Mixed finite element analysis and numerical solitary solution for the RLW equation

被引：25

作者：

Luo, ZD ^{[1
]}

Liu, RX

机构：

[1] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China

[2] Univ Sci & Technol China, Dept Math, Hefei, Anhui, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1998年 / 36卷 / 01期

关键词：

RLW equation; mixed finite element; error estimate;

D O I：

10.1137/S0036142996312999

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a mixed finite element (MFE) formulation is proposed for the 1-D regularized long wave (RLW) equation u(t) + auu(x) ? delta u(xxt) = 0. The existence of its mixed generalized solution and semidiscrete and fully discrete mixed finite element solutions is proved, error estimates based on energy methods are given, and finally, results of numerical experiments comparing this formulation with a Galerkin method based on cubic splines are also given.

引用

页码：89 / 104

页数：16

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