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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/18747

Title: Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
Authors: Discacciati, Marco
Quarteroni, Alfio
Issue Date: 2004
Publisher: © Springer
Citation: DISCACCIATI, M. and QUARTERONI, A., 2004. Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations. Computing and Visualization in Science, 6 (2), pp.93-103.
Abstract: We consider a Galerkin Finite Element approximation of the Stokes–Darcy problem which models the coupling between surface and groundwater flows. Then we propose an iterative subdomain method for its solution, inspired to the domain decomposition theory. The convergence analysis that we develop is based on the properties of the discrete Steklov–Poincaré operators associated to the given coupled problem. An optimal preconditioner for Krylov methods is proposed and analyzed
Description: This paper is closed access.
Version: Closed access
DOI: 10.1007/s00791-003-0113-0
URI: https://dspace.lboro.ac.uk/2134/18747
Publisher Link: http://dx.doi.org/10.1007/s00791-003-0113-0
ISSN: 1433-0369
Appears in Collections:Closed Access (Maths)

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