A modified weak Galerkin finite element method

In this paper we introduce a new discrete weak gradient operator and a new weak Galerkin (WG) finite element method for second order Poisson equations based on this new operator. This newly defined discrete weak gradient operator allows us to use a single stabilizer which is similar to the one used...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational and applied mathematics 2014-12, Vol.271, p.319-327
Main Authors: Wang, X., Malluwawadu, N.S., Gao, F., McMillan, T.C.
Format: Article
Language:English
Subjects:
Finite element
Weak Galerkin
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we introduce a new discrete weak gradient operator and a new weak Galerkin (WG) finite element method for second order Poisson equations based on this new operator. This newly defined discrete weak gradient operator allows us to use a single stabilizer which is similar to the one used in the discontinuous Galerkin (DG) methods without having to worry about choosing a sufficiently large parameter. In addition, we will establish the optimal convergence rates and validate the results with numerical examples.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2014.04.014