TY - JOUR
T1 - Effective Condition Number for Boundary Knot Method
AU - Wang, F. Z.
AU - LING, Leevan
AU - Chen, W.
N1 - The work described in this paper was supported by a research project funded by the Colleges and Universities in Jiangsu Province plans to graduate research and innovation (Project No. CX09B–154Z) and the National Natural Science Foundation of China (Project No. 10672051). The second named author was supported by the CERG Grants of Hong Kong Research Grant Council and the FRG grants of Hong Kong Baptist University.
PY - 2009
Y1 - 2009
N2 - This study makes the first attempt to apply the effective condition number (ECN) to the stability analysis of the boundary knot method (BKM). We find that the ECN is a superior criterion over the traditional condition number. The main difference between ECN and the traditional condition numbers is in that the ECN takes into account the right hand side vector to estimates system stability. Numerical results show that the ECN is roughly inversely proportional to the numerical accuracy. Meanwhile, using the effective condition number as an indicator, one can fine-tune the user-defined parameters (without the knowledge of exact solution) to ensure high numerical accuracy from the BKM.
AB - This study makes the first attempt to apply the effective condition number (ECN) to the stability analysis of the boundary knot method (BKM). We find that the ECN is a superior criterion over the traditional condition number. The main difference between ECN and the traditional condition numbers is in that the ECN takes into account the right hand side vector to estimates system stability. Numerical results show that the ECN is roughly inversely proportional to the numerical accuracy. Meanwhile, using the effective condition number as an indicator, one can fine-tune the user-defined parameters (without the knowledge of exact solution) to ensure high numerical accuracy from the BKM.
KW - Boundary knot method
KW - Effective condition number
KW - Traditional condition number
UR - https://www.techscience.com/cmc/v12n1/22482
UR - http://www.scopus.com/inward/record.url?scp=77449086720&partnerID=8YFLogxK
U2 - 10.3970/cmc.2009.012.057
DO - 10.3970/cmc.2009.012.057
M3 - Journal article
AN - SCOPUS:77449086720
SN - 1546-2218
VL - 12
SP - 57
EP - 70
JO - Computers, Materials and Continua
JF - Computers, Materials and Continua
IS - 1
ER -