A uniqueness result concerning the identification of a collection of cracks from finitely many electrostatic boundary measurements
A uniqueness result concerning the identification of a collection of cracks from finitely many electrostatic boundary measurements
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关于从有限多个静电边界测量中识别裂纹集合的唯一性结果
DOI：
10.1137/0523051
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发表时间：
1992
影响因子：
2
通讯作者：
M. Vogelius
中科院分区：
文献类型：
--
作者：
K. Bryan;M. Vogelius
研究了平面区域内有限多个裂纹集合的识别问题。用于识别的数据包括由规定的电流通量引起的静电边界电势的测量。结果表明，由n个或更少的裂纹组成的集合由完全由电极对组成的对应于$n+1$特定电流通量的边界测量唯一识别。
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.