两类积分－微分方程有限元方法的超收敛分析

SUPERCONVERGENCE ANALYSIS OF FINITE ELEMENT METHOD FOR TWO INTEGRO─DIFFERENTIAL EQUATIONS

本文讨论抛物型及双典型积分－微分方程的初边值问题，证明如果相应的椭圆问题的有限元解具有超收敛性，那么这两类积分－微分方程的有限元解也具有超收敛性。

In this paper, we show that there exist superconvergence for the initial boundary value problems of parabolic and hyperbolic integro ─ differential equations if the correspounding elliptic problems exist superconvergence.