A modified weak Galerkin method for $\boldsymbol{H}(\mathrm{curl})$-elliptic problem

Autor:	Tang, Ming, Zhong, Liuqiang, Xie, Yingying
Rok vydání:	2022
Předmět:	Mathematics - Numerical Analysis 65N30 65F10 65N55 G.1.8
Druh dokumentu:	Working Paper
Popis:	In this paper, we design and analysis a modified weak Galerkin (MWG) finite element method for $\boldsymbol{H}(\mathrm{curl})-$elliptic problem. We first introduce a new discrete weak curl operator and the MWG finite element space. The modified weak Galerkin method does not require the penalty parameter by comparing with traditional DG methods. We prove optimal error estimates in energy norm. At last, we provide the numerical results to confirm these theoretical results. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.01568 Zobrazit plný text záznamu View this record from Arxiv