| Issue |
ESAIM: M2AN
Volume 51, Number 4, July-August 2017
|
|
|---|---|---|
| Page(s) | 1145 - 1171 | |
| DOI | https://doi.org/10.1051/m2an/2016054 | |
| Published online | 16 June 2017 | |
A generalized finite element method for linear thermoelasticity
Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, 412 96 Göteborg, Sweden.
Received: 18 April 2016
Revised: 25 July 2016
Accepted: 20 August 2016
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 H1-norm. The theoretical results are confirmed by numerical examples.
Mathematics Subject Classification: 65M60 / 65M15 / 74F05
Key words: Linear thermoelasticity / multiscale / generalized finite element / local orthogonal decomposition / a priori analysis
© EDP Sciences, SMAI 2017
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