Journal of scientific computing, 2015-11, Vol.65 (2), p.698-714
2015
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Details
- Autor(en) / Beteiligte
- Titel
- The Inverse Power Method for the p(x)-Laplacian Problem
- Ist Teil von
- Journal of scientific computing, 2015-11, Vol.65 (2), p.698-714
- Ort / Verlag
- New York: Springer US
- Erscheinungsjahr
- 2015
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- 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.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0885-7474eISSN: 1573-7691DOI: 10.1007/s10915-015-9982-xTitel-ID: cdi_proquest_journals_2918312764
- Format
- –
- Schlagworte
- Algorithms, Computational Mathematics and Numerical Analysis, Eigenvalues, Finite element method, Iterative methods, Mathematical analysis, Mathematical and Computational Engineering, Mathematical and Computational Physics, Mathematics, Mathematics and Statistics, Newton methods, Numerical analysis, Optimization, Theoretical