Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry
Hon YC; Chen W
刊名International Journal for Numerical Methods in Engineering
2003
卷号56期号:13页码:1931-1948
ISSN号0029-5981
通讯作者Chen, W (reprint author), Simula Res Lab, POB 134, NO-1325 Lysaker, Norway.
中文摘要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.
学科主题力学
类目[WOS]Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
研究领域[WOS]Engineering ; Mathematics
关键词[WOS]RADIAL BASIS FUNCTIONS ; PARTIAL-DIFFERENTIAL EQUATIONS ; FUNDAMENTAL-SOLUTIONS ; DUAL RECIPROCITY ; APPROXIMATION ; FORMULATION ; MESHLESS ; HEAT
收录类别SCI ; EI
语种英语
WOS记录号WOS:000181852700006
公开日期2007-06-15 ; 2007-12-05 ; 2009-06-23
内容类型期刊论文
源URL[http://dspace.imech.ac.cn/handle/311007/15897]  
专题力学研究所_力学所知识产出(1956-2008)
推荐引用方式
GB/T 7714
Hon YC,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.(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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