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A robust and efficient multigrid method

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01093706openalex-snapshot
Differencing scheme for a differential equation with a small parameter affecting the highest derivative
inferredcites →https://doi.org/10.1007/bf01400317openalex-snapshot
The contraction number of a multigrid method for solving the Poisson equation
inferredcites →https://doi.org/10.1007/bf01931691openalex-snapshot
A class of first order factorization methods
inferredcites →https://doi.org/10.1007/bf02252378openalex-snapshot
On the multi-grid method applied to difference equations
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A fast iterative method for solving poisson’s equation in a general region
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Numerical experiments with a multiple grid and a preconditioned Lanczos type method
inferredcites →https://doi.org/10.1007/bfb0118663openalex-snapshot
Multi-level adaptive technique (MLAT) for fast numerical solution to boundary value problems
inferredcites →https://doi.org/10.1016/0021-9991(81)90034-6openalex-snapshot
Iterative solution methods for certain sparse linear systems with a non-symmetric matrix arising from PDE-problems
inferredcites →https://doi.org/10.1016/0024-3795(83)90091-5openalex-snapshot
A note on MGR methods
inferredcites →https://doi.org/10.1016/0041-5553(62)90031-9openalex-snapshot
A relaxation method for solving elliptic difference equations
inferredcites →https://doi.org/10.1016/0041-5553(66)90118-2openalex-snapshot
On the convergence of a relaxation method with natural constraints on the elliptic operator
inferredcites →https://doi.org/10.1016/0041-5553(71)90170-4openalex-snapshot
An iterative method of solving elliptic net problems
inferredcites →https://doi.org/10.1016/b978-0-12-546050-7.50008-3openalex-snapshot
Multigrid Solutions to Elliptic Flow Problems
inferredcites →https://doi.org/10.1016/b978-0-12-546050-7.50009-5openalex-snapshot
Computational Fluid Dynamics
inferredcites →https://doi.org/10.1016/b978-0-12-632620-8.50027-9openalex-snapshot
NON-STANDARD MULTIGRID TECHNIQUES USING CHECKERED RELAXATION AND INTERMEDIATE GRIDS
inferredcites →https://doi.org/10.1016/c2013-0-10376-5openalex-snapshot
Elliptic Problem Solvers
inferredcites →https://doi.org/10.1090/s0025-5718-1977-0431719-xopenalex-snapshot
Multi-Level Adaptive Solutions to Boundary-Value Problems
inferredcites →https://doi.org/10.1090/s0025-5718-1977-0438681-4openalex-snapshot
An iterative solution method for linear systems of which the coefficient matrix is a symmetric 𝑀-matrix
inferredcites →https://doi.org/10.1090/s0025-5718-1979-0528048-4openalex-snapshot
On Some Theoretical and Practical Aspects of Multigrid Methods
inferredcites →https://doi.org/10.1093/imanum/1.3.369openalex-snapshot
On a Property of Some Test Equations for Finite Difference or Finite Element Methods
inferredcites →https://doi.org/10.1137/0903025openalex-snapshot
Theoretical and Practical Aspects of a Multigrid Method
inferredcites →https://doi.org/10.1515/9783486992939-020openalex-snapshot
On the convergence of multi-grid iterations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A multigrid method for recirculating flows
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Two‐level multigrid analysis for the convection–diffusion equation discretized by a discontinuous Galerkin method
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An algebraic two‐level preconditioner for asymmetric, positive‐definite systems
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A survey of Fourier smoothing analysis results
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On Robust and Adaptive Multi-Grid Methods
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The Lid-Driven Cavity
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The Role of Incomplete LU-Factorization in Multigrid Methods
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A robust preconditioner based on algebraic substructuring and two-level grids
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Local Mode Smoothing Analysis of Various Incomplete Factorization Iterative Methods
inferred← citeshttps://doi.org/10.1007/978-3-322-86200-6_17openalex-snapshot
Multigrid with ILU-smoothing: systematic tests and improvements
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Multi-Grid Algorithms
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Downwind Numbering : A Robust Multigrid Method for Convection-Diffusion Problems on Unstructured Grids
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Multigrid Solution of the Navier-Stokes Equations in the Vorticity-Streamfunction Formulation
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Adaptive Multigrid Methods: The UG Concept
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The Defect Correction Approach
