A posteriori error analysis for Navier–Stokes equations coupled with Darcy problem

Our aim in this paper is to study the interaction between surface and subsurface flows. The model considered is a system coupling Navier–Stokes and Darcy equations. We make use of a discontinuous Galerkin finite element method for the discretisation of this problem. Then we develop a posteriori erro...

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Bibliographic Details
Published in:Calcolo 2015-12, Vol.52 (4), p.559-576
Main Authors: Hadji, M. L., Assala, A., Nouri, F. Z.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Numerical Analysis
Theory of Computation
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Summary:Our aim in this paper is to study the interaction between surface and subsurface flows. The model considered is a system coupling Navier–Stokes and Darcy equations. We make use of a discontinuous Galerkin finite element method for the discretisation of this problem. Then we develop a posteriori error analysis for the resulting discrete problem. Numerical experimentations confirm our analytical results.
ISSN:0008-0624
1126-5434
DOI:10.1007/s10092-014-0130-z