TY - JOUR
T1 - Identification of source locations in two-dimensional heat equations
AU - Ling, Leevan
AU - Yamamoto, Masahiro
AU - Hon, Y. C.
AU - Takeuchi, Tomoya
PY - 2006/8/1
Y1 - 2006/8/1
N2 - In this paper, we show the uniqueness of the identification of unknown source locations in two-dimensional heat equations from scattered measurements. Based on the assumption that the unknown source function is a sum of some known functions, we prove that one measurement point is sufficient to identify the number of sources and three measurement points are sufficient to determine all unknown source locations. For verification, we propose a numerical reconstruction scheme for recovering the number of unknown sources and all source locations. © 2006 IOP Publishing Ltd.
AB - In this paper, we show the uniqueness of the identification of unknown source locations in two-dimensional heat equations from scattered measurements. Based on the assumption that the unknown source function is a sum of some known functions, we prove that one measurement point is sufficient to identify the number of sources and three measurement points are sufficient to determine all unknown source locations. For verification, we propose a numerical reconstruction scheme for recovering the number of unknown sources and all source locations. © 2006 IOP Publishing Ltd.
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U2 - 10.1088/0266-5611/22/4/011
DO - 10.1088/0266-5611/22/4/011
M3 - RGC 21 - Publication in refereed journal
SN - 0266-5611
VL - 22
SP - 1289
EP - 1305
JO - Inverse Problems
JF - Inverse Problems
IS - 4
M1 - 11
ER -