A convergent time-space adaptive dG(s) finite element method for parabolic problems motivated by equal error distribution
Numerical Analysis
2016-10-24 v1
Abstract
We shall develop a fully discrete space-time adaptive method for linear parabolic problems based on new reliable and efficient a posteriori analysis for higher order dG(s) finite element discretisations. The adaptive strategy is motivated by the principle of equally distributing the a posteriori indicators in time and the convergence of the method is guaranteed by the uniform energy estimate from [KreuzerM\"ollerSchmidtSiebert:12] under minimal assumptions on the regularity of the data.
Cite
@article{arxiv.1610.06814,
title = {A convergent time-space adaptive dG(s) finite element method for parabolic problems motivated by equal error distribution},
author = {Fernando Gaspoz and Christian Kreuzer and Kunibert Siebert and Daniel Ziegler},
journal= {arXiv preprint arXiv:1610.06814},
year = {2016}
}
Comments
29 pages, 8 figures