Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains

DOI10.1007/s11075-019-00760-4zbMath1465.65155arXiv1610.08647OpenAlexW2954026694WikidataQ127595240 ScholiaQ127595240MaRDI QIDQ2181665

Jing An, Zhimin Zhang, Hui-yuan Li

Publication date: 19 May 2020

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08647

zbMATH Keywords

spectral-Galerkin approximationbiharmonic eigenvalue problempole conditionoptimal error analysiscircular/spherical/elliptical domains

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (5)

Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems ⋮ An efficient spectral-Galerkin method for elliptic equations in 2D complex geometries ⋮ A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems ⋮ A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type ⋮ A priori and a posteriori error analysis of \textit{hp} spectral element discretization for optimal control problems with elliptic equations

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