论文标题
稳定剂的稳定弱彩色彩色有限元方法在多面眼网上：第三部分
A stabilizer free weak Galerkin finite element method on polytopal mesh: Part III
论文作者
论文摘要
在[J.计算。应用。 Math。，371（2020）。 Arxiv：1906.06634]在多面眼网上。然后在[Arxiv：2008.13631]中改进了它，并以一个SuperConvergence顺序进行了改进。本文的目的是在多面眼网上开发一种新的无稳定器WG方法。该方法的收敛率高两个阶，高于能量规范和$ l^2 $ norm的相应WG解决方案的最佳收敛速率。在两个维度和三维空间中测试了数值示例的低和高阶元素。
A weak Galerkin (WG) finite element method without stabilizers was introduced in [J. Comput. Appl. Math., 371 (2020). arXiv:1906.06634] on polytopal mesh. Then it was improved in [arXiv:2008.13631] with order one superconvergence. The goal of this paper is to develop a new stabilizer free WG method on polytopal mesh. This method has convergence rates two orders higher than the optimal convergence rates for the corresponding WG solution in both an energy norm and the $L^2$ norm. The numerical examples are tested for low and high order elements in two and three dimensional spaces.
