一类非线性Schrdinger方程的非协调有限元分析

Nonconforming Finite Element Analysis of a Class of Nonlinear Schrdinger Equations

在半离散格式下研究一类带幂次非线性项的Schrdinger方程的非协调矩形EQrot1元方法.直接利用插值技巧和该单元的两个特殊性质(相容误差比插值误差高一阶及其插值算子与传统的Ritz投影是一致的),给出相应的收敛性分析及误差估计.

Under the semi-discrete scheme nonconforming rectangular EQrot1 finite element method of a class of SchrOdinger equations with power nonlinear terms is studied. By using of the interpolation technique and two special properties of the finite element （the consistency error is one order higher than the interpolation error and it＇s interpolation operator coincides with the traditional Ritz projection）, the corresponding convergence analysis and error estimate are drived.