A virtual element method for a biharmonic Steklov eigenvalue problem

DOI10.1515/apam-2018-0072zbMath1430.31002OpenAlexW2911365419MaRDI QIDQ2009513

Gabriel Monzón

Publication date: 28 November 2019

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2018-0072

zbMATH Keywords

error estimatesSteklov eigenvalue problemvirtual element method

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (9)

A C⁰ virtual element method for the biharmonic eigenvalue problem ⋮ A lowest-order free-stabilization virtual element method for the Laplacian eigenvalue problem ⋮ Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media ⋮ Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems ⋮ Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering ⋮ A virtual element method for the Laplacian eigenvalue problem in mixed form ⋮ \( \boldsymbol{H}^1\)-conforming virtual element method for the Laplacian eigenvalue problem in mixed form ⋮ A mixed virtual element method for the vibration problem of clamped Kirchhoff plate ⋮ A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem

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