摘要
基于对偶论证和单元上的正交展开方法较简明的证明了常微分初值问题的m次间断有限元在节点及内部特征点上的超收敛性,并将它用于非线性Schrodinger方程,得到了一个近似守恒律,有误差O(h2m+1)。
Based on duality argument and orthogonal expand in the element, proved is superconvergence of m-degree discontinuous finite element at nodes and inter characteristic points, which is applied to nonlinear Schrodinger equation, an approximately conserration law obtained, error being O(h^(2m+1)).
出处
《株洲工学院学报》
2004年第2期30-32,共3页
Journal of Zhuzhou Institute of Technology