Multiscale nonconforming finite element computation to small periodic composite materials of elastic structures on anisotropic meshes
type: Item
instance of: scholarly article
title: Multiscale nonconforming finite element computation to small periodic composite materials of elastic structures on anisotropic meshes
zbMATH Open document ID: 1400.74020
DOI: 10.1155/2016/7525392
author: Ying Hao
author: Shicang Song
author: Junfeng Guan
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: The small periodic elastic structures of composite materials with the multiscale asymptotic expansion and homogenized method are discussed. A nonconforming Crouzeix-Raviart finite element is applied to calculate every term of the asymptotic expansion on anisotropic meshes. The approximation scheme to the higher derivatives of the homogenized solution is also derived. Finally, the optimal error estimate in \(\| \cdot \|_h\) for displacement vector is obtained.
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6953546
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/7525392
OpenAlex ID: W2465293279
Wikidata QID: Q59141185
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description: scientific article; zbMATH DE number 6953546