Performance study and analysis of parallel multilevel preconditioners

DOI10.1007/s10852-005-9026-xzbMath1109.65042OpenAlexW2015702649MaRDI QIDQ864932

Chi Shen, Jun Zhang

Publication date: 13 February 2007

Published in: JMMA. Journal of Mathematical Modelling and Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10852-005-9026-x

zbMATH Keywords

numerical examplespreconditioningparallel computationmultilevel ILU preconditioner

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Complexity and performance of numerical algorithms (65Y20)

Uses Software

• BILUM
• BILUTM
• ILUM

Cites Work

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• Distributed block independent set algorithms and parallel multilevel ILU preconditioners
• Parallel two level block ILU preconditioning techniques for solving large sparse linear systems
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• An explicit fourth-order compact finite difference scheme for three-dimensional convection-diffusion equation
• BILUTM: A Domain-Based Multilevel Block ILUT Preconditioner for General Sparse Matrices
• BILUM: Block Versions of Multielimination and Multilevel ILU Preconditioner for General Sparse Linear Systems
• ILUM: A Multi-Elimination ILU Preconditioner for General Sparse Matrices

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