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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/18724

Title: Interface control domain decomposition (ICDD) methods for the Stokes problem
Authors: Discacciati, Marco
Gervasio, Paola
Quarteroni, Alfio
Keywords: Stokes equations
Domain decomposition methods
Optimal control
hp-Finite Elements
ICDD
Issue Date: 2013
Publisher: © American Scientific Publishers
Citation: DISCACCIATI, M., GERVASIO, P. and QUARTERONI, A., 2013. Interface control domain decomposition (ICDD) methods for the Stokes problem. Journal of Coupled Systems and Multiscale Dynamics, 1 (3), pp. 372 - 392
Abstract: We study the Interface Control Domain Decomposition (ICDD) for the Stokes equation. We reformulate this problem introducing auxiliary control variables that represent either the traces of the fluid velocity or the normal stress across subdomain interfaces. Then, we characterize suitable cost functionals whose minimization permits to recover the solution of the original problem. We analyze the well-posedness of the optimal control problems associated to the different choices of the cost functionals, and we propose a discretization of the problem based on hp finite elements. The effectiveness of the proposed methods is illustrated through several numerical tests.
Description: Closed access
Sponsor: The first author acknowledges funding from the European Union Seventh Framework Programme (FP7/2007- 2013) under grant agreement n◦ 294229.
Version: Accepted for publication
DOI: 10.1166/jcsmd.2013.1026
URI: https://dspace.lboro.ac.uk/2134/18724
Publisher Link: http://dx.doi.org/10.1166/jcsmd.2013.1026
ISSN: 2330-152X
Appears in Collections:Closed Access (Maths)

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