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.
引用
收藏
页码:950 / 958
页数:9
相关论文
共 2 条
[1]   DETERMINING CRACKS BY BOUNDARY MEASUREMENTS [J].
FRIEDMAN, A ;
VOGELIUS, M .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (03) :527-556
[2]   A COMPUTATIONAL ALGORITHM TO DETERMINE CRACKS FROM ELECTROSTATIC BOUNDARY MEASUREMENTS [J].
SANTOSA, F ;
VOGELIUS, M .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1991, 29 (08) :917-937