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Circulant block-factorization preconditioners for elliptic problems

https://doi.org/10.1007/bf02262108
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/sapm1986742171openalex-snapshot
A Proposal for Toeplitz Matrix Calculations
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Parallel and Distributed Processing
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A class of first order factorization methods
inferredcites →https://doi.org/10.1007/bf01934919openalex-snapshot
The block preconditioned conjugate gradient method on vector computers
inferredcites →https://doi.org/10.1007/bfb0069941openalex-snapshot
Analysis and comparison of relaxation schemes in robust multigrid and preconditioned conjugate gradient methods
inferredcites →https://doi.org/10.1016/0024-3795(81)90002-1openalex-snapshot
Honoring Alexander M. Ostrowski
inferredcites →https://doi.org/10.1016/0024-3795(84)90200-3openalex-snapshot
On some versions of incomplete block-matrix factorization iterative methods
inferredcites →https://doi.org/10.1016/0024-3795(86)90159-xopenalex-snapshot
On approximate factorization methods for block matrices suitable for vector and parallel processors
inferredcites →https://doi.org/10.1090/s0025-5718-1995-1257575-9openalex-snapshot
A Framework for Block ILU Factorizations Using Block-Size Reduction
inferredcites →https://doi.org/10.1137/0613018openalex-snapshot
The Interface Probing Technique in Domain Decomposition
inferredcites →https://doi.org/10.1137/0613045openalex-snapshot
A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
inferredcites →https://doi.org/10.1137/0613048openalex-snapshot
Circulant and Skewcirculant Matrices for Solving Toeplitz Matrix Problems
inferredcites →https://doi.org/10.1137/0613053openalex-snapshot
Iterative Solution Methods and Preconditioners for Block-Tridiagonal Systems of Equations
inferredcites →https://doi.org/10.1137/0702003openalex-snapshot
The Solution of Elliptic Difference Equations by Semi-Explicit Iterative Techniques
inferredcites →https://doi.org/10.1137/0714064openalex-snapshot
Marching Algorithms for Elliptic Boundary Value Problems. II: The Variable Coefficient Case
inferredcites →https://doi.org/10.1137/0906018openalex-snapshot
Block Preconditioning for the Conjugate Gradient Method
inferredcites →https://doi.org/10.1137/0914034openalex-snapshot
Some Aspects of Circulant Preconditioners
inferredcites →https://doi.org/10.1137/1.9781611970999openalex-snapshot
Computational Frameworks for the Fast Fourier Transform
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations

What points at this work

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

inferred← citeshttps://doi.org/10.1002/(sici)1099-1506(199709/10)4:5<351::aid-nla103>3.0.co;2-4openalex-snapshot
Sine transform based preconditioners for elliptic problems
inferred← citeshttps://doi.org/10.1002/nme.5336openalex-snapshot
FFT‐based homogenization for microstructures discretized by linear hexahedral elements
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Voxel‐based finite elements with hourglass control in fast Fourier transform‐based computational homogenization
inferred← citeshttps://doi.org/10.1007/3-540-36487-0_60openalex-snapshot
Parallel Performance of an MPI Solver for 3D Elasticity Problems
inferred← citeshttps://doi.org/10.1007/3-540-45262-1_19openalex-snapshot
Preliminary Remarks on Multigrid Methods for Circulant Matrices
inferred← citeshttps://doi.org/10.1007/3-540-45262-1_63openalex-snapshot
Parallel Performance of a 3D Elliptic Solver
inferred← citeshttps://doi.org/10.1007/3-540-62598-4_106openalex-snapshot
Displacement decomposition circulant preconditioners for almost incompressible 2D elasticity systems
inferred← citeshttps://doi.org/10.1007/978-3-540-31852-1_46openalex-snapshot
Parallel Performance of a 3D Elliptic Solver
inferred← citeshttps://doi.org/10.1007/bf02510358openalex-snapshot
Preconditioning of elliptic problems by approximation in the transform domain
inferred← citeshttps://doi.org/10.1007/bf02576004openalex-snapshot
Scientific applications of iterative Toeplitz solvers
inferred← citeshttps://doi.org/10.1007/bf02684392openalex-snapshot
Circulant block-factorization preconditioning of anisotropic elliptic problems
inferred← citeshttps://doi.org/10.1007/s00211-004-0574-1openalex-snapshot
Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation
inferred← citeshttps://doi.org/10.1016/0898-1221(96)00103-4openalex-snapshot
Fast parallel solvers for elliptic problems
inferred← citeshttps://doi.org/10.1016/j.matcom.2026.03.028openalex-snapshot
Diagonal and normal with Toeplitz-block splitting iteration method for space fractional coupled nonlinear Schrödinger equations with repulsive nonlinearities
inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00335-4openalex-snapshot
Spectral behavior of matrix sequences and discretized boundary value problems
inferred← citeshttps://doi.org/10.1016/s0024-3795(98)80002-5openalex-snapshot
An ergodic theorem for classes of preconditioned matrices
inferred← citeshttps://doi.org/10.1016/s0378-4754(02)00104-0openalex-snapshot
MPI solver for 3D elasticity problems
inferred← citeshttps://doi.org/10.1016/s0378-4754(99)00084-1openalex-snapshot
MPI parallel implementation of CBF preconditioning for 3D elasticity problems
inferred← citeshttps://doi.org/10.1016/s0898-1221(00)00072-9openalex-snapshot
Some theorems on linear positive operators and functionals and their applications
inferred← citeshttps://doi.org/10.1023/a:1014088011253openalex-snapshot
Finite Element Matrix Sequences: the Case of Rectangular Domains
inferred← citeshttps://doi.org/10.1137/s0895479898338366openalex-snapshot
Locally X Matrices, Spectral Distributions, Preconditioning, and Applications
inferred← citeshttps://doi.org/10.1142/9789814291071_0047openalex-snapshot
PARALLEL COMPLEXITY OF CONJUGATE GRADIENT METHOD WITH CIRCULANT BLOCK-FACTORIZATION PRECONDITIONERS FOR 3D ELLIPTIC PROBLEMS
inferred← citeshttps://doi.org/10.1142/9789814291071_0048openalex-snapshot
BENCHMARKING PERFORMANCE OF PARALLEL COMPUTERS USING A 2D ELLIPTIC SOLVER
inferred← citeshttps://doi.org/10.4208/jcm.1803-m2017-0294openalex-snapshot
On the Validity of the Local Fourier Analysis
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