标题： 椭圆重构和全离散线性抛物问题的后验误差估计 显示英文标题

标题： Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems

摘要： 我们推导了对线性抛物方程在时空域上解的全离散逼近的后验误差估计。空间离散化使用允许随时间变化的有限元空间。我们的主要工具是对Makridakis和Nochetto（2003）引入的椭圆重构技术的适当适应。我们推导了时间最大范数和空间均方范数以及时间导数的时间-空间均方范数的新最优阶后验误差估计。 显示英文摘要

摘要： We derive aposteriori error estimates for fully discrete approximations to solutions of linear parabolic equations on the space-time domain. The space discretization uses finite element spaces, that are allowed to change in time. Our main tool is an appropriate adaptation of the elliptic reconstruction technique, introduced by Makridakis and Nochetto (2003). We derive novel optimal order aposteriori error estimates for the maximum-in-time and mean-square-in-space norm and the mean-square in space-time of the time-derivative norm.