Optimality of the Boundary Knot Method for Numerical Solutions of 2D Helmholtz-Type Equations

doi:10.1007/s11859-019-1402-x

Residential College	false
Status	即將出版Forthcoming
	Optimality of the Boundary Knot Method for Numerical Solutions of 2D Helmholtz-Type Equations
	Wang, Fuzhang 1; Zheng, Kehong 2; Li, Congcong 3; Zhang, Juan 1
	2019-08-01
Source Publication	Wuhan University Journal of Natural Sciences
ISSN	1007-1202
Volume	24 Issue:4 Pages:314-320
Abstract	The boundary knot method (BKM) is a boundary-type meshfree method. Only non-singular general solutions are used during the whole solution procedures. The effective condition number (ECN), which depends on the right-hand side vector of a linear system, is considered as an alternative criterion to the traditional condition number. In this paper, the effective condition number is used to help determine the position and distribution of the collocation points as well as the quasi-optimal collocation point numbers. During the solution process, we propose an NMN-search algorithm. Numerical examples show that the ECN is reliable to measure the feasibility of the BKM.
Keyword	boundary knot method effective condition number non-singular general solution O 242
DOI	10.1007/s11859-019-1402-x
URL	View the original
Language	英語English
Scopus ID	2-s2.0-85068738931
Fulltext Access	View Full-Text via DOI View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	University of Macau
Affiliation	1.School of Mathematical Sciences, Huaibei Normal University, Huaibei, Anhui, 235000, China 2.College of Water Conservancy and Ecological Engineering, Nanchang Institute of Technology, Nanchang, Jiangxi, 330099, China 3.Department of Mathematics, University of Macau, Taipa, Avenida da Universidade, Macao
Recommended Citation GB/T 7714	Wang, Fuzhang,Zheng, Kehong,Li, Congcong,et al. Optimality of the Boundary Knot Method for Numerical Solutions of 2D Helmholtz-Type Equations[J]. Wuhan University Journal of Natural Sciences, 2019, 24(4), 314-320.
APA	Wang, Fuzhang., Zheng, Kehong., Li, Congcong., & Zhang, Juan (2019). Optimality of the Boundary Knot Method for Numerical Solutions of 2D Helmholtz-Type Equations. Wuhan University Journal of Natural Sciences, 24(4), 314-320.
MLA	Wang, Fuzhang,et al."Optimality of the Boundary Knot Method for Numerical Solutions of 2D Helmholtz-Type Equations".Wuhan University Journal of Natural Sciences 24.4(2019):314-320.

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