TY - JOUR
T1 - Location search techniques for a grounded conductor
AU - Kim, Sungwhan
AU - Kwon, Ohin
AU - Seo, Jin Keun
PY - 2002/4
Y1 - 2002/4
N2 - 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.
AB - 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.
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U2 - 10.1137/S003613990037090X
DO - 10.1137/S003613990037090X
M3 - Article
AN - SCOPUS:0036551790
VL - 62
SP - 1383
EP - 1393
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
SN - 0036-1399
IS - 4
ER -