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Interface control domain decomposition (ICDD) methods for the Stokes problem
journal contribution
posted on 2015-09-11, 13:47 authored by Marco DiscacciatiMarco Discacciati, Paola Gervasio, Alfio QuarteroniWe 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.
Funding
The first author acknowledges funding from the European Union Seventh Framework Programme (FP7/2007- 2013) under grant agreement n◦ 294229.
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Coupled Systems and Multiscale DynamicsVolume
1Issue
3Pages
372 - 392Citation
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 - 392Publisher
© American Scientific PublishersVersion
- AM (Accepted Manuscript)
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
2013Notes
Closed accessISSN
2330-152XPublisher version
Language
- en