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- Publisher Website: 10.1515/cmam-2016-0032
- Scopus: eid_2-s2.0-85008191169
- WOS: WOS:000391208600007
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Article: A convergent adaptive finite element method for cathodic protection
| Title | A convergent adaptive finite element method for cathodic protection |
|---|---|
| Authors | |
| Keywords | Adaptive Finite Element Method A Posteriori Error Estimate Nonlinear Boundary Condition Cathodic Protection Convergence |
| Issue Date | 2017 |
| Citation | Computational Methods in Applied Mathematics, 2017, v. 17, n. 1, p. 105-120 How to Cite? |
| Abstract | © 2017 by De Gruyter 2017. In this work, we propose and analyze an adaptive finite element method for a steady-state diffusion equation with a nonlinear boundary condition arising in cathodic protection. Under a general assumption on the marking strategy, we show that the algorithm generates a sequence of discrete solutions that converges strongly to the exact solution in H1 (Ω) and the sequence of error estimators has a vanishing limit. Numerical results show clearly the convergence and efficiency of the adaptive algorithm. |
| Persistent Identifier | http://hdl.handle.net/10722/286935 |
| ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 0.607 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, Guanglian | - |
| dc.contributor.author | Xu, Yifeng | - |
| dc.date.accessioned | 2020-09-07T11:46:03Z | - |
| dc.date.available | 2020-09-07T11:46:03Z | - |
| dc.date.issued | 2017 | - |
| dc.identifier.citation | Computational Methods in Applied Mathematics, 2017, v. 17, n. 1, p. 105-120 | - |
| dc.identifier.issn | 1609-4840 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/286935 | - |
| dc.description.abstract | © 2017 by De Gruyter 2017. In this work, we propose and analyze an adaptive finite element method for a steady-state diffusion equation with a nonlinear boundary condition arising in cathodic protection. Under a general assumption on the marking strategy, we show that the algorithm generates a sequence of discrete solutions that converges strongly to the exact solution in H1 (Ω) and the sequence of error estimators has a vanishing limit. Numerical results show clearly the convergence and efficiency of the adaptive algorithm. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Computational Methods in Applied Mathematics | - |
| dc.subject | Adaptive Finite Element Method | - |
| dc.subject | A Posteriori Error Estimate | - |
| dc.subject | Nonlinear Boundary Condition | - |
| dc.subject | Cathodic Protection | - |
| dc.subject | Convergence | - |
| dc.title | A convergent adaptive finite element method for cathodic protection | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1515/cmam-2016-0032 | - |
| dc.identifier.scopus | eid_2-s2.0-85008191169 | - |
| dc.identifier.volume | 17 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.spage | 105 | - |
| dc.identifier.epage | 120 | - |
| dc.identifier.eissn | 1609-9389 | - |
| dc.identifier.isi | WOS:000391208600007 | - |
| dc.identifier.issnl | 1609-4840 | - |