典型文献
Local Discontinuous Galerkin Methods for the abcd Nonlinear Boussinesq System
文献摘要：
Boussinesq type equations have been widely studied to model the surface water wave.In this paper,we consider the abcd Boussinesq system which is a family of Boussinesq type equations including many well-known models such as the classical Boussinesq system,the BBM-BBM system,the Bona-Smith system,etc.We propose local discontinuous Galerkin(LDG)methods,with carefully chosen numerical fluxes,to numerically solve this abcd Boussinesq system.The main focus of this paper is to rigorously establish a priori error esti-mate of the proposed LDG methods for a wide range of the parameters a,b,c,d.Numerical experiments are shown to test the convergence rates,and to demonstrate that the proposed methods can simulate the head-on collision of traveling wave and finite time blow-up behavior well.
文献关键词：
中图分类号：
作者姓名：
Jiawei Sun;Shusen Xie;Yulong Xing
作者机构：
Department of Mathematics,The Ohio State University,Columbus,OH 43210,USA;School of Mathematical Sciences,Ocean University of China,Qingdao 266100,Shandong,China
文献出处：
引用格式：
[1]Jiawei Sun;Shusen Xie;Yulong Xing-.Local Discontinuous Galerkin Methods for the abcd Nonlinear Boussinesq System)[J].应用数学与计算数学学报,2022(02):381-416
A类：
Bona
B类：
Local,Discontinuous,Galerkin,Methods,abcd,Nonlinear,Boussinesq,System,type,equations,have,been,widely,studied,surface,water,wave,In,this,paper,consider,system,which,family,including,many,well,known,models,such,classical,BBM,Smith,etc,We,local,discontinuous,LDG,methods,carefully,chosen,fluxes,numerically,solve,main,focus,rigorously,establish,priori,error,esti,mate,proposed,range,parameters,Numerical,experiments,shown,test,convergence,rates,demonstrate,that,can,simulate,head,collision,traveling,finite,blow,up,behavior
AB值：
0.603322
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