Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem
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Publication:897465
DOI10.1007/s10444-014-9386-8zbMath1330.76080OpenAlexW1976883368MaRDI QIDQ897465
Publication date: 7 December 2015
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-014-9386-8
Stokes and related (Oseen, etc.) flows (76D07) 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) Finite element methods applied to problems in fluid mechanics (76M10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items (8)
Superconvergence of the finite element method for the Stokes eigenvalue problem ⋮ The two-grid and multigrid discretizations of the \(C^0\)IPG method for biharmonic eigenvalue problem ⋮ A multigrid discretization scheme based on the shifted inverse iteration for the Steklov eigenvalue problem in inverse scattering ⋮ The two-grid discretization of Ciarlet-Raviart mixed method for biharmonic eigenvalue problems ⋮ 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 ⋮ A stabilized finite element method for the two-field and three-field Stokes eigenvalue problems ⋮ Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem
Cites Work
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- A two-scale discretization scheme for mixed variational formulation of eigenvalue problems
- Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems
- Local projection stabilized Galerkin approximations for the generalized Stokes problem
- Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions
- Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method.
- Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems
- The Dirichlet problem for the Stokes system on Lipschitz domains
- A finite element pressure gradient stabilization for the Stokes equations based on local projections
- Local and parallel finite element algorithms for eigenvalue problems
- A numerical existence proof of nodal lines for the first eigenfunction of the plate equation
- Local projection stabilization of equal order interpolation applied to the Stokes problem
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Uniformly stable mixedhp-finite elements on multilevel adaptive grids with hanging nodes
- A unified convergence analysis for local projection stabilisations applied to the Oseen problem
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Analysis of Some Finite Elements for the Stokes Problem
- Finite Element Methods for Navier-Stokes Equations
- Finite Element-Galerkin Approximation of the Eigenvalues and Eigenvectors of Selfadjoint Problems
- Eigenvalue Approximation by Mixed and Hybrid Methods
- Mixed and Hybrid Finite Element Methods
- A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems
- Iterative Methods by Space Decomposition and Subspace Correction
- Approximation of the Eigenvalues of a Nonselfadjoint Operator Arising in the Study of the Stability of Stationary Solutions of the Navier–Stokes Equations
- Iterated Galerkin Method for Eigenvalue Problems
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- A two-grid discretization scheme for eigenvalue problems
- Superconvergence Postprocessing for Eigenvalues
- Superconvergence of a 3D finite element method for stationary Stokes and Navier‐Stokes problems
- Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
- A multi-level correction scheme for eigenvalue problems
- A posteriori estimates for the Stokes eigenvalue problem
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