Consistency results for the dual-wind discontinuous Galerkin method
Consistency results for the dual-wind discontinuous Galerkin method
复制标题
双风间断伽辽金法的一致性结果
DOI：
10.1016/j.cam.2023.115257
复制
发表时间：
2023
影响因子：
2.4
通讯作者：
Zhang, Yi
中科院分区：
文献类型：
--
作者：
Lewis, Tom;Rapp, Aaron;Zhang, Yi
本文进一步分析了双风间断伽辽金（DWDG）方法逼近泊松问题直接检查之间的关系和潜在的离散拉普拉斯算子。DWDG方法源自DG微分框架，该框架定义了离散微分算子来取代连续微分算子。我们建立了Δ的DWDG近似的先验误差估计。由于DWDG方法不满足Galerkin正交条件，我们还探讨了DWDG近似和Ritz投影之间的关系，定义为满足精确的Galerkin正交条件链接到DWDG方法。数值实验验证了理论结果。
This paper further analyzes the dual-wind discontinuous Galerkin (DWDG) method for approximating Poisson’s problem by directly examining the relationship between the Laplacian and the underlying discrete Laplacian. DWDG methods are derived from the DG differential calculus framework that defines discrete differential operators to replace continuous differential operators. We establish a priori error estimates for the DWDG approximation of Δ. Since the DWDG method does not satisfy a Galerkin orthogonality condition, we also explore the relationship between the DWDG approximation and the Ritz projection defined to satisfy an exact Galerkin orthogonality condition linked to the DWDG method. Numerical experiments are provided to validate the theoretical results.
不连续伽辽金导数算子及其在二阶椭圆问题和稳定性中的应用
影响因子：
2.9
作者：
W. Feng;T. Lewis;S. Wise
通讯作者：
S. Wise
影响因子：
1.3
作者：
T. Lewis;Aaron Rapp;Yi Zhang
通讯作者：
T. Lewis;Aaron Rapp;Yi Zhang
DOI：
10.1016/j.cam.2015.10.024
发表时间：
2016-06-01
影响因子：
2.4
作者：
Feng, Xiaobing;Lewis, Thomas;Neilan, Michael
通讯作者：
Neilan, Michael