A high accuracy nonconforming finite element scheme for Helmholtz transmission eigenvalue problem

DOI10.1007/s10915-020-01247-4zbMath1446.31004arXiv1910.00898OpenAlexW3034869261MaRDI QIDQ785549

Yingxia Xi, Shuo Zhang, Xia Ji

Publication date: 7 August 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00898

zbMATH Keywords

bi-Laplaciannonconforming finite element method

Mathematics Subject Classification ID

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)

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Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media ⋮ Discontinuous Galerkin method for the interior transmission eigenvalue problem in inverse scattering theory ⋮ An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations ⋮ A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem ⋮ Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains

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