An aggregation-based two-grid method for multilevel block Toeplitz linear systems
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Publication:6191355
DOI10.1007/s10915-023-02434-9MaRDI QIDQ6191355
Publication date: 9 February 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
convergence analysisparameter selectionaggregation-based two-grid methodsmultilevel block Toeplitz systems
Iterative numerical methods for linear systems (65F10) Toeplitz, Cauchy, and related matrices (15B05)
Cites Work
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- Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids
- An aggregation-based algebraic multigrid method
- Multigrid methods for Toeplitz matrices
- Spectral and computational analysis of block Toeplitz matrices having nonnegative definite matrix-valued generating functions
- Matrix algebra preconditioners for multilevel Toeplitz matrices are not superlinear
- Exact formulae and matrix-less eigensolvers for block banded symmetric Toeplitz matrices
- Function-based block multigrid strategy for a two-dimensional linear elasticity-type problem
- A unifying approach to some old and new theorems on distribution and clustering
- Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
- Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids
- Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations
- Multigrid methods for block Toeplitz matrices with small size blocks
- A two‐grid SA‐AMG convergence bound that improves when increasing the polynomial degree
- Algebraic Theory of Two-Grid Methods
- On two‐grid convergence estimates
- Asymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices
- Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems
- Analysis of Generalized Pattern Searches
- Staggered discontinuous Galerkin methods for the incompressible Navier–Stokes equations: Spectral analysis and computational results
- Algebraic multigrid methods
- Multigrid Methods for Multilevel Circulant Matrices
- Conjugate Gradient Methods for Toeplitz Systems
- How to prove that a preconditioner cannot be superlinear
- Multigrid Methods for Symmetric Positive Definite Block Toeplitz Matrices with Nonnegative Generating Functions
- A note on the spectral distribution of toeplitz matrices
- Multigrid methods for block‐Toeplitz linear systems: convergence analysis and applications
- A multigrid method based on graph matching for convection–diffusion equations
- An Introduction to Iterative Toeplitz Solvers
- Spectral Analysis and Spectral Symbol of $d$-variate $\mathbb Q_{\boldsymbol p}$ Lagrangian FEM Stiffness Matrices
- A Symbol-Based Analysis for Multigrid Methods for Block-Circulant and Block-Toeplitz Systems
- Finite Elements