A Generalized Finite Element Method for Linear Thermoelasticity
Journal article, 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.

multiscale

local orthogonal decomposition

Linear thermoelasticity

a priori analysis

generalized finite element

Author

Axel Målqvist

University of Gothenburg

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Anna Persson

University of Gothenburg

Chalmers, Mathematical Sciences

Mathematical Modelling and Numerical Analysis

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

Vol. 51 4 1145-1171

Subject Categories

Mathematics

DOI

10.1051/m2an/2016054

More information

Latest update

6/11/2018