A SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR FIRST ORDER HYPERBOLIC SYSTEMS

被引：0
作者：
Zhang, Tie [1 ,2 ]
Liu, Jingna [1 ,2 ]
机构：
[1] Northeastern Univ, Dept Math, Shenyang 110004, Peoples R China
[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110004, Peoples R China
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 04期
关键词：
discontinuous Galerkin method; first-order hyperbolic system; semi-explicit scheme; stability and error estimate; FINITE-ELEMENT METHODS; CONVERGENCE; EQUATIONS;
D O I：
10.4134/JKMS.2014.51.4.665
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a new space-time discontinuous Galerkin (DG) method for solving the time dependent, positive symmetric hyperbolic systems. The main feature of this DG method is that the discrete equations can be solved semi-explicitly, layer by layer, in time direction. For the partition made of triangle or rectangular meshes, we give the stability analysis of this DG method and derive the optimal error estimates in the DG-norm which is stronger than the L-2-norm. As' application, the wave equation is considered and some numerical experiments are provided to illustrate the validity of this DG method.
引用
收藏
页码：665 / 678
页数：14
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