A new mixed scheme based on variation of constants for Sobolev equation with nonlinear convection term

被引：5
|
作者：
Liu Yang [1 ]
Li Hong [1 ]
He Siriguleng [1 ]
Gao Wei [1 ]
Mu Sen [2 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
[2] Hunan Univ, Coll Finance & Stat, Changsha 410205, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2013年 / 28卷 / 02期
关键词：
Sobolev equation; nonlinear; convection term; variation of constants; H-1-Galerkin mixed method; optimal error estimate; FINITE-ELEMENT METHODS;
D O I：
10.1007/s11766-013-2939-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new mixed scheme which combines the variation of constants and the H (1)-Galerkin mixed finite element method is constructed for nonlinear Sobolev equation with nonlinear convection term. Optimal error estimates are derived for both semidiscrete and fully discrete schemes. Finally, some numerical results are given to confirm the theoretical analysis of the proposed method.
引用
收藏
页码：158 / 172
页数：15
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