Multigrid with inexact minimal residual smoothing acceleration

DOI10.1016/S0168-9274(97)00010-XzbMath0882.65113MaRDI QIDQ1369443

Jun Zhang

Publication date: 3 February 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsmultigrid convergencesubspace minimizationminimal residual smoothing

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10)

Related Items

Residual scaling techniques in multigrid. II: Practical applications ⋮ A MULTIGRID-LANCZOS ALGORITHM FOR THE NUMERICAL SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS ⋮ Acceleration and stabilization properties of minimal residual smoothing technique in multigrid ⋮ Multi-level minimal residual smoothing: A family of general purpose multigrid acceleration techniques

Uses Software

• CGS
• Wesseling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic multigrid (AMG): Experiences and comparisons
• Steplength optimization and linear multigrid methods
• Inadequacy of first-order upwind difference schemes for some recirculating flows
• Residual scaling techniques in multigrid. I: Equivalence proof
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• Hybrid procedures for solving linear systems
• Acceleration of five-point red-black Gauss-Seidel in multigrid for Poisson equation
• Minimal residual smoothing in multi-level iterative method
• Fast multigrid solver
• Residual smoothing and peak/plateau behavior in Krylov subspace methods
• Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• 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
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Residual Smoothing Techniques for Iterative Methods
• Accelerated Multigrid Convergence and High-Reynolds Recirculating Flows
• On Red-Black SOR Smoothing in Multigrid
• A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems
• A cost-effective multigrid projection operator