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The interface control domain decomposition (ICDD) method for elliptic problems

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journal contribution
posted on 11.09.2015, 13:18 by Marco DiscacciatiMarco Discacciati, Paola Gervasio, Alfio Quarteroni
Interface controls are unknown functions used as Dirichlet or Robin boundary data on the interfaces of an overlapping decomposition designed for solving second order elliptic boundary value problems. The controls are computed through an optimal control problem with either distributed or interface observation. Numerical results show that, when interface observation is considered, the resulting interface control domain decomposition method is robust with respect to coefficients variations; it can exploit nonconforming meshes and provides optimal convergence with respect to the discretization parameters; finally it can be easily used to face heterogeneous advection--advection-diffusion couplings.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

SIAM Journal on Control and Optimization

Volume

51

Issue

5

Pages

3434 - 3458

Citation

DISCACCIATI, M., GERVASIO, P. and QUARTERONI, A., 2013. The interface control domain decomposition (ICDD) method for elliptic problems. SIAM Journal on Control and Optimization, 51 (5), pp. 3434 - 3458

Publisher

© Society for Industrial and Applied Mathematics

Version

VoR (Version of Record)

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

2013

Notes

First Published in SIAM J. Control Optim., 51(5) published by the Society of Industrial and Applied Mathematics (SIAM) [© Society for Industrial and Applied Mathematics].

ISSN

0036-1402

Language

en

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