Rapport Année : 2013

Mixed finite element discretization of a model for organic pollution in waters Part I. The problem and its discretization

Résumé

We consider a mixed reaction diffusion system describing the organic pollution in stream-waters. It may be viewed as the static version of Streeter-Phelps equations relating the Biochemical Oxygen Demand and Dissolved Oxygen to which dispersion terms are added. In this work, we propose a mixed variational formulation and prove its well-posedness. Next, we develop two finite element discretizations of this problem and establish optimal a priori error estimates for the second discrete problem.

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hal-00781238 , version 1 (28-01-2013)

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  • HAL Id : hal-00781238 , version 1

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Faker Ben Belgacem, Christine Bernardi, Frédéric Hecht, Stéphanie Salmon. Mixed finite element discretization of a model for organic pollution in waters Part I. The problem and its discretization. 2013. ⟨hal-00781238⟩
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