A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems

DOI10.1007/s10444-019-09689-7zbMath1432.65166OpenAlexW2949349971WikidataQ127732890 ScholiaQ127732890MaRDI QIDQ2305544

Chunguang Xiong, Liang Wang, Fusheng Luo, Hui-bin Wu

Publication date: 11 March 2020

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-019-09689-7

zbMATH Keywords

a posteriori error estimatebiharmonic eigenvalue problemsa priori error estimateDGFEM

Mathematics Subject Classification ID

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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (10)

A C⁰ virtual element method for the biharmonic eigenvalue problem ⋮ Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems ⋮ Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering ⋮ The mixed discontinuous Galerkin method for transmission eigenvalues for anisotropic medium ⋮ An hp-mixed discontinuous Galerkin method for the biharmonic eigenvalue problem ⋮ Discontinuous Galerkin method for the interior transmission eigenvalue problem in inverse scattering theory ⋮ A mixed virtual element method for the vibration problem of clamped Kirchhoff plate ⋮ The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem ⋮ A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type ⋮ The a priori and a posteriori error estimates of DG method for the Steklov eigenvalue problem in inverse scattering

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