Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93860
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Li, B | en_US |
dc.date.accessioned | 2022-08-03T01:23:58Z | - |
dc.date.available | 2022-08-03T01:23:58Z | - |
dc.identifier.issn | 0036-1429 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/93860 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2021 Society for Industrial and Applied Mathematics | en_US |
dc.rights | The following publication Li, B. (2021). Convergence of Dziuk's semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements. SIAM Journal on Numerical Analysis, 59(3), 1592-1617 is available at https://doi.org/10.1137/20M136935X | en_US |
dc.subject | Convergence | en_US |
dc.subject | Error estimate | en_US |
dc.subject | Evolving surface | en_US |
dc.subject | Finite element method | en_US |
dc.subject | Mean curvature flow | en_US |
dc.title | Convergence of Dziuk's semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 1592 | en_US |
dc.identifier.epage | 1617 | en_US |
dc.identifier.volume | 59 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.doi | 10.1137/20M136935X | en_US |
dcterms.abstract | Dziuk's surface finite element method (FEM) for mean curvature flow has had a significant impact on the development of parametric and evolving surface FEMs for surface evolution equations and curvature flows. However, the convergence of Dziuk's surface FEM for mean curvature flow of closed surfaces still remains open since it was proposed in 1990. In this article, we prove convergence of Dziuk's semidiscrete surface FEM with high-order finite elements for mean curvature flow of closed surfaces. The proof utilizes the matrix-vector formulation of evolving surface FEMs and a monotone structure of the nonlinear discrete surface Laplacian proved in this paper. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on numerical analysis, 2021, v. 59, no. 3, p. 1592-1617 | en_US |
dcterms.isPartOf | SIAM journal on numerical analysis | en_US |
dcterms.issued | 2021 | - |
dc.identifier.scopus | 2-s2.0-85109980070 | - |
dc.identifier.eissn | 1095-7170 | en_US |
dc.description.validate | 202208 bcfc | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | AMA-0038 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 54044761 | - |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
20m136935x.pdf | 417.38 kB | Adobe PDF | View/Open |
Page views
51
Last Week
1
1
Last month
Citations as of May 12, 2024
Downloads
34
Citations as of May 12, 2024
SCOPUSTM
Citations
9
Citations as of May 16, 2024
WEB OF SCIENCETM
Citations
9
Citations as of May 16, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.