Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method.

DOI10.1007/s10492-014-0061-7zbMath1340.65258OpenAlexW2046881738MaRDI QIDQ464715

Pengzhan Huang

Publication date: 29 October 2014

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143868

zbMATH Keywords

finite elementnumerical testssuperconvergenceprojection methodleast squares methodlowest equal-order pairstabilized methodStokes eigenvalue problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) 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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (2)

Superconvergence of the finite element method for the Stokes eigenvalue problem ⋮ A superconvergence result of the natural convection equations

Uses Software

• FreeFem++

Cites Work

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• Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem
• A local superconvergence analysis of the finite element method for the Stokes equations by local projections
• Enhancing finite element approximation for eigenvalue problems by projection method
• Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method.
• Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods
• Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems
• Superconvergence of finite volume methods for the second-order elliptic problem
• Two-level stabilized finite element method for Stokes eigenvalue problem
• Superconvergence by \(L^2\)-projection for a stabilized finite volume method for the stationary Navier-Stokes equations
• A stabilized finite element method based on two local Gauss integrations for the Stokes equations
• Asymptotic expansions and extrapolations of eigenvalues for the Stokes problem by mixed finite element methods
• Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh L ² projection
• Superconvergence of finite volume methods for the Stokes equations
• Superconvergence of discontinuous Galerkin finite element method for the stationary Navier-Stokes equations
• Penalty finite element approximations for the Stokes equations by L² projection
• An Interior Estimate of Superconvergence for Finite Element Solutions for Second-Order Elliptic Problems on Quasi-uniform Meshes by Local Projections
• Superconvergence of nonconforming finite element method for the Stokes equations
• Superconvergence of Finite Element Approximations for the Stokes Problem by Projection Methods
• Superconvergence for the Gradient of Finite Element Approximations byL²Projections
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
• A posteriori estimates for the Stokes eigenvalue problem

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