耦合非线性薛定谔方程组的二阶Crank-Nicolson有限元算法  

Second-order Crank-Nicolson FEMs for a Coupled Nonlinear Schr?dinger Equation

作　　者：傅天添 FU Tiantian(School of Mathematics and Physics,Wenzhou University,Wenzhou,China325035)

机构地区：[1]温州大学数理学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2023年第1期29-37,共9页Journal of Wenzhou University(Natural Science Edition)

摘　　要：研究了三维空间中耦合非线性薛定谔系统二阶Crank-Nicolson有限元算法,证明了该耦合薛定谔方程组离散解的稳定性.通过对误差函数分别取实部和虚部,并利用逆不等式以及插值不等式,得到了无条件的最优L2误差估计.This paper studies the second-order Crank-Nicolson finite element algorithm for a coupled nonlinear Schr?dinger system in three-dimensional space. It proves the stability of discrete solution of the coupled Schr?dinger equations. And by taking the real part and imaginary part of the error function respectively and using inequality and interpolation inequality, it obtains the unconditional optimal L2 error estimation.

关 键 词：耦合非线性薛定谔方程组 二阶Crank-Nicolson有限元 离散解的稳定性 无条件最优误差估计 

分 类 号：O241.82[理学—计算数学]