Investigations on two kinds of two-grid mixed finite element methods for the elliptic eigenvalue problem

DOI10.1016/j.camwa.2012.07.009zbMath1268.65157OpenAlexW2039771152MaRDI QIDQ356217

Xinlong Feng, Zhifeng Weng, Shuying Zhai

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.07.009

zbMATH Keywords

error estimateselliptic eigenvalue problemtwo-grid methodlowest order element pairnew mixed finite element method

Mathematics Subject Classification ID

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 (6)

Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. ⋮ A new nonconforming mixed finite element scheme for second order eigenvalue problem ⋮ An efficient algorithm with stabilized finite element method for the Stokes eigenvalue problem ⋮ A two-grid stabilized mixed finite element method for semilinear elliptic equations ⋮ WO-GRID METHOD FOR BURGERS’ EQUATION BY A NEW MIXED FINITE ELEMENT SCHEME ⋮ Two-grid methods for miscible displacement problem by Galerkin methods and mixed finite-element methods

Uses Software

• FreeFem++

Cites Work

• Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem
• Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem
• A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems
• Fourth order eigenvalue approximation by extrapolation on domains with reentrant corners
• Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods
• Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method
• Generalized Rayleigh quotient and finite element two-grid discretization schemes
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Two-level Picard and modified Picard methods for the Navier-Stokes equations
• Two-level stabilized finite element method for Stokes eigenvalue problem
• Asymptotic expansions and extrapolations of eigenvalues for the Stokes problem by mixed finite element methods
• Acceleration of a two-grid method for eigenvalue problems
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair
• Finite Element-Galerkin Approximation of the Eigenvalues and Eigenvectors of Selfadjoint Problems
• Eigenvalue Approximation by Mixed and Hybrid Methods
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• A Two-Level Method with Backtracking for the Navier--Stokes Equations
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• A two-grid discretization scheme for eigenvalue problems
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• A Two-Level Method for the Discretization of Nonlinear Boundary Value Problems
• A Two-Grid Discretization Scheme for Semilinear Elliptic Eigenvalue Problems
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