Cover Image

Multi-scale linear solvers for very large systems derived from PDEs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lackner, Klaus, Menikoff, Ralph
Format:	Preprint
Published:	1998
Subjects:	Numerical Analysis Rings and Algebras 65F10;65N22;65N55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

MGCNN: a learnable multigrid solver for sparse linear systems from PDEs on structured grids
by: Xie, Yan, et al.
Published: (2023)

Chebyshev HOPGD with sparse grid sampling for parameterized linear systems
by: Correnty, Siobhán, et al.
Published: (2023)

Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
by: Arrarás, Andrés, et al.
Published: (2024)

A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level
by: Vacek, Petr, et al.
Published: (2024)

Can Symmetric Positive Definite (SPD) coarse spaces perform well for indefinite Helmholtz problems?
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)

Accelerating non-local exchange in generalized optimized Schwarz methods
by: Atchekzai, Roxane, et al.
Published: (2024)

A Theory of Relaxation-Based Algebraic Multigrid
by: Moussa, Rayan, et al.
Published: (2026)

Robust spectral preconditioning for high-Péclet number convection-diffusion
by: Holbach, Lukas, et al.
Published: (2025)

Unified analysis of saddle point problems via auxiliary space theory
by: Park, Jongho
Published: (2025)

Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces
by: Strehlow, Arne, et al.
Published: (2024)

Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems
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)

Factorized sparse approximate inverse preconditioning for singular M-matrices
by: Bick, Katherina, et al.
Published: (2025)

Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry
by: Bachmayr, Markus, et al.
Published: (2024)

The effect of approximate coarsest-level solves on the convergence of multigrid V-cycle methods
by: Vacek, Petr, et al.
Published: (2023)

On Optimal Algebraic Multigrid Methods
by: Ramos, Luis García, et al.
Published: (2019)

Efficient multigrid solvers for mixed-degree local discontinuous Galerkin multiphase Stokes problems
by: Saye, Robert I.
Published: (2025)

Nonlinear Two-Level Schwarz Methods: A Parallel Implementation in FROSch
by: Heinlein, Alexander, 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)

Multigrid Primer: Basic Principles
by: McCormick, Stephen F., et al.
Published: (2026)

Chebyshev smoothing with adaptive block-FSAI preconditioners for the multilevel solution of higher-order problems
by: Recio, Pablo Jiménez, et al.
Published: (2025)

Improving patch selection for monolithic multigrid solvers for high-order {T}aylor-{H}ood discretizations
by: Rafiei, Amin, et al.
Published: (2025)

Coarse spaces for non-symmetric two-level preconditioners based on local extended generalized eigenproblems
by: Nataf, Frédéric, et al.
Published: (2024)

Mixed precision multigrid with smoothing based on incomplete Cholesky factorization
by: Vacek, Petr, et al.
Published: (2025)

Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems
by: Ali, Ahsan, et al.
Published: (2023)

Preconditioned normal equations for solving discretised partial differential equations
by: Lazzarino, Lorenzo, et al.
Published: (2025)

The Reduced Basis Multigrid scheme for the Virtual Element Method
by: Antonietti, Paola F., et al.
Published: (2025)

Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin approximations of Hamilton--Jacobi--Bellman equations
by: Smears, Iain
Published: (2014)

Scalable Multigrid Solver for the Helmholtz Equation: Real-Shifted Coarse Grid Correction
by: Yovel, Rachel, et al.
Published: (2026)

Towards a Multigrid Preconditioner Interpretation of Hierarchical Poincaré-Steklov Solvers
by: Lorca, J. P. Lucero
Published: (2025)

A parallel preconditioner for the all-at-once linear system from evolutionary PDEs with Crank-Nicolson discretization
by: Zhao, Yong-Liang, et al.
Published: (2024)

A robust solver for large-scale heat transfer topology optimization
by: Zhou, Yingjie, et al.
Published: (2024)

A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains
by: Theisen, Lambert, et al.
Published: (2023)

Achieving wavenumber robustness in domain decomposition for heterogeneous Helmholtz equation: an overview of spectral coarse spaces
by: Dolean, Victorita, et al.
Published: (2025)

Optimal Spectral Approximation in the Overlaps for Generalized Finite Element Methods
by: Alber, Christian, et al.
Published: (2025)

A robust solver for H(curl) convection-diffusion and its local Fourier analysis
by: Wang, Jindong, et al.
Published: (2024)

A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs
by: Caldana, Matteo, et al.
Published: (2023)

New Analysis of Overlapping Schwarz Methods for Vector Field Problems in Three Dimensions with Generally Shaped Domains
by: Oh, Duk-Soon, et al.
Published: (2024)

Auxiliary space theory for the analysis of iterative methods for semidefinite linear systems
by: Park, Jongho, et al.
Published: (2025)