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This paper presents a study of finite element error estimation ofadvection-diffusion-reaction equation with spatially variable coefficients. Wehave derived a priori and a posteriori errors in both energy and L2 norm. Wehave used residual-based a posteriori error estimator. Numerical results arealso presented to verify our theoretical approach.

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