Determining linear cracks by boundary measurements: Lipschitz stability

SIAM Journal on Mathematical Analysis

Volumn 27, Issue 2, 1996, Pages 361-375

  Alessandrini, Giovanni ^a   Beretta, Elena ^b   Vessella, Sergio ^c  

^a UNIVERSITY OF TRIESTE   (Italy)

^b CNR   (Italy)

^c UNIVERSITY OF FLORENCE   (Italy)

Author keywords

Crack; Inverse boundary value problem; Stability

Indexed keywords

EID: 0030530306     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141094265791     Document Type: Article

References (8)

1. G. ALESSANDRINI, Stable determination of a crack from boundary measurement, Proc. Roy. Soc. Edinburgh Sect. A, 123 (1993), pp. 497-516.
2. _, Stability for the crack determination problem, in Inverse Problems in Mathematical Physics, L. Päivärinta and E. Somersalo, eds., Springer-Verlag, Berlin, 1993, pp. 1-8.
3. K. BRYAN AND M. VOGELIUS, A computational algorithm to determine crack locations from electrostatic boundary measurements: The case of multiple cracks, Internat. J. Engrg. Sci., to appear.
4. A. DIAZ VALENZUELA, Unicitá e stabilitá per il problema inverso del crack perfettamente isolante, thesis, Universitá di Trieste, Trieste, Italy, 1993.
5. A. FRIEDMAN AND M. VOGELIUS, Determining cracks by boundary measurements, Indiana Math. J., 38 (1989), pp. 527-556.
6. V. LIEPA, F. SANTOSA, AND M. VOGELIUS, Crack determination from boundary measurements: Computational reconstruction from laboratory measurements, J. Nondestructive Evaluation, 53 (1993), pp. 163-176.
7. L. E. PAYNE, Improperly Posed Problems in Partial Differential Equations, Regional Conference Series in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, 1975.
8. F. SANTOSA AND M. VOGELIUS, A computational algorithm to determine cracks from electrostatic boundary measurements, Internat. J. Engrg. Sci., 29 (1991), pp. 917-937.