scientific article; zbMATH DE number 7485187

zbMath1499.65637MaRDI QIDQ5862232

Fubiao Lin, Zhimin Zhang, Yidu Yang

Publication date: 7 March 2022

Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/787.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

error estimateseigenvalueslower boundsecond order elliptic equationnonconforming Crouzeix-Raviart element\(n\)-simplex

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods ⋮ A posterior error estimator and lower bound of a nonconforming finite element method ⋮ The lower/upper bound property of the Crouzeix-Raviart element eigenvalues on adaptive meshes

Cites Work

• A new class of Zienkiewicz-type non-conforming element in any dimensions
• The order-preserving convergence for spectral approximation of self-adjoint completely continuous operators
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• Elliptic partial differential equations of second order
• Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
• Nonconforming Finite Element Methods for the Equations of Linear Elasticity
• Linear Finite Element Methods for Planar Linear Elasticity
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
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