@Article{CiCP-19-1435,
author = {Binjie Li, Xiaoping Xie and Shiquan Zhang},
title = {Analysis of a Two-Level Algorithm for HDG Methods for Diffusion Problems},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {5},
pages = {1435--1460},
abstract = {<p style="text-align: justify;">This paper analyzes an abstract two-level algorithm for hybridizable discontinuous
Galerkin (HDG) methods in a unified fashion. We use an extended version
of the Xu-Zikatanov (X-Z) identity to derive a sharp estimate of the convergence rate of
the algorithm, and show that the theoretical results also are applied to weak Galerkin
(WG) methods. The main features of our analysis are twofold: one is that we only need
the minimal regularity of the model problem; the other is that we do not require the
triangulations to be quasi-uniform. Numerical experiments are provided to confirm
the theoretical results.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.scpde14.38s},
url = {http://global-sci.org/intro/article_detail/cicp/11137.html}
}