The effect of approximate coarsest-level solves on the convergence of multigrid V-cycle methods
Fuente:
arXiv
Saved in:
| Main Authors: | Vacek, Petr, Carson, Erin, Soodhalter, Kirk M. |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Mixed precision multigrid with smoothing based on incomplete Cholesky factorization
by: Vacek, Petr, et al.
Published: (2025)
by: Vacek, Petr, et al.
Published: (2025)
A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level
by: Vacek, Petr, et al.
Published: (2024)
by: Vacek, Petr, et al.
Published: (2024)
Chebyshev HOPGD with sparse grid sampling for parameterized linear systems
by: Correnty, Siobhán, et al.
Published: (2023)
by: Correnty, Siobhán, et al.
Published: (2023)
Factorized sparse approximate inverse preconditioning for singular M-matrices
by: Bick, Katherina, et al.
Published: (2025)
by: Bick, Katherina, et al.
Published: (2025)
On Optimal Algebraic Multigrid Methods
by: Ramos, Luis García, et al.
Published: (2019)
by: Ramos, Luis García, et al.
Published: (2019)
Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces
by: Strehlow, Arne, et al.
Published: (2024)
by: Strehlow, Arne, et al.
Published: (2024)
Chebyshev smoothing with adaptive block-FSAI preconditioners for the multilevel solution of higher-order problems
by: Recio, Pablo Jiménez, et al.
Published: (2025)
by: Recio, Pablo Jiménez, et al.
Published: (2025)
Multigrid Primer: Basic Principles
by: McCormick, Stephen F., et al.
Published: (2026)
by: McCormick, Stephen F., et al.
Published: (2026)
MGCNN: a learnable multigrid solver for sparse linear systems from PDEs on structured grids
by: Xie, Yan, et al.
Published: (2023)
by: Xie, Yan, et al.
Published: (2023)
Riemannian multigrid line search for low-rank problems
by: Sutti, Marco, et al.
Published: (2020)
by: Sutti, Marco, et al.
Published: (2020)
H2-MG: A multigrid method for hierarchical rank structured matrices
by: Sushnikova, Daria, et al.
Published: (2025)
by: Sushnikova, Daria, et al.
Published: (2025)
Accelerating non-local exchange in generalized optimized Schwarz methods
by: Atchekzai, Roxane, et al.
Published: (2024)
by: Atchekzai, Roxane, et al.
Published: (2024)
Two-level nonlinear Schwarz methods - a parallel implementation with application to nonlinear elasticity and incompressible flow problems
by: Ho, Kyrill, et al.
Published: (2026)
by: Ho, Kyrill, et al.
Published: (2026)
Analysis of injection operators in multigrid solvers for hybridized discontinuous Galerkin methods
by: Lu, Peipei, et al.
Published: (2021)
by: Lu, Peipei, et al.
Published: (2021)
Inexact inner-outer Golub-Kahan bidiagonalization method: A relaxation strategy
by: Darrigrand, Vincent, et al.
Published: (2022)
by: Darrigrand, Vincent, et al.
Published: (2022)
Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems
by: Ali, Ahsan, et al.
Published: (2024)
by: Ali, Ahsan, et al.
Published: (2024)
Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies
by: Ali, Ahsan, et al.
Published: (2025)
by: Ali, Ahsan, et al.
Published: (2025)
Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry
by: Bachmayr, Markus, et al.
Published: (2024)
by: Bachmayr, Markus, et al.
Published: (2024)
Can Symmetric Positive Definite (SPD) coarse spaces perform well for indefinite Helmholtz problems?
by: Dolean, Victorita, et al.
Published: (2024)
by: Dolean, Victorita, et al.
Published: (2024)
Schwarz preconditioner with $H_k$-GenEO coarse space for the indefinite Helmholtz problem
by: Dolean, Victorita, et al.
Published: (2024)
by: Dolean, Victorita, et al.
Published: (2024)
A Theory of Relaxation-Based Algebraic Multigrid
by: Moussa, Rayan, et al.
Published: (2026)
by: Moussa, Rayan, et al.
Published: (2026)
Robust spectral preconditioning for high-Péclet number convection-diffusion
by: Holbach, Lukas, et al.
