An efficient implementation of certain iterative refinement preconditioners

DOI10.1007/BF02243396zbMath0797.65027MaRDI QIDQ1316591

Svetozara I. Petrova

Publication date: 9 October 1994

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

local grid refinementleast squares methodpreconditioned conjugate gradient methodBEPS preconditionergeneralized minimal residual methodssparsity pattern of residuals

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) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Uses Software

• CGS

Cites Work

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• Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners
• A generalized conjugate gradient, least square method
• A preconditioning technique for the efficient solution of problems with local grid refinement
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• Incomplete block-matrix factorization iterative methods for convection- diffusion problems
• The Fast Adaptive Composite Grid (FAC) Method for Elliptic Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A restarted version of a generalized preconditioned conjugate gradient method
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Marching Algorithms for Elliptic Boundary Value Problems. I: The Constant Coefficient Case
• Marching Algorithms for Elliptic Boundary Value Problems. II: The Variable Coefficient Case
• Local refinement techniques for elliptic problems on cell‐centered grids; II. Optimal order two‐grid iterative methods
• A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems

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