWELL, Applied and computation of conformal maps by modified Schwarz-Christoffel transformations. PhD Dissertation, MIT (1990).
19. A. R. ELCRAT and K. G. MILLER, Trans. AMS 347, 2669 (1995).