Discrete maximal parabolic regularity for Galerkin finite element methods
Numerical Analysis
2018-08-20 v2
Abstract
The main goal of the paper is to establish time semidiscrete and space-time fully discrete maximal parabolic regularity for the time discontinuous Galerkin solution of linear parabolic equations. Such estimates have many applications. They are essential, for example, for establishing optimal a priori error estimates in non- Hilbertian norms without unnatural coupling of spatial mesh sizes with time steps.
Cite
@article{arxiv.1505.04808,
title = {Discrete maximal parabolic regularity for Galerkin finite element methods},
author = {Dmitriy Leykekhman and Boris Vexler},
journal= {arXiv preprint arXiv:1505.04808},
year = {2018}
}