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EnglishWe present an inverse power method for the computation of the first homogeneous eigenpair of the p(x)-Laplacian problem. The operators are discretized by the finite element method. The inner minimization problems are solved by a globally convergent inexact Newton method. Numerical comparisons are made, in one- and two-dimensional domains, with other results present in literature for the constant case p(x)=p and with other minimization techniques (namely, the nonlinear conjugate gradient) for the p(x) variable case.
| Titolo: | The Inverse Power Method for the p(x)-Laplacian Problem |
| Autori: | |
| Data di pubblicazione: | 2015 |
| Rivista: | |
| Abstract: | We present an inverse power method for the computation of the first homogeneous eigenpair of the p(x)-Laplacian problem. The operators are discretized by the finite element method. The inner minimization problems are solved by a globally convergent inexact Newton method. Numerical comparisons are made, in one- and two-dimensional domains, with other results present in literature for the constant case p(x)=p and with other minimization techniques (namely, the nonlinear conjugate gradient) for the p(x) variable case. |
| Handle: | http://hdl.handle.net/11562/929610 |
| Appare nelle tipologie: | 01.01 Articolo in Rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| preCZ15.pdf | articolo principale | Documento in Post-print |  | Open Access Visualizza/Apri |
http://hdl.handle.net/11562/929610
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