Discacciati_2013.pdf (1 MB)
The interface control domain decomposition (ICDD) method for elliptic problems
journal contribution
posted on 2015-09-11, 13:18 authored by Marco DiscacciatiMarco Discacciati, Paola Gervasio, Alfio QuarteroniInterface 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 OptimizationVolume
51Issue
5Pages
3434 - 3458Citation
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 - 3458Publisher
© Society for Industrial and Applied MathematicsVersion
- 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
2013Notes
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
0036-1402Publisher version
Language
- en