## Abstract

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 an estimation of size, this algorithm gives a good initial guess for Newton-type schemes. We give a 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.

Original language | English |
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Pages (from-to) | 1-29 |

Number of pages | 29 |

Journal | Communications on Pure and Applied Mathematics |

Volume | 55 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2002 Jan |

## All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics