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Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations

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posted on 15.09.2015, 10:57 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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Numerical Analysis and Advanced Applications

Pages

3 - 20

Citation

DISCACCIATI, 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

Version

NA (Not Applicable or Unknown)

Publisher statement

This 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/

Publication date

2003

Notes

This paper is closed access.

ISBN

8847001803;9788847021679;9788847020894

Language

en

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