Finite Element Convergence for the Joule Heating Problem with Mixed Boundary Conditions
Numerical Analysis
2013-02-25 v1
Abstract
We prove strong convergence of conforming finite element approximations to the stationary Joule heating problem with mixed boundary conditions on Lipschitz domains in three spatial dimensions. We show optimal global regularity estimates on creased domains and prove a priori and a posteriori bounds for shape regular meshes.
Cite
@article{arxiv.1203.6306,
title = {Finite Element Convergence for the Joule Heating Problem with Mixed Boundary Conditions},
author = {Max Jensen and Axel Målqvist},
journal= {arXiv preprint arXiv:1203.6306},
year = {2013}
}
Comments
Keywords: Joule heating problem, thermistors, a posteriori error analysis, a priori error analysis, finite element method