Published: (2025)
by: Holbach, Lukas, et al.
Published: (2025)
Unified analysis of saddle point problems via auxiliary space theory
by: Park, Jongho
Published: (2025)
by: Park, Jongho
Published: (2025)
Algebraic Multigrid with Overlapping Schwarz Smoothers and Local Spectral Coarse Grids for Least Squares Problems
by: Southworth, Ben S., et al.
Published: (2026)
by: Southworth, Ben S., et al.
Published: (2026)
Nonlinear Two-Level Schwarz Methods: A Parallel Implementation in FROSch
by: Heinlein, Alexander, et al.
Published: (2024)
by: Heinlein, Alexander, et al.
Published: (2024)
Improving patch selection for monolithic multigrid solvers for high-order {T}aylor-{H}ood discretizations
by: Rafiei, Amin, et al.
Published: (2025)
by: Rafiei, Amin, et al.
Published: (2025)
Generalized Golub-Kahan bidiagonalization for generalized saddle point systems
by: Wang, Na-Na, et al.
Published: (2025)
by: Wang, Na-Na, et al.
Published: (2025)
Preconditioned normal equations for solving discretised partial differential equations
by: Lazzarino, Lorenzo, et al.
Published: (2025)
by: Lazzarino, Lorenzo, et al.
Published: (2025)
Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
by: Arrarás, Andrés, et al.
Published: (2024)
by: Arrarás, Andrés, et al.
Published: (2024)
Low-rank-modified Galerkin methods for the Lyapunov equation
by: Lund, Kathryn, et al.
Published: (2023)
by: Lund, Kathryn, et al.
Published: (2023)
Coarse spaces for non-symmetric two-level preconditioners based on local extended generalized eigenproblems
by: Nataf, Frédéric, et al.
Published: (2024)
by: Nataf, Frédéric, et al.
Published: (2024)
Efficient multigrid solvers for mixed-degree local discontinuous Galerkin multiphase Stokes problems
by: Saye, Robert I.
Published: (2025)
by: Saye, Robert I.
Published: (2025)
Arbitrary order approximations at constant cost for Timoshenko beam network models
by: Hauck, Moritz, et al.
Published: (2024)
by: Hauck, Moritz, et al.
Published: (2024)
Vanka-smoothed shifted Laplacian multigrid preconditioners for the Helmholtz equations
by: Yovel, Rachel, et al.
Published: (2025)
by: Yovel, Rachel, et al.
Published: (2025)
A Krylov projection algorithm for large symmetric matrices with dense spectra
by: Druskin, Vladimir, et al.
Published: (2025)
by: Druskin, Vladimir, et al.
Published: (2025)
Monotonicity, bounds and extrapolation of Block-Gauss and Gauss-Radau quadrature for computing $B^T ϕ(A) B$
by: Zimmerling, Jörn, et al.
Published: (2024)
by: Zimmerling, Jörn, et al.
Published: (2024)
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems
by: Ali, Ahsan, et al.
Published: (2023)
by: Ali, Ahsan, et al.
Published: (2023)
Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin approximations of Hamilton--Jacobi--Bellman equations
by: Smears, Iain
Published: (2014)
by: Smears, Iain
Published: (2014)
The Reduced Basis Multigrid scheme for the Virtual Element Method
by: Antonietti, Paola F., et al.
Published: (2025)
by: Antonietti, Paola F., et al.
Published: (2025)
Multi-scale linear solvers for very large systems derived from PDEs
by: Lackner, Klaus, et al.
Published: (1998)
by: Lackner, Klaus, et al.
Published: (1998)
Similar Items
-
Mixed precision multigrid with smoothing based on incomplete Cholesky factorization
by: Vacek, Petr, et al.
Published: (2025) -
A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level
by: Vacek, Petr, et al.
Published: (2024) -
Chebyshev HOPGD with sparse grid sampling for parameterized linear systems
by: Correnty, Siobhán, et al.
Published: (2023) -
Factorized sparse approximate inverse preconditioning for singular M-matrices
by: Bick, Katherina, et al.
Published: (2025) -
On Optimal Algebraic Multigrid Methods
by: Ramos, Luis García, et al.
Published: (2019)