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

Gonzalo Rivera, Felipe Lepe

Publication date: 4 August 2021

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13314

zbMATH Keywords

error estimatesmixed virtual element methodLaplace eigenvalue problem

Mathematics Subject Classification ID

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)

Related Items (6)

\( \boldsymbol{H}^1\)-conforming virtual element method for the Laplacian eigenvalue problem in mixed form ⋮ A \(C^0\)-nonconforming virtual element methods for the vibration and buckling problems of thin plates ⋮ Displacement‐pseudostress formulation for the linear elasticity spectral problem ⋮ A posteriori analysis for a mixed formulation of the Stokes spectral problem ⋮ VEM discretization allowing small edges for the reaction–convection–diffusion equation: source and spectral problems ⋮ A posteriori virtual element method for the acoustic vibration problem

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