A TWO-GRID FINITE-ELEMENT METHOD FOR THE NONLINEAR SCHRODINGER EQUATION

被引：27

作者：

Jin, Jicheng ^{[1
]}

Wei, Ning ^{[2
]}

Zhang, Hongmei ^{[1
,2
]}

机构：

[1] Hunan Univ Technol, Sch Sci, Zhuzhou 412007, Hunan, Peoples R China

[2] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2015年 / 33卷 / 02期

基金：

美国国家科学基金会;

关键词：

Nonlinear Schrodinger equation; Finite element method; Two-grid; APPROXIMATION; SCHEME;

D O I：

10.4208/jcm.1409-m4323

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some two-grid finite element schemes are constructed for solving the nonlinear Schrodinger equation. With these schemes, the solution of the original problem is reduced to the solution of the same problem on a much coarser grid together with the solutions of two linear problems on a fine grid. We have shown, both theoretically and numerically, that our schemes are efficient and achieve asymptotically optimal accuracy.

引用

页码：146 / 157

页数：12

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