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 language | English |
|---|---|
| Pages (from-to) | 1383-1393 |
| Number of pages | 11 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 62 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2002 Apr 1 |
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All Science Journal Classification (ASJC) codes
- Applied Mathematics
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Location search techniques for a grounded conductor. / Kim, Sungwhan; Kwon, Ohin; Seo, Jin Keun.
In: SIAM Journal on Applied Mathematics, Vol. 62, No. 4, 01.04.2002, p. 1383-1393.Research output: Contribution to journal › Article
TY - JOUR
T1 - Location search techniques for a grounded conductor
AU - Kim, Sungwhan
AU - Kwon, Ohin
AU - Seo, Jin Keun
PY - 2002/4/1
Y1 - 2002/4/1
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.
UR - http://www.scopus.com/inward/record.url?scp=0036551790&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036551790&partnerID=8YFLogxK
U2 - 10.1137/S003613990037090X
DO - 10.1137/S003613990037090X
M3 - Article
VL - 62
SP - 1383
EP - 1393
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
SN - 0036-1399
IS - 4
ER -