阻尼Sine-Gordon方程的H^1-Galerkin混合元方法数值解(英文)  

Numerical Solutions of H^1-Galerkin Mixed Finite Element Method for a Damped Sine-Gordon Equation

作　　者：刘洋[1] 李宏 

机构地区：[1]内蒙古大学数学科学学院,内蒙古呼和浩特010021

出　　处：《应用数学》2009年第3期579-588,共10页Mathematica Applicata

基　　金：Supported by National Natural Science Fund(10601022);NSF of Inner Mongolia Autonomous Region(200607010106);YSF of Inner Mongolia University(ND0702)

摘　　要：利用H1-Galerkin混合有限元方法讨论阻尼Sine-Gordon方程,得到一维情况下半离散和全离散格式的最优阶误差估计,并且推广应用到二维和三维情况,而且不用验证LBB相容性条件.An H1-Galerkin mixed finite element method is discussed for a damped Sine-Gordon equation.The proof of optimal error estimates is given for both semidiscrete and fully discrete schemes for problems in one space dimension.An extension to problems in two and three space variables is also discussed,and it is showed that the H1-Galerkin mixed finite element don't require the LBB consistency condition.

关 键 词：SINE-GORDON方程 H1-Galerkin混合有限元法 LBB相容性条件 全离散格式 误差估计 

分 类 号：O241.82[理学—计算数学]