常微分方程初值问题的一类间断有限元

摘要

文章介绍了常微分方程初值问题一类间断有限元的算法及偶次间断有限元数值流通量在节点处的超收敛O（h2k＋2）,数值结果证实了此超收敛阶,还发现了单元内部的超收敛点。%Algorithm of a kind of discontinuous finite element for an initial-value problem of ordinary differential equation and superconvergence order of the numerical flux at nodes for even degree discontinuous finite element are introduced in this paper.Then the superconvergence order is confirmed by numerical results and superconvergent points in elements are also shown in error figures.