Multiscale algorithm with patches of finite elements

We develop a discretization and solution technique for elliptic problems whose solutions may present strong variations, singularities, boundary layers and oscillations in localized regions. We start with a coarse finite element discretization with a mesh size H, and we superpose to it local patches of finite elements with finer mesh size h << H to capture local behaviour of the solution. The two meshes (coarse and patch) are not necessarily compatible. Similar to mesh adaptation methods, the location of the fine patches is identified by an a posteriori error estimator. Unlike mesh adaptation, no remeshing is involved. We discuss the implementation and illustrate the method on an industrial example. Copyright (C) 2007 John Wiley & Sons, Ltd.


Published in:
Communications In Numerical Methods In Engineering, 24, 477-491
Presented at:
8th U.S. National Congress on Computational mechanics, Austin, TX, Jul 25-27, 2005
Year:
2008
ISSN:
1069-8299
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-03-17


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