Exact imposition of essential boundary condition and material interface continuity in Galerkin-based meshless methods
文献类型：期刊论文
| 作者 | Li, Wei2; Zheng, Hong1; Du, Xiuli1 |
| 刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
 |
| 出版日期 | 2017 |
| 卷号 | 110期号:7页码:637-660 |
| 关键词 | meshless methods Galerkin variational procedure partition of unity numerical manifold method moving least squares interpolations |
| ISSN号 | 0029-5981 |
| DOI | 10.1002/nme.5370 |
| 英文摘要 | Represented by the element free Galerkin method, the meshless methods based on the Galerkin variational procedure have made great progress in both research and application. Nevertheless, their shape functions free of the Kronecker delta property present great troubles in enforcing the essential boundary condition and the material continuity condition. The procedures based on the relaxed variational formulations, such as the Lagrange multiplier-based methods and the penalty method, strongly depend on the problem in study, the interpolation scheme, or the artificial parameters. Some techniques for this issue developed for a particular method are hard to extend to other meshless methods. Under the framework of partition of unity and strict Galerkin variational formulation, this study, taking Poisson's boundary value problem for instance, proposes a unified way to treat exactly both the material interface and the nonhomogeneous essential boundary as in the finite element analysis, which is fit for any partition of unity-based meshless methods. The solution of several typical examples suggests that compared with the Lagrange multiplier method and the penalty method, the proposed method can be always used safely to yield satisfactory results. Copyright (C) 2016 John Wiley & Sons, Ltd. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000399703000003 |
| 出版者 | WILEY |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/4062]  |
| 专题 | 岩土力学所知识全产出_期刊论文 国家重点实验室知识产出_期刊论文 |
| 作者单位 | 1.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn ; 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn |
| 推荐引用方式 GB/T 7714 | Li, Wei,Zheng, Hong,Du, Xiuli. Exact imposition of essential boundary condition and material interface continuity in Galerkin-based meshless methods[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2017,110(7):637-660. |
| APA | Li, Wei,Zheng, Hong,&Du, Xiuli.(2017).Exact imposition of essential boundary condition and material interface continuity in Galerkin-based meshless methods.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,110(7),637-660. |
| MLA | Li, Wei,et al."Exact imposition of essential boundary condition and material interface continuity in Galerkin-based meshless methods".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 110.7(2017):637-660. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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