A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement

DOI10.1016/j.apnum.2012.11.004zbMath1262.65162OpenAlexW2017349071MaRDI QIDQ1939314

Jeffrey S. Ovall, Luka Grubišić, Randolph E. Bank

Publication date: 4 March 2013

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.11.004

zbMATH Keywords

finite element methodnumerical exampleseigenvalue problema posteriori error estimatesDirichlet LaplacianSchrödinger type operatordivergence type self-adjoint elliptic problems

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 (11)

A posteriori estimates using auxiliary subspace techniques ⋮ Computation of eigenvalues by numerical upscaling ⋮ An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods ⋮ A posteriori error analysis for nonconforming approximation of multiple eigenvalues ⋮ Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters ⋮ A posteriori error estimation of hierarchical type for the Schrödinger operator with inverse square potential ⋮ 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. ⋮ A posteriori eigenvalue error estimation for a Schrödinger operator with inverse square potential

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