Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry

doi:10.1002/nme.642

IMECH-IR > 力学所知识产出(1956-2008)

	Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry
	Hon YC; Chen W; Chen, W (reprint author), Simula Res Lab, POB 134, NO-1325 Lysaker, Norway.
发表期刊	International Journal for Numerical Methods in Engineering
	2003
卷号	56 期号:13 页码:1931-1948
ISSN	0029-5981
摘要	The boundary knot method (BKM) of very recent origin is an inherently meshless, integration-free, boundary-type, radial basis function collocation technique for the numerical discretization of general partial differential equation systems. Unlike the method of fundamental solutions, the use of non-singular general solution in the BKM avoids the unnecessary requirement of constructing a controversial artificial boundary outside the physical domain. The purpose of this paper is to extend the BKM to solve 2D Helmholtz and convection-diffusion problems under rather complicated irregular geometry. The method is also first applied to 3D problems. Numerical experiments validate that the BKM can produce highly accurate solutions using a relatively small number of knots. For inhomogeneous cases, some inner knots are found necessary to guarantee accuracy and stability. The stability and convergence of the BKM are numerically illustrated and the completeness issue is also discussed.
学科领域	力学
DOI	10.1002/nme.642
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000181852700006
关键词[WOS]	RADIAL BASIS FUNCTIONS ; PARTIAL-DIFFERENTIAL EQUATIONS ; FUNDAMENTAL-SOLUTIONS ; DUAL RECIPROCITY ; APPROXIMATION ; FORMULATION ; MESHLESS ; HEAT
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
引用统计	被引频次：78[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/15897
专题	力学所知识产出(1956-2008)
通讯作者	Chen, W (reprint author), Simula Res Lab, POB 134, NO-1325 Lysaker, Norway.
推荐引用方式 GB/T 7714	Hon YC,Chen W,Chen, W . Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry[J]. International Journal for Numerical Methods in Engineering,2003,56,13,:1931-1948.
APA	Hon YC,Chen W,&Chen, W .(2003).Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry.International Journal for Numerical Methods in Engineering,56(13),1931-1948.
MLA	Hon YC,et al."Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry".International Journal for Numerical Methods in Engineering 56.13(2003):1931-1948.

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