论文标题
$ \ boldsymbol {h}（\ mathrm {curl}）$的修改后的弱Galerkin方法
A modified weak Galerkin method for $\boldsymbol{H}(\mathrm{curl})$-elliptic problem
论文作者
论文摘要
在本文中，我们设计和分析了$ \ boldsymbol {h}（\ mathrm {curl}）的修改后的弱Galerkin（MWG）有限元方法 - $椭圆问题。我们首先引入了一个新的离散弱弯曲操作员和MWG有限元空间。修改的弱彩手方法不需要与传统的DG方法进行比较。我们证明了能量规范中的最佳误差估计。最后，我们提供了数值结果来确认这些理论结果。
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.
