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Effective Condition Number for Boundary Knot Method

F.Z. Wang1, L. Ling2, W. Chen1,3

Center for Numerical Simulation Software in Engineering and Sciences, Department of Engineer-ing Mechanics, Hohai University, No.1 XiKang Road, Nanjing, Jiangsu 210098, China
Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China. Email: lling@hkbu.edu.hk

3 Corresponding to: email

Computers, Materials & Continua 2009, 12(1), 57-70. https://doi.org/10.3970/cmc.2009.012.057

Abstract

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.

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Cite This Article

APA Style
Wang, F., Ling, L., Chen, W. (2009). Effective condition number for boundary knot method. Computers, Materials & Continua, 12(1), 57-70. https://doi.org/10.3970/cmc.2009.012.057
Vancouver Style
Wang F, Ling L, Chen W. Effective condition number for boundary knot method. Comput Mater Contin. 2009;12(1):57-70 https://doi.org/10.3970/cmc.2009.012.057
IEEE Style
F. Wang, L. Ling, and W. Chen "Effective Condition Number for Boundary Knot Method," Comput. Mater. Contin., vol. 12, no. 1, pp. 57-70. 2009. https://doi.org/10.3970/cmc.2009.012.057



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