A multilevel Newton's method for the Steklov eigenvalue problem

DOI10.1007/s10444-022-09934-6zbMath1492.35398OpenAlexW4280566206MaRDI QIDQ2154705

Yanyan Li

Publication date: 20 July 2022

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-022-09934-6

zbMATH Keywords

finite element methodNewton's methodadaptive algorithmSteklov eigenvalue problemmultilevel iteration

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Partial differential equations of mathematical physics and other areas of application (35Q99) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem
• Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations.
• A two-grid discretization scheme for the Steklov eigenvalue problem
• A two-grid method of the non-conforming Crouzeix-Raviart element for the Steklov eigenvalue problem
• Asymptotic analysis and scaling of friction parameters
• A finite element solution of an added mass formulation for coupled fluid-solid vibrations
• Computing eigenpairs in augmented Krylov subspace produced by Jacobi-Davidson correction equation
• A multilevel Newton's method for eigenvalue problems.
• A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration
• A posteriori error estimates for nonconforming approximations of Steklov eigenvalue problems
• A posteriori error estimates for the Steklov eigenvalue problem
• A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods
• Convergence and quasi-optimality of adaptive FEM for Steklov eigenvalue problems
• A Multilevel Correction Type of Adaptive Finite Element Method for Eigenvalue Problems
• Numerical solution of saddle point problems
• Finite Element-Galerkin Approximation of the Eigenvalues and Eigenvectors of Selfadjoint Problems
• Vibrations of a pendulum consisting of a bob suspended from a wire: the method of integral equations
• Mixed and Hybrid Finite Element Methods
• Iterative Methods by Space Decomposition and Subspace Correction
• A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems
• Isoparametric finite-element approximation of a Steklov eigenvalue problem
• Multiscale Asymptotic Method for Steklov Eigenvalue Equations in Composite Media
• An HDG method for the Steklov eigenvalue problem
• A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering
• A type of multilevel method for the Steklov eigenvalue problem

This page was built for publication: A multilevel Newton's method for the Steklov eigenvalue problem