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arXiv · 1811.05283

A priori and a posteriori error estimation for finite element approximation of advection-diffusion-reaction equation with spatially variable coefficients

Prof. B. V. Rathish Kumar·Manisha Chowdhury
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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.

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Prof. B. V. Rathish Kumar, Manisha Chowdhury. 2018-11-13. A priori and a posteriori error estimation for finite element approximation of advection-diffusion-reaction equation with spatially variable coefficients. https://arxiv.org/abs/1811.05283

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