.png){kind=icon}
返回
A virtual element method for the Steklov eigenvalue problem
.png){kind=icon}
PRE
AI
DOI：10.1142/S0218202515500372.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The aim of this paper is to develop a virtual element method for the two-dimensional Steklov eigenvalue problem. We propose a discretization by means of the virtual elements presented in [L. Beirao da Veiga et al., Basic principles of virtual element methods, Math. Models Methods Appl. Sci. 23 (2013) 199-214]. Under standard assumptions on the computational domain, we establish that the resulting scheme provides a correct approximation of the spectrum and prove optimal-order error estimates for the eigenfunctions and a double order for the eigenvalues. We also prove higher-order error estimates for the computation of the eigensolutions on the boundary, which in some Steklov problems (computing sloshing modes, for instance) provides the quantity of main interest (the free surface of the liquid). Finally, we report some numerical tests supporting the theoretical results.
Keyword:
Virtual element method
Steklov eigenvalue problem
error estimates
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:
3
论文数:
2.2K
被引数:
4.6K
机构
引用论文
Detection of Genetic Variation in Wild Populations of Three Allium Species using Amplified Fragment Length Polymorphisms (AFLP).png)
HortScience
OAAI
HortScienceIF0
OAAI分享收藏Effects of vortex line shape on critical current density in high T superconducting film with nano-rod pinning centers under applied magnetic field of various orientations外加磁场不同方向下，纳米棒钉扎中心对高温超导薄膜中临界电流密度的影响，及其与涡旋线形状的关系
PREAI
分享收藏
查看更多内容