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

页码：817 / 832

页数：16

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