学 术 报 告
题目：Local Discontinuous Galerkin Methods for the Coupled BBM-BBM Dispersive Wave System
摘要：Nonlinear, dispersive wave equations arise in a number of important application areas. The coupled BBM-BBM system describes the small-amplitude long waves on the surface of water in a channel. In this talk, we present high order local discontinuous Galerkin methods with both conservative and dissipative numerical fluxes to solve the coupled BBM-BBM system, combined with both explicit Runge-Kutta and implicit midpoint energy-conserving time discretization. The proposed full-discrete method can be shown to conserve or dissipate the discrete version of the Hamiltonian of the continuous solution. The error estimate with optimal order of convergence is provided for the semi-discrete method. A series of numerical experiments are provided to establish accuracy and stability of the method, including generation of soliton waves and head on collisions of solitary waves.
时间：2019 年 6 月 13 日下午 15:00
地点：西大楼 210 室