The lower/upper bound property of the Crouzeix-Raviart element eigenvalues on adaptive meshes

DOI10.1007/s10915-014-9855-8zbMath1320.65163OpenAlexW2006798241MaRDI QIDQ2341117

Yidu Yang, Hai Bi, Yuanyuan Yu, JiaYu Han

Publication date: 23 April 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-014-9855-8

zbMATH Keywords

eigenvalueupper bounderror boundlower boundeigenfunctionnumerical experimentconforming finite elementadaptive meshCrouzeix-Raviart element

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (7)

Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework ⋮ Asymptotic lower bounds for eigenvalues of the Steklov eigenvalue problem with variable coefficients. ⋮ Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations ⋮ A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems ⋮ An adaptive nonconforming finite element algorithm for Laplace eigenvalue problem ⋮ The lower bound property of the Morley element eigenvalues ⋮ Optimal quadratic element on rectangular grids for \(H^1\) problems

Uses Software

• iFEM

Cites Work

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