Spectral distribution of preconditioned elliptic operators

DOI10.1080/01630569308816507zbMath0805.47043OpenAlexW2040349096MaRDI QIDQ4293284

Charles I. Goldstein

Publication date: 26 May 1994

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569308816507

zbMATH Keywords

eigenvalue distributionnon-selfadjoint elliptic operatorssingular value distributioncollectively compact operatorsconvergence behavior of the conjugate gradient methodfinite element discretizations of elliptic boundary value problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) General theory of partial differential operators (47F05)

Cites Work

• An iterative method for the Helmholtz equation
• On the multi-level splitting of finite element spaces
• Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
• Preconditioning second-order elliptic operators: Condition numbers and the distribution of the singular values
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Preconditioning and Boundary Conditions
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
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