Abstract | ||
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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 |
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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 Xia | 1 | 97 | 10.49 |
Yan Xu | 2 | 192 | 22.38 |
Chi-Wang Shu | 3 | 4053 | 540.35 |