A NONCONFORMING QUADRILATERAL FINITE ELEMENT APPROXIMATION TO NONLINEAR SCHRODINGER EQUATION

被引：10
|
作者：
Shi, Dongyang [1 ]
Liao, Xin [2 ]
Wang, Lele [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
[2] Zhengzhou Univ Aeronaut, Dept Math & Phys, Zhengzhou 450046, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Nonlinear Schrodinger equation; modified quasi-Wilson element; supercloseness and superconvergence; SINE-GORDON EQUATIONS; GALERKIN METHOD;
D O I：
10.1016/S0252-9602(17)30024-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, a nonconforming quadrilateral element (named modified quasi Wilson element) is applied to solve the nonlinear schrodinger equation (NLSE). On the basis of a special character of this element, that is, its consistency error is of order O(h(3)) for broken H-1-norm on arbitrary quadrilateral meshes, which is two order higher than its interpolation error, the optimal order error estimate and superclose property are obtained. Moreover, the global superconvergence result is deduced with the help of interpolation postprocessing technique. Finally, some numerical results are provided to verify the theoretical analysis.
引用
收藏
页码：584 / 592
页数：9
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