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Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
chapterposted on 2015-09-15, 10:57 authored by Marco DiscacciatiMarco Discacciati, Alfio Quarteroni
We introduce a differential system based on the coupling of the (Navier) Stokes equations and the Darcy equation for the modelling of the interaction between surface and subsurface flows. We formulate the problem as an interface problem and analyze the associated Steklov-Poincaré operator. We then propose a way of solving the coupled problem iteratively, based on a suitable splitting of the interface conditions, allowing the solution of two subproblems at each step.
- Mathematical Sciences
Published inNumerical Analysis and Advanced Applications
Pages3 - 20
CitationDISCACCIATI, M. and QUARTERONI, A., 2003. Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations. IN: Brezzi, F. ... et al (eds). Numerical Analysis and Advanced Applications: Proceedings of ENUMATH 2001 the 4th European Conference on Numerical Mathematics and Advanced Applications Ischia, July 2001. Milan: Springer Milan, pp.3-20.
Publisher© Springer-Verlag Italia, Milano
- NA (Not Applicable or Unknown)
Publisher statementThis work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
NotesThis paper is closed access.