.png){kind=icon}
返回
Stabilization-free serendipity virtual element method for plane elasticity
.png){kind=icon}
OA
AI
DOI：10.1016/j.cma.2022.115784.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
We present a higher order stabilization-free virtual element method applied to plane elasticity problems. We utilize a serendipity approach to reduce the total number of degrees of freedom from the corresponding high-order approximations. The well-posedness of the problem is numerically studied via an eigenanalysis. The method is then applied to several benchmark problems from linear elasticity and we show that the method delivers optimal convergence rates in L2 norm and energy seminorm that match theoretical estimates as well as the convergence rates from higher order virtual element methods. (c) 2022 Elsevier B.V. All rights reserved.
Keyword:
Virtual element method
Polygonal meshes
Stabilization-free hourglass control
Strain projection
Spurious modes
Serendipity elements
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
机构
引用论文
.png){kind=icon}
分享收藏Virtual Element Method for general second-order elliptic problems on polygonal meshes多边形网格上一般二阶椭圆问题的虚单元法
PREAI
分享收藏On the Virtual Element Method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes关于任意多面体网格上三维线性弹性问题的虚拟单元方法OAAI
OAAI分享收藏分享收藏
查看更多内容