Authors
Ahmed H Elsheikh, SE Chidiac, WS Smith
Publication date
2008/8/15
Journal
Computer Methods in Applied Mechanics and Engineering
Volume
197
Issue
45-48
Pages
3637-3656
Publisher
North-Holland
Description
This paper presents a numerical realization of the variational multiscale method with the objective of providing a reliable and easy to implement local error estimation technique. The variational multiscale framework provides a systematic approach for solution scale decomposition into coarse scales captured by the mesh and fine or subgrid scales. In the proposed work, the coarse scale errors in the finite element solution are neglected in comparison to the fine scale errors. The fine scale variational equation is then localized using a general localization function over an element, or a patch of elements, to develop a local error estimation technique. Based on the proposed framework, a consistent formulation of a new subdomain error estimator for elliptic problems is derived, without the necessity of introducing an error locality assumption. The new subdomain error estimator is evaluated numerically within a mesh …
Total citations
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Scholar articles
AH Elsheikh, SE Chidiac, WS Smith - Computer Methods in Applied Mechanics and …, 2008