Convergence of inverse power method for first eigenvalue of \(p\)-Laplace operator. (English) Zbl 1377.35119
Summary: In this article, convergence of an iterative scheme to approximate the first eigenfunction and related eigenvalue for \(p\)-Laplace operator is shown. Moreover, numerical examples are presented that show the efficiency and accuracy of the algorithm.
MSC:
| 35J92 | Quasilinear elliptic equations with \(p\)-Laplacian |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 35P15 | Estimates of eigenvalues in context of PDEs |
| 47J10 | Nonlinear spectral theory, nonlinear eigenvalue problems |
References:
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| [2] | DOI: 10.1016/j.jfa.2009.01.023 · Zbl 1172.35047 · doi:10.1016/j.jfa.2009.01.023 |
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| [5] | Lindqvist P., A nonlinear eigenvalue problem. Lecture Notes · Zbl 1160.35058 |
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