时间上采用外推欧拉方法、空间上采用有限元方法离散的抛物型方程的最大模范后验误差界
数值分析
2024-11-22 v1 数值分析
摘要
考虑一类线性抛物型方程。我们推导了一个框架，用于时间上采用任意阶Richardson外推法离散、空间上采用有限元离散的后验误差分析。我们使用了椭圆重构的思想以及抛物型算子格林函数的某些界限。分析的关键点是从仅在网格点给出的近似值中设计合适的时间多项式重构。
引用
@article{arxiv.2411.13617,
title = {Maximum-norm a posteriori error bounds for parabolic equations discretised by the extrapolated Euler method in time and FEM in space},
author = {Torsten Linß and Goran Radojev},
journal= {arXiv preprint arXiv:2411.13617},
year = {2024}
}
备注
arXiv admin note: substantial text overlap with arXiv:2304.01637, arXiv:2208.08153