Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/95651
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Gui, X | en_US |
dc.creator | Li, B | en_US |
dc.creator | Wang, J | en_US |
dc.date.accessioned | 2022-09-27T02:46:32Z | - |
dc.date.available | 2022-09-27T02:46:32Z | - |
dc.identifier.issn | 0036-1429 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/95651 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2022 Society for Industrial and Applied Mathematics | en_US |
dc.rights | The following publication Gui, X., Li, B., & Wang, J. (2022). Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps. SIAM Journal on Numerical Analysis, 60(1), 312-338 is available at https://doi.org/10.1137/21M1402212. | en_US |
dc.subject | Error estimates | en_US |
dc.subject | Finite element methods | en_US |
dc.subject | Heat flow of harmonic maps | en_US |
dc.subject | Lumped mass | en_US |
dc.subject | Renormalization at nodes | en_US |
dc.title | Convergence of renormalized finite element methods for heat flow of harmonic maps | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 312 | en_US |
dc.identifier.epage | 338 | en_US |
dc.identifier.volume | 60 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.doi | 10.1137/21M1402212 | en_US |
dcterms.abstract | A linearly implicit renormalized lumped mass finite element method is considered for solving the equations describing heat flow of harmonic maps, of which the exact solution naturally satisfies the pointwise constraint |m| = 1. At every time level, the method first computes an auxiliary numerical solution by a linearly implicit lumped mass method and then renormalizes it at all finite element nodes before proceeding to the next time level. It is shown that such a renormalized finite element method has an error bound of O(T+ hr+1) for tensor-product finite elements of degree r ≽ 1. The proof of the error estimates is based on a geometric relation between the auxiliary and renormalized numerical solutions. The extension of the error analysis to triangular mesh is straightforward and discussed in the conclusion section. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on numerical analysis, 2022, v. 60, no. 1, p. 312-338 | en_US |
dcterms.isPartOf | SIAM journal on numerical analysis | en_US |
dcterms.issued | 2022 | - |
dc.identifier.scopus | 2-s2.0-85131327600 | - |
dc.identifier.ros | 2021003817 | - |
dc.identifier.eissn | 1095-7170 | en_US |
dc.description.validate | 202209 bchy | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | CDCF_2021-2022 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.fundingSource | Others | en_US |
dc.description.fundingText | National Natural Science Foundation of China | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 70246172 | - |
dc.description.oaCategory | VoR allowed | en_US |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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Gui_Convergence_Renormalized_Finite.pdf | 472.23 kB | Adobe PDF | View/Open |
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