Spectral discretization errors in filtered subspace iteration

DOI10.1090/mcom/3483zbMath1436.65067arXiv1709.06694OpenAlexW2964264146WikidataQ127455496 ScholiaQ127455496MaRDI QIDQ5235097

Luka Grubišić, Jay Gopalakrishnan, Jeffrey S. Ovall

Publication date: 7 October 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06694

zbMATH Keywords

resolventsinfinite-dimensional spacesdiscretization of the resolventfiltered subspace iteration

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Applications of operator theory in numerical analysis (47N40)

Related Items (9)

Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides ⋮ Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems ⋮ Optimal Control of Parabolic Equations – A Spectral Calculus Based Approach ⋮ Sharp Majorization-Type Cluster Robust Bounds for Block Filters and Eigensolvers ⋮ Solving elliptic eigenproblems with adaptive multimesh \(hp\)-FEM ⋮ FEAST for Differential Eigenvalue Problems ⋮ Analysis of FEAST spectral approximations using the DPG discretization ⋮ Rational Spectral Filters with Optimal Convergence Rate ⋮ An algorithm for identifying eigenvectors exhibiting strong spatial localization

Uses Software

• FEAST
• NGSolve

Cites Work

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