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The Interface Control Domain Decomposition (ICDD) method for elliptic problems
dc.contributor.author | Discacciati, Marco |
dc.contributor.author | Gervasio, Paola |
dc.contributor.author | Quarteroni, Alfio |
dc.date.accessioned | 2015-11-03T14:09:50Z |
dc.date.available | 2015-11-03T14:09:50Z |
dc.date.issued | 2013-09-10 |
dc.identifier.citation | Discacciati, M., Gervasio, P., Quarteroni, A. The Interface Control Domain Decomposition (ICDD) method for elliptic problems. "SIAM journal on control and optimization", 10 Setembre 2013, vol. 51, núm. 5, p. 3434-3458. |
dc.identifier.issn | 0363-0129 |
dc.identifier.uri | http://hdl.handle.net/2117/78724 |
dc.description.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. © 2013, Society for Industrial and Applied Mathematics |
dc.format.extent | 25 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
dc.subject.lcsh | Differential equations |
dc.subject.other | domain decomposition |
dc.subject.other | optimal control |
dc.subject.other | elliptic boundary value problems |
dc.subject.other | nonconforming discretizations |
dc.subject.other | heterogeneous coupling |
dc.subject.other | ICDD |
dc.title | The Interface Control Domain Decomposition (ICDD) method for elliptic problems |
dc.type | Article |
dc.subject.lemac | Equacions diferencials |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1137/120890764 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problems |
dc.relation.publisherversion | http://epubs.siam.org/doi/pdf/10.1137/120890764 |
dc.rights.access | Open Access |
local.identifier.drac | 12913011 |
dc.description.version | Postprint (author’s final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/294229/EU/Virtual control methods for coupling heterogeneous problems/HEVICO |
local.citation.author | Discacciati, M.; Gervasio, P.; Quarteroni, A. |
local.citation.publicationName | SIAM journal on control and optimization |
local.citation.volume | 51 |
local.citation.number | 5 |
local.citation.startingPage | 3434 |
local.citation.endingPage | 3458 |
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