A local integral-generalized finite difference method with mesh-meshless duality and its application
文献类型：期刊论文
| 作者 | Bai, Bing; Ci, Huiling; Lei, Hongwu; Cui, Yinxiang |
| 刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
 |
| 出版日期 | 2022-06-01 |
| 卷号 | 139页码:14 |
| 关键词 | Mesh-meshless duality Numerical method Integral-generalized finite difference (IGFD) Generalized finite difference (GFD) Partial differential equation (PDE) |
| ISSN号 | 0955-7997 |
| 英文摘要 | New numerical methods are keeping to emerge due to increasing needs in science and engineering. In this context, a novel mesh-meshless duality principle is proposed to build new numerical algorithms in this paper. The basic principle is that the approximations of unknown functions and their derivatives and the discretization scheme, could use mesh- or meshless- techniques distinctly, which results in the simultaneous use of the mesh and the meshless aspects of the same nodes while not bringing more difficulties in processing grid topology. The proposed local integral-generalized finite difference (IGFD) method is a specific implementation of this principle. For IGFD method, the approximations of unknown functions and their derivatives are realized by combining Taylor series expansion on local scatter nodes and least square method. The discretization of partial differential equations (PDEs) is based on the local weak form on the boundaries of local domain, which ensures the local conservation. The proposed method inherits the high accuracy of GFD method, and it is easier to deal with various boundary conditions. Some numerical examples show that this novel method demonstrates sound accuracy and is suitable for solving many PDE problems. It has sufficient potential for further development in solving more complex issues. |
| 学科主题 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000815089400002 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/34731]  |
| 专题 | 中科院武汉岩土力学所 |
| 作者单位 | 1.Chinese Academy of Sciences; Wuhan Institute of Rock & Soil Mechanics, CAS 2.Chinese Academy of Sciences; Wuhan Institute of Rock & Soil Mechanics, CAS; 3.Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; |
| 推荐引用方式 GB/T 7714 | Bai, Bing,Ci, Huiling,Lei, Hongwu,et al. A local integral-generalized finite difference method with mesh-meshless duality and its application[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2022,139:14. |
| APA | Bai, Bing,Ci, Huiling,Lei, Hongwu,&Cui, Yinxiang.(2022).A local integral-generalized finite difference method with mesh-meshless duality and its application.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,139,14. |
| MLA | Bai, Bing,et al."A local integral-generalized finite difference method with mesh-meshless duality and its application".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 139(2022):14. |
入库方式： OAI收割
来源：武汉岩土力学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。