Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/92485
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorLi, Ben_US
dc.date.accessioned2022-04-07T06:32:32Z-
dc.date.available2022-04-07T06:32:32Z-
dc.identifier.issn0025-5718en_US
dc.identifier.urihttp://hdl.handle.net/10397/92485-
dc.language.isoenen_US
dc.publisherAmerican Mathematical Societyen_US
dc.rightsFirst published in Math. Comp. in 88 (2019), published by the American Mathematical Society. © Copyright 2018 American Mathematical Societyen_US
dc.rightsThis manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/en_US
dc.subjectAnalytic semigroupen_US
dc.subjectFinite element methoden_US
dc.subjectMaximal Lp-regularityen_US
dc.subjectMaximum-norm stabilityen_US
dc.subjectNonconvex polyhedraen_US
dc.subjectParabolic equationen_US
dc.titleAnalyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedraen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1en_US
dc.identifier.epage44en_US
dc.identifier.volume88en_US
dc.identifier.issue315en_US
dc.identifier.doi10.1090/mcom/3316en_US
dcterms.abstractIn general polygons and polyhedra, possibly nonconvex, the analyticity of the finite element heat semigroup in the Lq-norm, 1 ≤ q ≤ ∞, and the maximal Lp-regularity of semi-discrete finite element solutions of parabolic equations are proved. By using these results, the problem of maximum-norm stability of the finite element parabolic projection is reduced to the maximumnorm stability of the Ritz projection, which currently is known to hold for general polygonal domains and convex polyhedral domains.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationMathematics of computation, 2019, v. 88, no. 315, p. 1-44en_US
dcterms.isPartOfMathematics of computationen_US
dcterms.issued2019-
dc.identifier.scopus2-s2.0-85036662291-
dc.identifier.eissn1088-6842en_US
dc.description.validate202204 bcfcen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumberRGC-B1-174, AMA-0321-
dc.description.fundingSourceRGCen_US
dc.description.pubStatusPublisheden_US
dc.identifier.OPUS22966009-
dc.description.oaCategoryGreen (AAM)en_US
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