Multigrid Method for Nonlinear Eigenvalue Problems Based on Newton Iteration

In this paper, a novel multigrid method based on Newton iteration is proposed to solve nonlinear eigenvalue problems. Instead of handling the eigenvalue λ and eigenfunction u separately, we treat the eigenpair ( λ , u ) as one element in a product space R × H 0 1 ( Ω ) . Then in the presented multig...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 94; no. 2; p. 42
Main Authors:	Xu, Fei, Xie, Manting, Yue, Meiling
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.02.2023 Springer Nature B.V
Subjects:	Algorithms Approximation Boundary value problems Computational mathematics Computational Mathematics and Numerical Analysis Convergence Efficiency Eigenvalues Eigenvectors Estimates Finite element analysis Iterative methods Lagrange multiplier Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Nonlinear equations Theoretical Newton iteration Nonlinear eigenvalue problems Multigrid method
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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