间断伽辽金法
数学
应用数学
伽辽金法
理论(学习稳定性)
数学分析
有限元法
作者
Qingguo Hong,Jinchao Xu
出处
期刊:Journal of Computational Mathematics
[Global Science Press]
日期:2021-06-01
卷期号:39 (2): 283-310
被引量:4
标识
DOI:10.4208/jcm.2003-m2018-0223
摘要
In this paper, we provide a number of new estimates on the stability and convergence of both hybrid discontinuous Galerkin (HDG) and weak Galerkin (WG) methods. By using the standard Brezzi theory on mixed methods, we carefully define appropriate norms for the various discretization variables and then establish that the stability and error estimates hold uniformly with respect to stabilization and discretization parameters. As a result, by taking appropriate limit of the stabilization parameters, we show that the HDG method converges to a primal conforming method and the WG method converge to a mixed conforming method.
科研通智能强力驱动
Strongly Powered by AbleSci AI