An analysis of the discontinuous Galerkin method for wave propagation problems

被引:200
作者
Hu, FQ [1 ]
Hussaini, MY
Rasetarinera, P
机构
[1] Old Dominion Univ, Dept Math & Stat, Norfolk, VA 23529 USA
[2] Florida State Univ, Program Computat Sci & Engn, Tallahassee, FL 32306 USA
关键词
discontinuous Galerkin method; wave propagation; dissipation; dispersion and anisotropy errors;
D O I
10.1006/jcph.1999.6227
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The dispersion and dissipation properties of the discontinuous Galerkin method are investigated with a view to simulating wave propagation phenomena, These properties are analysed in the semi-discrete context of the one-dimensional scalar advection equation and the two-dimensional wave equation, discretized on triangular and quadrilateral elements. They are verified by the results from full numerical solutions of the simple scalar advection equation and the Euler equations. (C) 1999 Academic Press.
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页码:921 / 946
页数:26
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