A Generalized Finite Element Method for Linear Thermoelasticity
Artikel i vetenskaplig tidskrift, 2017

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 Malqvist 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.

local orthogonal decomposition


generalized finite element

Linear thermoelasticity

a priori analysis


Axel Målqvist

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Göteborgs universitet

Anna Persson

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Mathematical Modelling and Numerical Analysis

0764-583X (ISSN) 1290-3841 (eISSN)

Vol. 51 1145-1171