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《Journal of Anhui University(Natural Science Edition)》 2012-01
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An H~1-Galerkin nonconforming mixed finite element method of Schrdinger equation

ZHOU Jia-quan1,SHI Dong-wei2,ZHANG Yong-sheng1(1.Department of Mathematics and Physics,Luoyang Institute of Technology,Luoyang 471023,China; 2.Department of Mathematics,Henan Institute of Science and Technology,Xinxiang 453003,China)  
In this paper,a new H1-Galerkin nonconforming mixed finite element method of Schrdinger equation is proposed.It needn't satisfy LBB consistency condition.Moreover,without the traditional Ritz projection,and by the orthogonality of interpolation operator,the optimal error estimates and some superclose results are obtained.Furthermore,the global superconvergence is derived through constructing the interpolated post-processing operator.
【Fund】: 国家自然科学基金资助项目(60876014);; 河南省创新人才基金资助项目(2008HASTIT029);; 河南省教育厅自然科学基金资助项目(2010B110017);; 洛阳理工学院自然科学基金资助项目(2008YZB14)
【CateGory Index】: O241.82
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