摘要
本文讨论抛物型方程混合问题的解法 .提出在有限元半离散过程后 ,用精细积分法 [1] 获得一个较好的解 ,并且分析了这种方法的误差 ,证明了用这种方法和二次插值 ,在节点上有 O(h4)的超收敛性 [2 ] .
This discusses about the solution means of mixed problem of parabolic equation.In the course of calculating semi-discrete finite element,I gain better solutions by using meticulous integration methods,and analysing their errors and successfully proving that there is the O(h 4)superconvergence in the node by means of this way and quadratic interpolation.
出处
《数学理论与应用》
2004年第2期38-42,共5页
Mathematical Theory and Applications