Identifier: 2009-5
Author(s): Y. Xia, Y. Xu, and C.-W. Shu
Title: Local discontinuous Galerkin methods for the generalized Zhakarov system
Page count: 38 pp.
Date: 2009-02-11
Abstract:
In this paper we develop a local discontinuous Galerkin (LDG) method for the gen- eralized 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.
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