Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/89652
PIRA download icon_1.1View/Download Full Text
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.rights© The Author(s) 2020. 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 Georgios Akrivis, Buyang Li, Linearization of the finite element method for gradient flows by Newton’s method, IMA Journal of Numerical Analysis, Volume 41, Issue 2, April 2021, Pages 1411–1440, is available online at: https://doi.org/10.1093/imanum/draa016.en_US
dc.titleLinearization of the finite element method for gradient flows by Newton’s methoden_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1411en_US
dc.identifier.epage1440en_US
dc.identifier.volume41en_US
dc.identifier.issue2en_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.accessRightsopen accessen_US
dcterms.bibliographicCitationIMA journal of numerical analysis, Apr. 2021, v. 41, no. 2, p. 1411-1440en_US
dcterms.isPartOfIMA journal of numerical analysisen_US
dcterms.issued2021-04-
dc.identifier.eissn1464-3642en_US
dc.description.validate202104 bcwhen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumbera0602-n12, RGC-B1-172-
dc.identifier.SubFormID557-
dc.description.fundingSourceRGCen_US
dc.description.fundingText15301818en_US
dc.description.pubStatusPublisheden_US
dc.description.oaCategoryGreen (AAM)en_US
Appears in Collections:Journal/Magazine Article
Files in This Item:
File Description SizeFormat 
B1-172_Linearizatifinite_Element_Method.pdfPre-Published version797.5 kBAdobe PDFView/Open
Open Access Information
Status open access
File Version Final Accepted Manuscript
Access
View full-text via PolyU eLinks SFX Query
Show simple item record

Page views

114
Last Week
1
Last month
Citations as of Apr 14, 2025

Downloads

101
Citations as of Apr 14, 2025

WEB OF SCIENCETM
Citations

1
Citations as of Oct 10, 2024

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.