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Approximate and Incomplete Factorizations
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Multigrid methods: Fundamental algorithms, model problem analysis and applications
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Multigrid software for the solution of elliptic problems on rectangular domains: MGOO (release 1)
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Fas multigrid employing ILU/SIP smoothing: A robust fast solver for 3D transonic potential flow
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Multigrid methods for problems with a small parameter in the highest derivative
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A front-tracking method for viscous, incompressible, multi-fluid flows
inferred← citeshttps://doi.org/10.1016/0096-3003(83)90018-8openalex-snapshot
Multigrid methods: development of fast solvers
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Algebraic multigrid (AMG): experiences and comparisons
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Aspects of multigrid methods for problems in three dimensions
inferred← citeshttps://doi.org/10.1016/0096-3003(92)90041-xopenalex-snapshot
Monotone enclosure for nonlinear PDEs using multigrid techniques
inferred← citeshttps://doi.org/10.1016/0098-1354(89)85003-3openalex-snapshot
Multigrid solution of the diffusion-convection-reaction equations which describe the mass and/or heat transfer from or to a spherical particle
inferred← citeshttps://doi.org/10.1016/0167-739x(94)90035-3openalex-snapshot
A parallel multigrid code with a fast vectorized ILU-relaxation
inferred← citeshttps://doi.org/10.1016/0168-9274(91)90112-dopenalex-snapshot
On methods of incomplete LU decompositions for solving Poisson's equation in annular regions
inferred← citeshttps://doi.org/10.1016/0168-9274(95)00095-xopenalex-snapshot
Development of semi-coarsening techniques
inferred← citeshttps://doi.org/10.1016/0377-0427(87)90013-6openalex-snapshot
Relaxation schemes for spectral multigrid methods
inferred← citeshttps://doi.org/10.1016/0377-0427(90)90252-uopenalex-snapshot
Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
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An efficient nonlinear multigrid scheme for 2D boundary value problems
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h-Multigrid for space-time discontinuous Galerkin discretizations of the compressible Navier–Stokes equations
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Efficient parallel solvers for the biharmonic equation
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Multigrid smoothing for symmetric nine-point stencils
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Additive multilevel preconditioners based on bilinear interpolation, matrix-dependent geometric coarsening and algebraic multigrid coarsening for second-order elliptic PDEs
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Downwind numbering: robust multigrid for convection-diffusion problems
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Numerical simulations of the flow of a continuously stratified fluid, incorporating inertial effects
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A Black-Box Multigrid Preconditioner for the Biharmonic Equation
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Preconditioners for the Spectral Multigrid Method
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Parallelizing a highly vectorized multigrid code with zebra relaxation
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Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier–Stokes Equations
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Multigrid Methods: Convergence Theory in a Variational Framework
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On the Performance of Some Rapid Elliptic Solvers on a Vector Processor
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On the Robustness of ILU Smoothing
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On Red-Black SOR Smoothing in Multigrid
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Towards Automatic Multigrid Algorithms for SPD, Nonsymmetric and Indefinite Problems
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On an Adaptive Multigrid Solver for Convection-Dominated Problems
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HIGH-ORDER DISCONTINUOUS GALERKIN METHODS FOR CFD
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Asynchronous Task-Based Parallelization of Algebraic Multigrid
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Computations of Multiphase Fluid Flows Using Marker-Based Adaptive, Multilevel Cartesian Grid Method
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Parallelizing a highly vectorized multigrid code with zebra relaxation
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