Year: 2019
Author: Xiuli Wang, Qilong Zhai, Xiaoshen Wang
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 2 : pp. 360–380
Abstract
In this paper, we propose a weak Galerkin finite element method (WG) for solving the stationary incompressible Stokes equation in two or three dimensional space. The weak Galerkin finite element method is highly flexible by allowing the use of discontinuous functions on arbitrary polygons or polyhedra with certain shape regularity. However, since additional variables are introduced, the computational cost is much higher. Our new method can significantly reduce the computational cost while maintaining the accuracy. Optimal error orders are established for the weak Galerkin finite element approximations in various norms. Some numerical results are presented to demonstrate the efficiency of the method.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2018-0115
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 2 : pp. 360–380
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Incompressible Stokes equation weak Galerkin finite element method discrete weak gradient Schur complement.