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| 常微分初值问题的间断有限元的超收敛性 | |
| 引用本文： | 汤琼,陈传淼,刘罗华.常微分初值问题的间断有限元的超收敛性[J].湖南工业大学学报,2004,18(2). |
| 作者姓名： | 汤琼 陈传淼 刘罗华 |
| 作者单位： | 1. 株洲工学院,信息与计算科学系,湖南,株洲,412008;湖南师范大学,数学与计算机科学学院,湖南,长沙,412008 2. 湖南师范大学,数学与计算机科学学院,湖南,长沙,412008 3. 株洲工学院,信息与计算科学系,湖南,株洲,412008 |
| 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). |
| 关 键 词： | 常微分方程 间断有限元 特征点 超收敛 |
Superconvergence of Discontinuous Finite Elements for Initial Value Problem of Ordinary Differential Equation |
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| TANG Qiong.Superconvergence of Discontinuous Finite Elements for Initial Value Problem of Ordinary Differential Equation[J].Journal of Hnnnan University of Technology,2004,18(2). | |
| Authors: | TANG Qiong |
| Affiliation: | TANG Qiong~ |
| Abstract: | 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)). |
| Keywords: | Ordinary differential equation discontinuous finite element characteristic points superconvergence |
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