Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem

DOI10.1016/j.apnum.2010.12.007zbMath1209.65126OpenAlexW1982567806MaRDI QIDQ623281

Hongtao Chen, Shanghui Jia, Hehu Xie

Publication date: 14 February 2011

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.12.007

zbMATH Keywords

convergenceRayleigh quotientmixed finite element methodpostprocessingRaviart-Thomas elementsuperclosenessfirst eigenpairsecond-order elliptic 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

Superconvergence of the finite element method for the Stokes eigenvalue problem, Two-level stabilized finite element method for Stokes eigenvalue problem, The two-level stabilized finite element method based on multiscale enrichment for the Stokes eigenvalue problem, Investigations on two kinds of two-grid mixed finite element methods for the elliptic eigenvalue problem, A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem, Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem, A virtual element method for the elasticity problem allowing small edges, A posteriori error estimator for eigenvalue problems by mixed finite element method, 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, Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation, An efficient algorithm with stabilized finite element method for the Stokes eigenvalue problem, Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods, Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem, Postprocessing for the Raviart--Thomas mixed finite element approximation of the eigenvalue problem

Uses Software

• DOLFIN

Cites Work

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• DOLFIN
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