Title
Local discontinuous Galerkin methods for the generalized Zakharov system
Abstract
In this paper we develop a local discontinuous Galerkin (LDG) method for the generalized Zakharov system. Two energy conservations of the LDG scheme are proved for the generalized Zakharov system. Numerical experiments for the Zakharov system are presented to illustrate the accuracy and capability of the methods, including accuracy tests, plane waves, soliton-soliton collisions of the standard and generalized Zakharov system and a two-dimensional problem.
Year
DOI
Venue
2010
10.1016/j.jcp.2009.10.029
J. Comput. Physics
Keywords
Field
DocType
accuracy test,soliton-soliton collision,zakharov system,generalized zakharov system,35k55,local discontinuous galerkin methods,energy conservation,65m60,local discontinuous galerkin method,local discontinuous galerkin,numerical experiment,plane wave,two-dimensional problem,ldg scheme,plane waves
Discontinuous Galerkin method,Zakharov system,Plane wave,Mathematical analysis,Mathematics
Journal
Volume
Issue
ISSN
229
4
Journal of Computational Physics
Citations 
PageRank 
References 
7
0.68
7
Authors
3
Name
Order
Citations
PageRank
Yinhua Xia19710.49
Yan Xu219222.38
Chi-Wang Shu34053540.35