Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/98654
| DC Field | Value | Language |
|---|---|---|
| dc.contributor | Department of Applied Mathematics | en_US |
| dc.creator | Li, B | en_US |
| dc.creator | Sun, W | en_US |
| dc.date.accessioned | 2023-05-10T02:00:54Z | - |
| dc.date.available | 2023-05-10T02:00:54Z | - |
| dc.identifier.issn | 0036-1429 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10397/98654 | - |
| dc.language.iso | en | en_US |
| dc.publisher | Society for Industrial and Applied Mathematics | en_US |
| dc.rights | © 2017 Society for Industrial and Applied Mathematics | en_US |
| dc.rights | The following publication Li, B., & Sun, W. (2017). Maximal regularity of fully discrete finite element solutions of parabolic equations. SIAM Journal on Numerical Analysis, 55(2), 521-542 is available at https://doi.org/10.1137/16M1071912. | en_US |
| dc.subject | Nonlinear parabolic equations | en_US |
| dc.subject | BDF methods | en_US |
| dc.subject | Discrete maximal parabolic regularity | en_US |
| dc.subject | Maximum-norm error analysis | en_US |
| dc.subject | Energy technique | en_US |
| dc.subject | Time-dependent norms | en_US |
| dc.title | Maximal regularity of fully discrete finite element solutions of parabolic equations | en_US |
| dc.type | Journal/Magazine Article | en_US |
| dc.identifier.spage | 521 | en_US |
| dc.identifier.epage | 542 | en_US |
| dc.identifier.volume | 55 | en_US |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.doi | 10.1137/16M1071912 | en_US |
| dcterms.abstract | We establish the maximal lp-regularity for fully discrete finite element solutions of parabolic equations with time-dependent Lipschitz continuous coefficients. The analysis is based on a discrete lp(W1,q) estimate together with a duality argument and a perturbation method. Optimalorder error estimates of fully discrete finite element solutions in the norm of lp(Lq) follows immediately. | en_US |
| dcterms.accessRights | open access | en_US |
| dcterms.bibliographicCitation | SIAM journal on numerical analysis, 2017, v. 55, no. 2, p. 521-542 | en_US |
| dcterms.isPartOf | SIAM journal on numerical analysis | en_US |
| dcterms.issued | 2017 | - |
| dc.identifier.scopus | 2-s2.0-85019008154 | - |
| dc.identifier.eissn | 1095-7170 | en_US |
| dc.description.validate | 202305 bcch | en_US |
| dc.description.oa | Version of Record | en_US |
| dc.identifier.FolderNumber | AMA-0521 | - |
| dc.description.fundingSource | Others | en_US |
| dc.description.fundingText | NSFC; Alexander von Humboldt Foundation | en_US |
| dc.description.pubStatus | Published | en_US |
| dc.identifier.OPUS | 6745018 | - |
| dc.description.oaCategory | VoR allowed | en_US |
| Appears in Collections: | Journal/Magazine Article | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 16m1071912.pdf | 257.33 kB | Adobe PDF | View/Open |
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