A generalized finite element method for linear thermoelasticity
Axel Målqvist, Anna Persson · ESAIM Mathematical Modelling and Numerical Analysis · 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.