A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator
DOI10.1007/s10092-021-00412-xzbMath1486.65254arXiv2008.13314OpenAlexW3159298755MaRDI QIDQ2044081
Publication date: 4 August 2021
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.13314
PDEs in connection with fluid mechanics (35Q35) Estimates of eigenvalues in context of PDEs (35P15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Error bounds for boundary value problems involving PDEs (65N15) 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)
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Cites Work
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- A mixed virtual element method for a nonlinear Brinkman model of porous media flow
- Perturbation theory for linear operators.
- Virtual element for the buckling problem of Kirchhoff-Love plates
- A linear virtual element method for the Kirchhoff plate buckling problem
- A virtual element method for the Laplacian eigenvalue problem in mixed form
- The \(p\)- and \(hp\)-versions of the virtual element method for elliptic eigenvalue problems
- A virtual element method for the acoustic vibration problem
- Mixed discontinuous Galerkin approximation of the elasticity eigenproblem
- Mixed virtual element methods for general second order elliptic problems on polygonal meshes
- Basic principles of mixed Virtual Element Methods
- Finite element approximation of eigenvalue problems
- Divergence free virtual elements for the stokes problem on polygonal meshes
- On spectral approximation. Part 1. The problem of convergence
- On spectral approximation. Part 2. Error estimates for the Galerkin method
- Virtual element method for second-order elliptic eigenvalue problems
- A mixed virtual element method for the Navier–Stokes equations
- A mixed virtual element method for the pseudostress–velocity formulation of the Stokes problem
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Mixed Finite Element Methods and Applications
- The Hitchhiker's Guide to the Virtual Element Method
- Symmetric and Nonsymmetric Discontinuous Galerkin Methods for a Pseudostress Formulation of the Stokes Spectral Problem
- The nonconforming Virtual Element Method for eigenvalue problems
- A virtual element method for the Steklov eigenvalue problem
- A mixed virtual element method for the Brinkman problem
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations
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