Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/89653
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorGong, Wen_US
dc.creatorLi, Ben_US
dc.date.accessioned2021-04-28T01:17:22Z-
dc.date.available2021-04-28T01:17:22Z-
dc.identifier.issn0272-4979en_US
dc.identifier.urihttp://hdl.handle.net/10397/89653-
dc.language.isoenen_US
dc.publisherOxford University Pressen_US
dc.rights© The Author(s) 2019. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.en US
dc.rightsThis is a pre-copyedited, author-produced PDF of an article accepted for publication in IMA Journal of Numerical Analysis following peer review. The version of record Wei Gong, Buyang Li, Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems, IMA Journal of Numerical Analysis, Volume 40, Issue 4, October 2020, Pages 2898–2939 is available online at: https://doi.org/10.1093/imanum/drz029en US
dc.subjectDirichlet boundary controlen_US
dc.subjectParabolic equationen_US
dc.subjectFinite element methoden_US
dc.subjectMaximal Lp-regularityen_US
dc.titleImproved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problemsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage2898en_US
dc.identifier.epage2939en_US
dc.identifier.volume40en_US
dc.identifier.issue4en_US
dc.identifier.doi10.1093/imanum/drz029en_US
dcterms.abstractThe parabolic Dirichlet boundary control problem and its finite element discretization are considered in convex polygonal and polyhedral domains. We improve the existing results on the regularity of the solutions by establishing and utilizing the maximal Lp-regularity of parabolic equations under inhomogeneous Dirichlet boundary conditions. Based on the proved regularity of the solutions, we prove O(h1−1/q0−ϵ) convergence for the semidiscrete finite element solutions for some q0>2⁠, with q0 depending on the maximal interior angle at the corners and edges of the domain and ϵ being a positive number that can be arbitrarily small.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationIMA journal of numerical analysis, Oct. 2020, v. 40, no. 4, p. 2898-2939en_US
dcterms.isPartOfIMA journal of numerical analysisen_US
dcterms.issued2020-10-
dc.identifier.eissn1464-3642en_US
dc.description.validate202104 bcwhen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumbera0602-n13-
dc.identifier.SubFormID558-
dc.description.fundingSourceRGCen_US
dc.description.fundingText15301818en_US
dc.description.pubStatusPublisheden_US
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