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A multiscale method for linear elasticity reducing Poisson locking
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.ORCID iD: 0000-0002-6432-5504
2016 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 310, 156-171 p.Article in journal (Refereed) Published
Abstract [en]

We propose a generalized finite element method for linear elasticity equations with highly varying and oscillating coefficients. The method is formulated in the framework of localized orthogonal decomposition techniques introduced by Målqvist and Peterseim (2014). Assuming only L∞-coefficients we prove linear convergence in the H1-norm, also for materials with large Lamé parameter λ. The theoretical a priori error estimate is confirmed by numerical examples.

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 310, 156-171 p.
Keyword [en]
Generalized finite element, Linear elasticity, LOD, Multiscale, Poisson locking, Elasticity, Locks (fasteners), Generalized finite element methods, Generalized finite elements, Linear elasticity equations, Orthogonal decomposition techniques, Priori error estimate, Finite element method
National Category
URN: urn:nbn:se:kth:diva-195298DOI: 10.1016/j.cma.2016.06.034ISI: 000384859400008ScopusID: 2-s2.0-84979601507OAI: diva2:1045809

QC 20161110

Available from: 2016-11-10 Created: 2016-11-02 Last updated: 2016-11-11Bibliographically approved

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Henning, Patrick
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Numerical Analysis, NA
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