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A real time algorithm for the location search of discontinuous conductivities with one measurement
Author(s) -
Kwon Ohin,
Seo Jin Keun,
Yoon JeongRock
Publication year - 2002
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3009
Subject(s) - algorithm , mathematics , current (fluid) , inverse , simple (philosophy) , anomaly (physics) , voltage , search algorithm , inverse problem , simple algorithm , mathematical optimization , geometry , mathematical analysis , philosophy , physics , electrical engineering , epistemology , quantum mechanics , engineering , thermodynamics , condensed matter physics
We consider an inverse problem for finding the anomaly of discontinuous electrical conductivity by one current‐voltage observation. We develop a real time algorithm for determining the location of the anomaly. This new idea is based on the observation of the pattern of a simple weighted combination of the input current and the output voltage. Combined with the size estimation result, this algorithm gives a good initial guess for Newton‐type schemes. We give the rigorous proof for the location search algorithm. Both the mathematical analysis and its numerical implementation indicate our location search algorithm is very fast, stable and efficient. © 2001 John Wiley & Sons, Inc.