The construction of an algebraically reduced system for the acceleration of preconditioned conjugate gradients

DOI10.1016/0377-0427(95)00204-9zbMath0861.65027OpenAlexW1963925737MaRDI QIDQ1919509

Stepan G. Mulyarchik, Stanislav S. Bielawski, Andrew V. Popov

Publication date: 13 October 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00204-9

zbMATH Keywords

convergence accelerationiterative methodpreconditioned conjugate gradient methodcyclic reductionprojection operatorcyclically reduced system

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (2)

Deflated preconditioned conjugate gradient solvers for the pressure-Poisson equation: Extensions and improvements ⋮ Deflated preconditioned conjugate gradient solvers for the pressure-Poisson equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the use of preconditioned conjugate gradient methods for red-black ordered five-point difference schemes
• An incomplete-factorization preconditioning using repeated red-black ordering
• A class of iterative methods for finite element equations
• Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
• Efficient computational schemes of the conjugate gradient method for solving linear systems
• Deflation of Conjugate Gradients with Applications to Boundary Value Problems
• On the Conjugate Gradient Solution of the Schur Complement System Obtained from Domain Decomposition
• Iterative Methods for Cyclically Reduced Non-Self-Adjoint Linear Systems
• Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• A class of first order factorization methods

This page was built for publication: The construction of an algebraically reduced system for the acceleration of preconditioned conjugate gradients