A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem

DOI10.1007/s10092-020-00391-5zbMath1476.65287OpenAlexW3121934762MaRDI QIDQ2035642

Liquan Mei, Gang Wang, Ji-An Meng

Publication date: 25 June 2021

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-020-00391-5

zbMATH Keywords

spectral approximationvirtual element methodtransmission eigenvalue problempolytopal mesh

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) 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) Linear operators defined by compactness properties (47B07) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

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, \( \boldsymbol{H}^1\)-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, Discontinuous Galerkin method for the interior transmission eigenvalue problem in inverse scattering theory, Nonconforming virtual element discretization for the transmission eigenvalue problem, A \(C^1-C^0\) conforming virtual element discretization for the transmission eigenvalue problem

Uses Software

• Algorithm 922

Cites Work

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