An algebraic multilevel parallelizable preconditioner for large-scale CFD problems

DOI10.1016/S0045-7825(97)00049-2zbMath0923.76247OpenAlexW2092837979MaRDI QIDQ1387981

Laura C. Dutto, Michel Fortin, Wagdi G. Habashi

Publication date: 10 August 1999

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00049-2

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Parallel numerical computation (65Y05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Basic methods in fluid mechanics (76M99)

Related Items

Algebraic multilevel method with application to the Maxwell equations ⋮ Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics ⋮ Effect of the storage format of sparse linear systems on parallel CFD computations ⋮ Multigrid transfers for nonsymmetric systems based on Schur complements and Galerkin projections

Uses Software

• Chaco

Cites Work

• Parallelizable block diagonal preconditioners for the compressible Navier-Stokes equations
• A Block Ordering Method for Sparse Matrices
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• The Evolution of the Minimum Degree Ordering Algorithm
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Comparative Analysis of the Cuthill–McKee and the Reverse Cuthill–McKee Ordering Algorithms for Sparse Matrices
• A method for finite element parallel viscous compressible flow calculations
• The effect of ordering on preconditioned GMRES algorithm, for solving the compressible Navier‐Stokes equations
• A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems