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Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
journal contribution
posted on 2015-09-14, 15:12 authored by Marco DiscacciatiMarco Discacciati, Alfio QuarteroniWe 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
History
School
- Science
Department
- Mathematical Sciences
Published in
Computing and Visualization in ScienceVolume
6Pages
93 - 103Citation
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.Publisher
© SpringerVersion
- 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
2004Notes
This paper is closed access.ISSN
1433-0369Publisher version
Language
- en