具有空间变系数的对流-扩散-反应方程有限元逼近的先验与后验误差估计
偏微分方程分析
2018-11-14 v1
摘要
本文研究具有空间变系数的对流-扩散-反应方程的有限元误差估计。我们在能量范数和 L2 范数下推导了先验与后验误差。我们使用了基于残差的后验误差估计子。文中还给出了数值结果以验证我们的理论方法。
引用
@article{arxiv.1811.05283,
title = {A priori and a posteriori error estimation for finite element approximation of advection-diffusion-reaction equation with spatially variable coefficients},
author = {Prof. B. V. Rathish Kumar and Manisha Chowdhury},
journal= {arXiv preprint arXiv:1811.05283},
year = {2018}
}
备注
This paper establishes theoretically some strong results of error estimations for ADR equation with spatially variable coefficients, which will be very useful when this equation will be applied on real life practical problem. It contains 18 pages along with 2 tables