A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: Energy conservation and boundary effect
نویسندگان
چکیده
Article history: Received 9 August 2012 Received in revised form 12 December 2012 Accepted 24 January 2013 Available online 14 February 2013
منابع مشابه
Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation
Abstract. We construct, analyze and numerically validate a class of conservative, discontinuous Galerkin schemes for the Generalized Korteweg-de Vries equation. Up to round-off error, these schemes preserve discrete versions of the first two invariants (the integral of the solution, usually identified with the mass, and the L–norm) of the continuous solution. Numerical evidence is provided indi...
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ورودعنوان ژورنال:
- J. Comput. Physics
دوره 242 شماره
صفحات -
تاریخ انتشار 2013