.png){kind=icon}
返回
A stable node-based smoothed finite element method for acoustic problems
.png){kind=icon}
PRE
AI
DOI：10.1016/j.cma.2015.09.005.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
It is well-known that the classical overly-soft node-based smoothed finite element method (NS-FEM) fails to provide reliable results to the Helmholtz equation due to the temporal instability. To cure the fatal drawback of NS-FEM and reduce the dispersion error in computational acoustics, this paper proposed a stable node-based smoothed finite element method (SNS-FEM) for analyzing acoustic problems using linear triangular (for 2D space) and tetrahedral (for 3D space) elements that can be generated automatically for any complicated configurations. In the present formulation, the system stiffness matrix is computed using the smoothed acoustic pressure gradients together with the gradient variance items over the smoothing domains associated with nodes of element mesh. It turns out the addition of stabilization term makes the SNS-FEM possess an ideal stiffness, thus successfully cures the temporal instability and significantly reduces the dispersion error in acoustic problems. Numerical examples, including both benchmark cases and practical engineering problems, demonstrate that the SNS-FEM possesses the following important properties: (1) temporal stability; (2) super accuracy and super convergence; (3) higher computational efficiency; (4) insensitive to mesh distortion. (C) 2015 Elsevier B.V. All rights reserved.
Keyword:
Acoustic
Numerical methods
Node-based smoothed finite element method (NS-FEM)
Temporal stability
Discretization error
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
Development of an Instrument for Evaluating Nurses' Knowledge and Attitude Toward End-of-Life Care
PREAI
分享收藏Numerical treatment of acoustic problems with the smoothed finite element method用光滑有限元法数值处理声学问题.png)
APPLIED ACOUSTICS
APPLIED ACOUSTICSIF3.6
PREAI
分享收藏分享收藏Higher order finite and infinite elements for the solution of Helmholtz problemsHelmholtz问题解的高阶有限元和无限元
PREAI
分享收藏
查看更多内容