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Title: The interface control domain decomposition (ICDD) method for elliptic problems
Authors: Discacciati, Marco
Gervasio, Paola
Quarteroni, Alfio
Issue Date: 2013
Publisher: © Society for Industrial and Applied Mathematics
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
Abstract: 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.
Description: 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].
Version: Published
DOI: 10.1137/120890764
URI: https://dspace.lboro.ac.uk/2134/18721
Publisher Link: http://dx.doi.org/10.1137/120890764
ISSN: 0036-1402
Appears in Collections:Published Articles (Maths)

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