Solving unsteady Schrodinger equation using the improved element-free Galerkin method

被引：23

作者：

Cheng, Rong-Jun ^{[1
]}

Cheng, Yu-Min ^{[2
]}

机构：

[1] Ningbo Univ, Fac Maritime & Transportat, Ningbo 315211, Peoples R China

[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

来源：

CHINESE PHYSICS B | 2016年 / 25卷 / 02期

基金：

中国国家自然科学基金;

关键词：

meshless method; improved moving least-square (IMLS) approximation; improved element-free Galerkin (IEFG) method; Schrodinger equation; 2-DIMENSIONAL ELASTICITY PROBLEMS; FREE METHOD BEFM; HEAT-CONDUCTION PROBLEMS; KERNEL PARTICLE METHOD; FREE METHOD IBEFM; POTENTIAL PROBLEMS; BOUNDARY-CONDITIONS; FRACTURE PROBLEMS; IEFG METHOD; SCHEMES;

D O I：

10.1088/1674-1056/25/2/020203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By employing the improved moving least-square (IMLS) approximation, the improved element-free Galerkin (IEFG) method is presented for the unsteady Schrodinger equation. In the IEFG method, the two-dimensional (2D) trial function is approximated by the IMLS approximation, the variation method is used to obtain the discrete equations, and the essential boundary conditions are imposed by the penalty method. Because the number of coefficients in the IMLS approximation is less than in the moving least-square (MLS) approximation, fewer nodes are needed in the entire domain when the IMLS approximation is used than when the MLS approximation is adopted. Then the IEFG method has high computational efficiency and accuracy. Several numerical examples are given to verify the accuracy and efficiency of the IEFG method in this paper.

引用

页数：9

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