The residual-driven iterative corrector scheme recently presented by the authors for linear problems has opened a pathway to achieve the best possible fine-mesh accuracy in the multiscale finite element method (MsFEM). In this article, we focus on a series of algorithmic and variational extensions...
A new multiscale finite element method for the two-dimensional (2D) transient Navier–Stokes equations is proposed in this paper. This new method is based on multiscale enrichment with the lowest equal-order finite element pair P1/P1. Under certain regularity assumptions, the optimal error ...
The method is designed to efficiently capture the large scale behavior of the solution without resolving all the small scale features. This is accomplished by constructing the multiscale finite element base functions that are adaptive to the local property of the differential operator. Our method is...
Fig.1 Themultiscalebasis i ,forε=1e-2and1e-6respectively 当问题式(1) 存在奇异摄动边界层时,在边界区域定义如下解析表达式的基函数 ω i ,如 857 应用基础与工程科学学报 Vol.17 ω 1 (x,y)= sinh σ 2 槡 ε h x ψ 1 (x ) sinh σ 2 槡 ε h x · sinh σ 2 槡 ε h y ψ...
网络多尺度有限单元法 网络释义 1. 多尺度有限单元法 尺度单元,multi-scale... ... ) element size 单元尺寸 )multi-scale finite element method多尺度有限单元法... www.dictall.com|基于 1 个网页 例句 释义: 全部,多尺度有限单元法
Multiscale Finite Element Methods多尺度有限元方法 Theory and Applications20090387094954Efendiev Y Hou T Y 下载积分: 900 内容提示: Surveys and Tutorials in theApplied Mathematical SciencesVolume 4EditorsS.S. Antman, J.E. Marsden, L. Sirovich 文档格式:PDF | 页数:241 | 浏览次数:7 | 上传日期:...
A new finite element heterogeneous multiscale method (FE-HMM) is proposed for the numerical solution of the wave equation over long times in a rapidly varying medium. Our new FE-HMM-L method captures not only the short-time behavior of the wave field, well described by classical homogenization...
In this paper, we propose a general approach called Generalized Multiscale Finite Element Method (GMsFEM) for performing multiscale simulations for problems without scale separation over a complex input space. As in multiscale finite element methods (MsFEMs), the main idea of the proposed approach...
A hierarchical multilevel finite element method (HMM) is developed for simulating mechanical behaviors of periodical composite structures. This method is established based on the idea of constructing shape function numerically which is proposed in the multiscale finite element method (MsFEM). In order...
1) Multiscale finite element method 多尺度有限元法 1. In order to solve the two-dimensional singularly perturbed reaction-diffusion boundary layers,a new multiscale finite element method is presented in this enriched study. 为求解二维的奇异摄动反应扩散边界层问题,研究了新的多尺度有限元法。 更多...