A NONCONFORMING QUADRILATERAL FINITE ELEMENT APPROXIMATION TO NONLINEAR SCHRDINGER EQUATION

被引：0
|
作者：
石东洋 [1 ]
廖歆 [2 ]
王乐乐 [1 ]
机构：
[1] School of Mathematics and Statistics, Zhengzhou University
[2] Department of Mathematics and Physics, Zhengzhou University of
来源：
Acta Mathematica Scientia(English Series) | 2017年 / 37卷 / 03期
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中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
摘要：
In this article, a nonconforming quadrilateral element（named modified quasiWilson element） is applied to solve the nonlinear schr¨odinger equation（NLSE）. On the basis of a special character of this element, that is, its consistency error is of order O（h3） for broken H1-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.
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页码：584 / 592
页数：9
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