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Article: Adaptive finite element approximations of the first eigenpair associated with p-Laplacian
| Title | Adaptive finite element approximations of the first eigenpair associated with p-Laplacian |
|---|---|
| Authors | |
| Issue Date | 10-Feb-2024 |
| Publisher | Society for Industrial and Applied Mathematics |
| Citation | SIAM Journal on Scientific Computing, 2024 How to Cite? |
| Abstract | In this paper, we propose an adaptive finite element method for computing the first eigenpair of the p-Laplacian problem. We prove that starting from a fine initial mesh our proposed adaptive algorithm produces a sequence of discrete first eigenvalues that converges to the first eigenvalue of the continuous problem and the distance between discrete eigenfunctions and the normalized eigenfunction set with respect to the first eigenvalue in W1,p-norm also tends to zero. Extensive numerical examples are provided to show the effectiveness and efficiency. |
| Persistent Identifier | http://hdl.handle.net/10722/350696 |
| ISSN | 2023 Impact Factor: 3.0 2023 SCImago Journal Rankings: 1.803 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, Guanglian | - |
| dc.contributor.author | Li, Jing | - |
| dc.contributor.author | Merten, Julie | - |
| dc.contributor.author | Xu, Yifeng | - |
| dc.contributor.author | Zhu, Shengfeng | - |
| dc.date.accessioned | 2024-11-01T00:30:32Z | - |
| dc.date.available | 2024-11-01T00:30:32Z | - |
| dc.date.issued | 2024-02-10 | - |
| dc.identifier.citation | SIAM Journal on Scientific Computing, 2024 | - |
| dc.identifier.issn | 1064-8275 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/350696 | - |
| dc.description.abstract | <p>In this paper, we propose an adaptive finite element method for computing the first eigenpair of the p-Laplacian problem. We prove that starting from a fine initial mesh our proposed adaptive algorithm produces a sequence of discrete first eigenvalues that converges to the first eigenvalue of the continuous problem and the distance between discrete eigenfunctions and the normalized eigenfunction set with respect to the first eigenvalue in W1,p-norm also tends to zero. Extensive numerical examples are provided to show the effectiveness and efficiency.<br></p> | - |
| dc.language | eng | - |
| dc.publisher | Society for Industrial and Applied Mathematics | - |
| dc.relation.ispartof | SIAM Journal on Scientific Computing | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.title | Adaptive finite element approximations of the first eigenpair associated with p-Laplacian | - |
| dc.type | Article | - |
| dc.description.nature | published_or_final_version | - |
| dc.identifier.eissn | 1095-7197 | - |
| dc.identifier.issnl | 1064-8275 | - |