TY - JOUR
T1 - A discrepancy principle for the source points location in using the MFS for solving the BHCP
AU - Hon, Y. C.
AU - Li, M.
PY - 2009
Y1 - 2009
N2 - Based on the discrepancy principle, we develop in this paper a new method of choosing the location of source points to solve the backward heat conduction problem (BHCP) by using the method of fundamental solutions (MFS). The standard Tikhonov regularization technique with the L curve method for an optimal regularized parameter is adopted for solving the resultant highly ill-conditioned system of linear equations. Numerical verifications of the proposed computational method are presented for both the one-dimensional and the two-dimensional BHCP. © World Scientific Publishing Company.
AB - Based on the discrepancy principle, we develop in this paper a new method of choosing the location of source points to solve the backward heat conduction problem (BHCP) by using the method of fundamental solutions (MFS). The standard Tikhonov regularization technique with the L curve method for an optimal regularized parameter is adopted for solving the resultant highly ill-conditioned system of linear equations. Numerical verifications of the proposed computational method are presented for both the one-dimensional and the two-dimensional BHCP. © World Scientific Publishing Company.
KW - Backward heat conduction problem
KW - Method of fundamental solutions
UR - http://www.scopus.com/inward/record.url?scp=67549147156&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-67549147156&origin=recordpage
U2 - 10.1142/S0219876209001759
DO - 10.1142/S0219876209001759
M3 - RGC 21 - Publication in refereed journal
SN - 0219-8762
VL - 6
SP - 181
EP - 197
JO - International Journal of Computational Methods
JF - International Journal of Computational Methods
IS - 2
ER -