A priori and a posteriori error estimation for finite element approximation of advection-diffusion-reaction equation with spatially variable coefficients
Analysis of PDEs
2018-11-14 v1
Abstract
This paper presents a study of finite element error estimation of advection-diffusion-reaction equation with spatially variable coefficients. We have derived a priori and a posteriori errors in both energy and L2 norm. We have used residual-based a posteriori error estimator. Numerical results are also presented to verify our theoretical approach.
Keywords
Cite
@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}
}
Comments
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