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

Biezuner, Rodney JosuéErcole, GreyMartins, Eder Marinho2012-12-052012-12-052009BIEZUNER, 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. 201200221236http://www.repositorio.ufop.br/handle/123456789/1970In 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.en-USp-LaplacianFirst eigenvalueComparison principlePower methodComputing the first eigenvalue of the p-Laplacian via the inverse power method.Artigo publicado em periodicoO periódico Journal of Functional Analysis concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3305300201996.