A priori and a posteriori error estimates for a virtual element method for the non-self-adjoint Steklov eigenvalue problem

DOI10.1093/imanum/drab079zbMath1502.65182OpenAlexW3211051127MaRDI QIDQ5042904

Liquan Mei, Gang Wang, Ying Wang, Ji-An Meng

Publication date: 26 October 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drab079

zbMATH Keywords

error estimatespolytopal meshesvirtual element methodnon-self-adjoint Steklov eigenvalue problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

\( \boldsymbol{H}^1\)-conforming virtual element method for the Laplacian eigenvalue problem in mixed form ⋮ Virtual element method for the modified transmission eigenvalue problem in inverse scattering theory ⋮ A posteriori virtual element method for the acoustic vibration problem ⋮ Analytical and numerical assessments of boundary variations in Steklov eigenvalue problems

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