New expansions of numerical eigenvalues by Wilson's element

DOI10.1016/j.cam.2008.07.019zbMath1165.65070OpenAlexW2004570851MaRDI QIDQ1004013

Hung-Tsai Huang, Qun Lin, Zi Cai Li

Publication date: 2 March 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.07.019

zbMATH Keywords

numerical experimentsLaplace operatoreigenfunctionsRichardson extrapolationglobal superconvergenceWilson's elementeigenvalue error expansionfinite element eigenvalue problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (10)

Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem ⋮ New Fourth Order Postprocessing Techniques for Plate Bending Eigenvalues by Morley Element ⋮ The correction operator for the canonical interpolation operator of the Adini element and the lower bounds of eigenvalues ⋮ The extrapolation of numerical eigenvalues by finite elements for differential operators ⋮ Eigenvalue approximations from below using Morley elements ⋮ Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods ⋮ Nonconforming finite element analysis for Poisson eigenvalue problem ⋮ An extended family of nonconforming quasi-Wilson elements for solving elasticity problem ⋮ Lower spectral bounds by Wilson's brick discretization ⋮ Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fourth order eigenvalue approximation by extrapolation on domains with reentrant corners
• New expansions of numerical eigenvalues by finite elements
• Asymptotic error expansion and Richardson extrapolation for linear finite elements
• Approximation in variationally posed eigenvalue problems
• Nonconforming finite element methods for eigenvalue problems in linear plate theory
• Superconvergence analysis and error expansion for the Wilson nonconforming finite element
• Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems. I: Improved error bounds for eigenfunctions
• Asymptotic lower bounds for the frequencies of certain polygonal membranes
• New expansions of numerical eigenvalues for $-\Delta u=\lambda \rho u$ by nonconforming elements
• Estimates for the Errors in Eigenvalue and Eigenvector Approximation by Galerkin Methods, with Particular Attention to the Case of Multiple Eigenvalues
• Finite Element-Galerkin Approximation of the Eigenvalues and Eigenvectors of Selfadjoint Problems
• Eigenvalue Approximation by Mixed and Hybrid Methods
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
• Convergence of Approximation Methods to Compute Eigenelements of Linear Operations

This page was built for publication: New expansions of numerical eigenvalues by Wilson's element