Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry
文献类型：期刊论文
| 作者 | Hon YC; Chen W |
| 刊名 | International Journal for Numerical Methods in Engineering
 |
| 出版日期 | 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 |
| 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. |
入库方式： OAI收割
来源：力学研究所
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