H1-Galerkin mixed finite element method for the regularized long wave equation

被引：72

作者：

Guo, L

Chen, H

机构：

[1] Shanghai Jiao Tong Univ, Dept Appl Math, Shanghai 200240, Peoples R China

[2] Shandong Normal Univ, Dept Math, Jinan, Peoples R China

来源：

COMPUTING | 2006年 / 77卷 / 02期

关键词：

RLW equation; H-1-Galerkin mixed finite element method; optimal error estimates;

D O I：

10.1007/s00607-005-0158-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, an H-1-Galerkin mixed finite element method is proposed for the 1-D regularized long wave (RLW) equation u(t)+u(x)+uu(x)-delta u(xxt)=0. The existence of unique solutions of the semi-discrete and fully discrete H-1-Galerkin mixed finite element methods is proved, and optimal error estimates are established. Our method can simultaneously approximate the scalar unknown and the vector flux effectively, without requiring the LBB consistency condition. Finally, some numerical results are provided to illustrate the efficacy of our method.

引用

页码：205 / 221

页数：17

共 33 条

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Adams R., 1975, Sobolev space

[2] GALERKIN METHODS APPLIED TO SOME MODEL EQUATIONS FOR NONLINEAR DISPERSIVE WAVES [J].