Two-level stabilized finite element method for Stokes eigenvalue problem

DOI10.1007/s10483-012-1575-7zbMath1266.65192OpenAlexW1501317766MaRDI QIDQ2376173

Xinlong Feng, Pengzhan Huang, Yin-Nian He

Publication date: 21 June 2013

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-012-1575-7

zbMATH Keywords

lowest equal-order pairstabilized methodtwo-level methodStokes eigen problem

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 (13)

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 ⋮ Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations ⋮ Shape Optimization of the Stokes Eigenvalue Problem ⋮ Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method. ⋮ Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. ⋮ The multilevel mixed finite element discretizations based on local defect-correction for the Stokes eigenvalue problem ⋮ An efficient algorithm with stabilized finite element method for the Stokes eigenvalue problem ⋮ A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem ⋮ Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods ⋮ New conditions of stability and convergence of Stokes and Newton iterations for Navier-Stokes equations ⋮ A stabilized finite element method for the two-field and three-field Stokes eigenvalue problems ⋮ Two-level quadratic equal-order stabilized method for the Stokes eigenvalue problem

Uses Software

• FreeFem++

Cites Work

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