Year: 2020
Author: Xiu Ye, Shangyou Zhang
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 1 : pp. 110–117
Abstract
A new finite element method with discontinuous approximation is introduced for solving second order elliptic problem. Since this method combines the features of both conforming finite element method and discontinuous Galerkin (DG) method, we call it conforming DG method. While using DG finite element space, this conforming DG method maintains the features of the conforming finite element method such as simple formulation and strong enforcement of boundary condition. Therefore, this finite element method has the flexibility of using discontinuous approximation and simplicity in formulation of the conforming finite element method. Error estimates of optimal order are established for the corresponding discontinuous finite element approximation in both a discrete $H$1 norm and the $L$2 norm. Numerical results are presented to confirm the theory.
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/2020-IJNAM-13643
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 1 : pp. 110–117
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Weak Galerkin discontinuous Galerkin finite element methods second order elliptic problem.