论文标题
抛物线方程的外推欧拉/有限元离散的最大符号A后验误差界限
Maximum-norm a posteriori error bounds for an extrapolated Euler/finite element discretisation of parabolic equations
论文作者
论文摘要
考虑了一类线性抛物线方程。我们在最大规范的后验误差估计值中，该方法包含推断在空间中应用于向后的Euler方法的外推法和有限的元素离散。我们将椭圆形重建的想法和某些界限用于抛物线扰机操作员的绿色功能。
A class of linear parabolic equations are considered. We give a posteriori error estimates in the maximum norm for a method that comprises extrapolation applied to the backward Euler method in time and finite element discretisations in space. We use the idea of elliptic reconstructions and certain bounds for the Green's function of the parabolic operator.
