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Spectral discretization of a model for organic pollution in waters
Author(s) -
Bernardi Christine,
Yakoubi Driss
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3899
Subject(s) - discretization , mathematics , pollution , work (physics) , diffusion , mathematical optimization , mathematical analysis , thermodynamics , physics , ecology , biology
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.
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