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dc.contributor.authorIgnat L.I.
dc.contributor.authorZuazua E.
dc.date.accessioned2017-02-21T08:18:18Z
dc.date.available2017-02-21T08:18:18Z
dc.date.issued2009-12-31
dc.identifier.issn1435-9855
dc.identifier.urihttp://hdl.handle.net/20.500.11824/514
dc.description.abstractWe analyze the problem of boundary observability of the finite-difference space semidiscretizations of the 2-d wave equation in the square.We prove the uniform (with respect to the meshsize) boundary observability for the solutions obtained by the two-grid preconditioner introduced by Glowinski [9]. Our method uses previously known uniform observability inequalities for low frequency solutions and a dyadic spectral time decomposition. As a consequence we prove the convergence of the two-grid algorithm for computing the boundary controls for the wave equation. The method can be applied in any space dimension, for more general domains and other discretization schemes. © European Mathematical Society 2009.
dc.formatapplication/pdf
dc.languageeng
dc.publisherJournal of the European Mathematical Society
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.titleConvergence of a two-grid algorithm for the control of the wave equation
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-74249086841&partnerID=40&md5=291776cd0553b0390e736a9013fc8b88


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