Fully Computable Error Bounds for Eigenvalue Problem

zbMath1412.65200arXiv1601.01561MaRDI QIDQ4620435

Qichen Hong, Meiling Yue, Ning Zhang, Hehu Xie

Publication date: 8 February 2019

Full work available at URL: https://arxiv.org/abs/1601.01561

zbMATH Keywords

eigenvalue problemguaranteed upper boundcomplementary methodcomputable error estimateguaranteed lower bound

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Acceleration of convergence in numerical analysis (65B99)

Related Items (6)

Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian ⋮ An accurate a posteriori error estimator for the Steklov eigenvalue problem and its applications ⋮ Fully computable a posteriori error bounds for eigenfunctions ⋮ An asymptotically exact a posteriori error estimator for non-selfadjoint Steklov eigenvalue problem ⋮ Lower Bounds of Eigenvalues of the Stokes Operator by Nonconforming Finite Elements on Local Quasi-Uniform Grids ⋮ Cascadic adaptive finite element method for nonlinear eigenvalue problem based on complementary approach

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