A posteriori virtual element method for the acoustic vibration problem
DOI10.1007/s10444-022-10003-1OpenAlexW4320498466MaRDI QIDQ2692794
David Mora, Iván Velásquez, Gonzalo Rivera, Felipe Lepe
Publication date: 23 March 2023
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.12621
superconvergencea posteriori error estimatesvirtual element methodpolygonal meshesacoustic vibration problem
Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) 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) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Cites Work
- Unnamed Item
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- \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods
- A posteriori error estimates in finite element acoustic analysis
- A posteriori error estimates for a virtual element method for the Steklov eigenvalue problem
- A posteriori error estimates for the virtual element method
- A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem
- A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator
- A virtual element method for the Steklov eigenvalue problem allowing small edges
- Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems
- A virtual element method for the Laplacian eigenvalue problem in mixed form
- A posteriori error analysis of a mixed virtual element method for a nonlinear Brinkman model of porous media flow
- A mixed virtual element method for the vibration problem of clamped Kirchhoff plate
- The \(p\)- and \(hp\)-versions of the virtual element method for elliptic eigenvalue problems
- A virtual element method for the acoustic vibration problem
- A posteriori error estimates for Maxwell's eigenvalue problem
- Mixed virtual element methods for general second order elliptic problems on polygonal meshes
- A Superconvergence result for mixed finite element approximations of the eigenvalue problem
- Basic principles of mixed Virtual Element Methods
- A posteriori error analysis for nonconforming approximation of multiple eigenvalues
- Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form
- A Posteriori Error Estimates for the Finite Element Approximation of Eigenvalue Problems
- Mixed approximation of eigenvalue problems: A superconvergence result
- Virtual element method for second-order elliptic eigenvalue problems
- Residual-baseda posteriorierror estimation for the Maxwell’s eigenvalue problem
- A POSTERIORI ERROR ESTIMATORS FOR MIXED APPROXIMATIONS OF EIGENVALUE PROBLEMS
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Mixed Finite Element Methods and Applications
- Virtual Elements for the Transmission Eigenvalue Problem on Polytopal Meshes
- A priori and a posteriori error estimates for a virtual element method for the non-self-adjoint Steklov eigenvalue problem
- The nonconforming Virtual Element Method for eigenvalue problems
- Residuala posteriorierror estimation for the Virtual Element Method for elliptic problems
- A virtual element method for the Steklov eigenvalue problem
- A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations
- Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes
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