On estimators for eigenvalue/eigenvector approximations
From MaRDI portal
Publication:3055118
DOI10.1090/S0025-5718-08-02181-9zbMath1198.65221OpenAlexW2026620757MaRDI QIDQ3055118
Luka Grubišić, Jeffrey S. Ovall
Publication date: 7 November 2010
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02181-9
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)
Related Items
AN A POSTERIORI ERROR ESTIMATOR FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EIGENVALUE PROBLEMS ⋮ Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues ⋮ A Study on Anisotropic Mesh Adaptation for Finite Element Approximation of Eigenvalue Problems with Anisotropic Diffusion Operators ⋮ Rapid error reduction for block Gauss-Seidel based onp-hierarchical basis ⋮ An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods ⋮ A posteriori error analysis for nonconforming approximation of multiple eigenvalues ⋮ The rotation of eigenspaces of perturbed matrix pairs ⋮ Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations ⋮ Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters ⋮ An iterative adaptive finite element method for elliptic eigenvalue problems ⋮ An adaptive homotopy approach for non-selfadjoint eigenvalue problems ⋮ Benchmark results for testing adaptive finite element eigenvalue procedures ⋮ An adaptive finite element method with asymptotic saturation for eigenvalue problems ⋮ A posteriori error estimation of hierarchical type for the Schrödinger operator with inverse square potential ⋮ Robust error estimates for approximations of non-self-adjoint eigenvalue problems ⋮ A posteriori error estimates for elliptic eigenvalue problems using auxiliary subspace techniques ⋮ Smoothed-adaptive perturbed inverse iteration for elliptic eigenvalue problems ⋮ An optimal adaptive FEM for eigenvalue clusters ⋮ Benchmark results for testing adaptive finite element eigenvalue procedures. II: Conforming eigenvector and eigenvalue estimates.
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An optimal Poincaré inequality for convex domains
- A note on the Poincaré inequality for convex domains
- Small data oscillation implies the saturation assumption
- Theory and practice of finite elements.
- Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates
- On weakly formulated Sylvester equations and applications
- A Posteriori Error Estimates for the Finite Element Approximation of Eigenvalue Problems
- Function, Gradient, and Hessian Recovery Using Quadratic Edge‐Bump Functions
- On the Computation of Approximate Eigenvalues and Eigenfunctions of Elliptic Operators by Means of a Multi-Grid Method
- An optimal Poincaré inequality in $L^1$ for convex domains
- Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
- Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids
- Galerkin eigenvector approximations
- Data Oscillation and Convergence of Adaptive FEM
- A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems
- Error estimates for some quasi-interpolation operators
- Local problems on stars: A posteriori error estimators, convergence, and performance
- Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods
- On Eigenvalue and Eigenvector Estimates for Nonnegative Definite Operators
- ESTIMATES OF BEST CONSTANTS FOR WEIGHTED POINCARÉ INEQUALITIES ON CONVEX DOMAINS
- A posteriori error control for finite element approximations of elliptic eigenvalue problems
