A two-level algorithm for the weak Galerkin discretization of diffusion problems
Numerical Analysis
2014-11-27 v3
Abstract
This paper analyzes a two-level algorithm for the weak Galerkin (WG) finite element methods based on local Raviart-Thomas (RT) and Brezzi-Douglas-Marini (BDM) mixed elements for two- and three-dimensional diffusion problems with Dirichlet condition. We first show the condition numbers of the stiffness matrices arising from the WG methods are of . We use an extended version of the Xu-Zikatanov (XZ) identity to derive the convergence of the algorithm without any regularity assumption. Finally we provide some numerical results.
Cite
@article{arxiv.1405.7506,
title = {A two-level algorithm for the weak Galerkin discretization of diffusion problems},
author = {Binjie Li and Xiaoping Xie},
journal= {arXiv preprint arXiv:1405.7506},
year = {2014}
}