A family of interior-penalized weak Galerkin methods for second-order elliptic equations

Interior-penalized weak Galerkin (IPWG) finite element methods are proposed and analyzed for solving second order elliptic equations. The new methods employ the element $(\mathbb{P}_{k},\mathbb{P}_{k}, \mathcal{RT}_{k})$, with dimensions of space $d=2,3$, and the optimal a priori error estimates in...

Full description

Bibliographic Details
Main Authors: Kaifang Liu, Lunji Song
Format: Article
Language:English
Published: AIMS Press 2021-10-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2021030/fulltext.html