Spectral distribution of preconditioned elliptic operators
DOI10.1080/01630569308816507zbMath0805.47043OpenAlexW2040349096MaRDI QIDQ4293284
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
eigenvalue distributionnon-selfadjoint elliptic operatorssingular value distributioncollectively compact operatorsconvergence behavior of the conjugate gradient methodfinite element discretizations of elliptic boundary value problems
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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