,A UNIFIED A POSTERIORI ERROR ANALYSIS FOR DISCONTINUOUS GALERKIN APPROXIMATIONS OF REACTIVE TRANSPO

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Four primal discontinuous Galerkin methods are applied to solve reactive transport problems, namely, Oden-Babu(s)ka-Baumann DG (OBB-DG), non-symmetric interior penalty Galerkin (NIPG), symmetric interior penalty Galerkin (SIPG), and incomplete interior penalty Galerkin (ⅡPG). A unified a posteriori residual-type error estimation is derived explicitly for these methods. From the computed solution and given data, explicit est-mators can be computed efficiently and directly, which can be used as error indicators foradaptation. Unlike in the reference [10], we obtain the error estimators in L2(L2) norm by using duality techniques instead of in L2(H1) norm.
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