A LOCAL DISCONTINUOUS GALERKIN METHOD BASED ON VARIATIONAL STRUCTURE

被引：1
|
作者：
Aimoto, Yoshifumi [1 ]
Matsuo, Takayasu [1 ]
Miyatake, Yuto [1 ]
机构：
[1] Univ Tokyo, Dept Math Informat, Bunkyo Ku, Tokyo 1130033, Japan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2015年 / 8卷 / 05期
基金：
日本学术振兴会;
关键词：
Discontinuous Galerkin method; variational structure; structure-preserving; conservative; dissipative; ENERGY-CONSERVATION; EQUATION; SCHEMES;
D O I：
10.3934/dcdss.2015.8.817
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a special variant of the local discontinuous Galerkin (LDG) method for time-dependent partial differential equations with certain variational structures and associated conservation or dissipation properties. The method provides a way to construct fully-discrete LDG schemes that retain discrete counterparts of the conservation or dissipation properties. Numerical results confirm the accuracy and effectiveness of the method.
引用
收藏
页码：817 / 832
页数：16
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