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arXiv · 1603.09523

A multiscale method for linear elasticity reducing Poisson locking

Patrick Henning·Anna Persson
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Abstract

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 M{\aa}lqvist and Peterseim (Math. Comp., 83(290): 2583--2603, 2014). Assuming only $L_\infty$-coefficients we prove linear convergence in the $H^1$-norm, also for materials with large Lam\'{e} parameter $\lambda$. The theoretical a priori error estimate is confirmed by numerical examples.

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Patrick Henning, Anna Persson. 2016-03-31. A multiscale method for linear elasticity reducing Poisson locking. https://doi.org/10.1016/j.cma.2016.06.034

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