Location search techniques for a grounded conductor

Sungwhan Kim, Ohin Kwon, Jin Keun Seo

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This paper deals with the inverse problem of inferring the position of an electrically grounded conductor D from a single measurement of electric field (Cauchy data) on the boundary of a smooth domain Ω ⊂ Rn, n = 2,3, that contains D̄. We present new simple and real time algorithms for locating D with a rigorous mathematical verification. These location search techniques use a special property of the surface charge density of the electrically grounded conductor. The computations in these location search methods are very simple, so that the location of a moving grounded conductor can be detected in a instant even in three dimensions.

Original languageEnglish
Pages (from-to)1383-1393
Number of pages11
JournalSIAM Journal on Applied Mathematics
Volume62
Issue number4
DOIs
Publication statusPublished - 2002 Apr

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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