Computing the first eigenvalue of the p-Laplacian via the inverse power method.

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dc.contributor.authorBiezuner, Rodney Josué
dc.contributor.authorErcole, Grey
dc.contributor.authorMartins, Eder Marinho
dc.date.accessioned2012-12-05T15:50:55Z
dc.date.available2012-12-05T15:50:55Z
dc.date.issued2009
dc.description.abstractIn 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.pt_BR
dc.identifier.citationBIEZUNER, 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. 2012pt_BR
dc.identifier.issn00221236
dc.identifier.urihttp://www.repositorio.ufop.br/handle/123456789/1970
dc.language.isoen_USpt_BR
dc.rights.licenseO periódico Journal of Functional Analysis concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3305300201996.
dc.subjectp-Laplacianpt_BR
dc.subjectFirst eigenvaluept_BR
dc.subjectComparison principlept_BR
dc.subjectPower methodpt_BR
dc.titleComputing the first eigenvalue of the p-Laplacian via the inverse power method.pt_BR
dc.typeArtigo publicado em periodicopt_BR
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