DC FieldValueLanguage
dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorAkrivis, Gen_US
dc.creatorLi, Ben_US
dc.date.accessioned2021-04-28T01:17:21Z-
dc.date.available2021-04-28T01:17:21Z-
dc.identifier.issn0272-4979en_US
dc.identifier.urihttp://hdl.handle.net/10397/89652-
dc.language.isoenen_US
dc.publisherOxford University Pressen_US
dc.titleLinearization of the finite element method for gradient flows by Newton’s methoden_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.doi10.1093/imanum/draa016en_US
dcterms.abstractThe implicit Euler scheme for nonlinear partial differential equations of gradient flows is linearized by Newton’s method, discretized in space by the finite element method. With two Newton iterations at each time level, almost optimal order convergence of the numerical solutions is established in both the Lq(Ω) and W1,q(Ω) norms. The proof is based on techniques utilizing the resolvent estimate of elliptic operators on Lq(Ω) and the maximal Lp-regularity of fully discrete finite element solutions on W−1,q(Ω)⁠.en_US
dcterms.accessRightsembargoed accessen_US
dcterms.bibliographicCitationIMA journal of numerical analysis, draa016, https://doi.org/10.1093/imanum/draa016en_US
dcterms.isPartOfIMA journal of numerical analysisen_US
dcterms.issued2020-
dc.identifier.eissn1464-3642en_US
dc.description.validate202104 bcwhen_US
dc.description.oaNot applicableen_US
dc.identifier.FolderNumbera0602-n12-
dc.identifier.SubFormID557-
dc.description.fundingSourceRGCen_US
dc.description.fundingText15301818en_US
dc.description.pubStatusEarly releaseen_US
dc.date.embargo0000-00-00 (to be updated)en_US
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