Geodesic
A generalized finite element method for linear thermoelasticity
Målqvist, Axel1  ; Persson, Anna1
1 Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, 412 96 Göteborg, Sweden.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 4, pp. 1145-1171

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We propose and analyze a generalized finite element method designed for linear quasistatic thermoelastic systems with spatial multiscale coefficients. The method is based on the local orthogonal decomposition technique introduced by Målqvist and Peterseim (Math. Comp. 83 (2014) 2583–2603). We prove convergence of optimal order, independent of the derivatives of the coefficients, in the spatial H 1 -norm. The theoretical results are confirmed by numerical examples.

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Accepté le :
DOI : 10.1051/m2an/2016054
Classification : 65M60, 65M15, 74F05
Keywords: Linear thermoelasticity, multiscale, generalized finite element, local orthogonal decomposition, a priori analysis

Målqvist, Axel 1 ; Persson, Anna 1

1 Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, 412 96 Göteborg, Sweden. 
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Målqvist, Axel; Persson, Anna. A generalized finite element method for linear thermoelasticity. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 4, pp. 1145-1171. doi: 10.1051/m2an/2016054

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