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Spectral discretization of a model for organic pollution in waters
Authors:Christine Bernardi  Driss Yakoubi
Institution:1. Laboratoire Jacques‐Louis Lions, C.N.R.S. & Université Pierre et Marie Curie, France;2. The Fields Institute for Research in Mathematical Sciences, Toronto, ON, Canada
Abstract:We are interested in a mixed reaction diffusion system describing the organic pollution in stream‐waters. In this work, we propose a mixed‐variational formulation and recall its well‐posedness. Next, we consider a spectral discretization of this problem and establish nearly optimal error estimates. Numerical experiments confirm the interest of this approach. Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:Organic pollution  Spectral methods
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