An issue on the surface integrals with face decomposition in the virtual element method and its improvement without the decomposition
文献类型：期刊论文
| 作者 | Ru M(茹敏)1,2 ; Xu GT(许广涛)1,2; Liu CQ(刘传奇)2
|
| 刊名 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| 出版日期 | 2024-08-01 |
| 卷号 | 428页码:19 |
| 关键词 | Virtual element method Surface integrals Element-partition Homogeneous integration scheme |
| ISSN号 | 0045-7825 |
| DOI | 10.1016/j.cma.2024.117107 |
| 通讯作者 | Liu, Chuanqi(chuanqil@imech.ac.cn) |
| 英文摘要 | The Virtual Element Method (VEM) is a promising approach developed in recent years. Within the energy-based framework of the VEM, we can directly compute the consistency and stabilization terms by automatically differentiating the separation of the energy functional. Surface integrals are involved in computing the consistency matrix, and we find that the results depend on the element-partitioning schemes for these integrals. Partitioning scheme that introduces facial centroids works well, but it can only be applied to star-convex polygons. Other partitioning schemes without introducing centroids cause significant errors since the integration weights are not computed from all nodes of the surface. In this paper, we provide a detailed derivation to illustrate these discrepancies. To overcome this challenge, we implement an integration scheme without element-partitioning, which converting the surface integrals into line integrals using a recursive procedure. We employ four examples to demonstrate the effectiveness of the proposed method for both convex and concave polyhedra. |
| 分类号 | 一类 |
| 资助项目 | Strategic Priority Research Program of Chinese Academy of Sciences (CAS)[XDB0620103] ; One Hundred Talents Program of CAS ; National Natural Science Foundation of China (NSFC)[12172368] |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:001263838500001 |
| 资助机构 | Strategic Priority Research Program of Chinese Academy of Sciences (CAS) ; One Hundred Talents Program of CAS ; National Natural Science Foundation of China (NSFC) |
| 其他责任者 | Liu, Chuanqi |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/95873]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Future Technol, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Ru M,Xu GT,Liu CQ. An issue on the surface integrals with face decomposition in the virtual element method and its improvement without the decomposition[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2024,428:19. |
| APA | 茹敏,许广涛,&刘传奇.(2024).An issue on the surface integrals with face decomposition in the virtual element method and its improvement without the decomposition.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,428,19. |
| MLA | 茹敏,et al."An issue on the surface integrals with face decomposition in the virtual element method and its improvement without the decomposition".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 428(2024):19. |
入库方式： OAI收割
来源：力学研究所
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