Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/6244
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Cao, L | - |
dc.creator | Liu, J | - |
dc.creator | Allegretto, W | - |
dc.creator | Lin, Y | - |
dc.date.accessioned | 2014-12-11T08:28:19Z | - |
dc.date.available | 2014-12-11T08:28:19Z | - |
dc.identifier.issn | 0363-0129 | - |
dc.identifier.uri | http://hdl.handle.net/10397/6244 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2012 Society for Industrial and Applied Mathematics | en_US |
dc.subject | Optimal control | en_US |
dc.subject | Parabolic equation with rapidly oscillating coefficients | en_US |
dc.subject | Multiscale asymptotic expansion | en_US |
dc.subject | Boundary layer solution | en_US |
dc.title | A multiscale approach for optimal control problems of linear parabolic equations | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.description.otherinformation | Author name used in this publication: Lin, Yanping | en_US |
dc.identifier.spage | 3269 | - |
dc.identifier.epage | 3291 | - |
dc.identifier.volume | 50 | - |
dc.identifier.issue | 6 | - |
dc.identifier.doi | 10.1137/110828800 | - |
dcterms.abstract | This paper discusses multiscale analysis for optimal control problems of linear parabolic equations with rapidly oscillating coefficients that depend on spatial and temporal variables. There are mainly three new results in the present paper. First, we obtain the convergence results with an explicit convergence rate for the multiscale asymptotic expansions of the solution of the optimal control problem in the case without constraints. Second, for a general bounded Lipschitz polygonal domain, the boundary layer solution is defined and the corresponding convergence results are also derived. Finally, an explicit convergence rate ε ¹∕² in the presence of constraint is reported. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on control and optimization, 2012, v. 50, no. 6, p. 3269-3291 | - |
dcterms.isPartOf | SIAM journal on control and optimization | - |
dcterms.issued | 2012-12-06 | - |
dc.identifier.isi | WOS:000312701000006 | - |
dc.identifier.scopus | 2-s2.0-84871530694 | - |
dc.identifier.eissn | 1095-7138 | - |
dc.identifier.rosgroupid | r66006 | - |
dc.description.ros | 2012-2013 > Academic research: refereed > Publication in refereed journal | - |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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Cao_a_multiscale_approach.pdf | 288.95 kB | Adobe PDF | View/Open |
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