一类Schrdinger方程特征值问题的Wilson元误差估计

Two-Scale Scheme for Wilson Nonconforming Element of Eigenvalue Problem of A Class of Schrdinger Equation

讨论三维Schrdinger方程特征值问题的Wilson元离散及二网格离散方案,得到相应的误差估计结果.数值实验结果表明,Schrdinger方程的Wilson元下逼近于准确特征值.

This paper discusses the nonconforming finite element for eigenvalueproblem of Schrdinger equation.Based on the two-scale scheme,this paper establish two-scale scheme for Wilson nonconforming element of eigenvalue problem of Schrdinger equation.It is proved the resulting solution of the scheme still maintainsan asymptotically optimal order of accuracy and numerical experiments areprovided to support theoretical conclusions.