A priori error analysis of the $hp$-mortar FEM for parabolic problems
Analysis of PDEs
2018-07-24 v1
Abstract
In this article we derive a priori error estimates for the -version of the mortar finite element method for parabolic initial-boundary value problems. Both semidiscrete and fully discrete methods are analysed in - and -norms. The superconvergence results for the solution of the semidiscrete problem are studied in an eqivalent negative norm, with an extra regularity assumption. Numerical experiments are conducted to validate the theoretical findings.
Keywords
Cite
@article{arxiv.1807.08188,
title = {A priori error analysis of the $hp$-mortar FEM for parabolic problems},
author = {Sanjib Kumar Acharya and Ajit Patel and Talal Rahman},
journal= {arXiv preprint arXiv:1807.08188},
year = {2018}
}