常微分方程初值问题的连续有限元法

Continuous Finite Element Method for Initial Value Problem of Ordinary Differential Equation

在单元正交展开的余项中添加若干待定低次项，使此余项在一个单元上满足更多的正交性条件，得到所需的超接近于有限元解的逼近函数，由此对常微分方程初值问题导出了一些新的超收敛结果．

Adding some lower terms in the remainder of orthogonal expansion in an element so that the remainder satisfies more orthogonality conditions in the element, and obtain a desired superclose function to finite element solution, thus several new superconvergence results for the initial value problem of ordinary differential equation are derived.