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http://www.repositorio.ufop.br/jspui/handle/123456789/1970
Title: | Computing the first eigenvalue of the p-Laplacian via the inverse power method. |
Authors: | Biezuner, Rodney Josué Ercole, Grey Martins, Eder Marinho |
Keywords: | p-Laplacian First eigenvalue Comparison principle Power method |
Issue Date: | 2009 |
Citation: | BIEZUNER, R. J.; ERCOLE, G.; MARTINS, E. M. Computing the first eigenvalue of the p-Laplacian via the inverse power method. Journal of Functional Analysis, v. 257, n. 1, p. 243-270, 2009. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0022123609000445>. Acesso em: 03 dez. 2012 |
Abstract: | In this paper, we discuss a new method for computing the first Dirichlet eigenvalue of the p-Laplacian inspired by the inverse power method in finite dimensional linear algebra. The iterative technique is independent of the particular method used in solving the p-Laplacian equation and therefore can be made as efficient as the latter. The method is validated theoretically for any ball in Rn if p >1 and for any bounded domain in the particular case p = 2. For p >2 the method is validated numerically for the square. |
URI: | http://www.repositorio.ufop.br/handle/123456789/1970 |
ISSN: | 00221236 |
metadata.dc.rights.license: | O periódico Journal of Functional Analysis concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3305300201996. |
Appears in Collections: | DEMAT - Artigos publicados em periódicos |
Files in This Item:
File | Description | Size | Format | |
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ARTIGO_ComputingFirstEigenvalue.pdf | 279,91 kB | Adobe PDF | View/Open |
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