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  4. The Interface Control Domain Decomposition (Icdd) Method For Elliptic Problems
 
research article

The Interface Control Domain Decomposition (Icdd) Method For Elliptic Problems

Discacciati, Marco  
•
Gervasio, Paola
•
Quarteroni, Alfio  
2013
Siam Journal On Control And Optimization

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 advectionadvection- diffusion couplings.

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Type
research article
DOI
10.1137/120890764
Web of Science ID

WOS:000326384700004

Author(s)
Discacciati, Marco  
Gervasio, Paola
Quarteroni, Alfio  
Date Issued

2013

Publisher

Society for Industrial and Applied Mathematics

Published in
Siam Journal On Control And Optimization
Volume

51

Issue

5

Start page

3434

End page

3458

Subjects

domain decomposition

•

optimal control

•

elliptic boundary value problems

•

nonconforming discretizations

•

heterogeneous coupling

•

ICDD

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CMCS  
Available on Infoscience
December 9, 2013
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/97530
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