Local discontinuous Galerkin methods for the generalized Zakharov system |
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| Authors: | Yinhua Xia Yan Xu Chi-Wang Shu |
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| Affiliation: | 1. Division of Applied Mathematics, Brown University, Providence, RI 02912, USA;2. Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, PR China |
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| 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. |
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