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A UNIQUENESS RESULT CONCERNING THE IDENTIFICATION OF A COLLECTION OF CRACKS FROM FINITELY MANY ELECTROSTATIC BOUNDARY MEASUREMENTS
被引:40
作者:
BRYAN, K
[1
]
VOGELIUS, M
[1
]
机构:
[1] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
关键词:
CRACKS;
NONDESTRUCTIVE TESTING;
ELECTRICAL IMPEDANCE IMAGING;
D O I:
10.1137/0523051
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
The problem of identification of a collection of finitely many cracks inside a planar domain is considered. The data used for the identification consist of measurements of the electrostatic boundary potentials induced by prescribed current fluxes. It is shown that a collection of n or fewer cracks is uniquely identified by boundary measurements corresponding to n + 1 specific current fluxes, consisting entirely of electrode pairs.
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页码:950 / 958
页数:9
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