A generalized finite element method for linear thermoelasticity
Numerical Analysis
2016-04-04 v1
Abstract
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 M{\aa}lqvist and Peterseim (Math. Comp., 83(290): 2583--2603, 2014). We prove convergence of optimal order, independent of the derivatives of the coefficients, in the spatial -norm. The theoretical results are confirmed by numerical examples.
Cite
@article{arxiv.1604.00262,
title = {A generalized finite element method for linear thermoelasticity},
author = {Axel Målqvist and Anna Persson},
journal= {arXiv preprint arXiv:1604.00262},
year = {2016}
}