The fast adaptive composite-grid method (FAC): Algorithms for advanced computers

DOI10.1016/0096-3003(86)90099-8zbMath0616.65095OpenAlexW2054082438MaRDI QIDQ1821525

A. O'Gallagher, L. Hart, Stephen F. McCormick, James W. Thomas

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0096-3003(86)90099-8

zbMATH Keywords

convergencenumerical examplesmultigrid methodPoisson equationparallel complexityPoisson solverblock iterationDomain Decompositionfast adaptive composite-grid methodlocal grid applicationmultiprocessor array

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

Multiscale coupling of FFT-based simulations with the LDC approach ⋮ A novel adaptive finite element method for the ground state solution of Bose-Einstein condensates ⋮ Adaptive multigrid method for quantum eigenvalue problems ⋮ Unnamed Item ⋮ A multilevel finite volume method with multiscale-based grid adaptation for steady compressible flows ⋮ An efficient adaptive multigrid method for the elasticity eigenvalue problem

Cites Work

• Unnamed Item
• Successive overrelaxation, multigrid, and preconditioned conjugate gradients algorithms for solving a diffusion problem on a vector computer
• Vortex dynamics of cavity flows
• A parallelized point rowwise successive over-relaxation method on a multiprocessor
• On the convergence of numerical solutions for 2-D flows in a cavity at large Re
• Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
• A numerical study of the two-dimensional Navier-Stokes equations in vorticity-velocity variables
• Driven cavity flows by efficient numerical techniques
• Computational astrophysical fluid dynamics
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Numerical study of viscous flow in a cavity
• Numerical Solution of the Navier-Stokes Equations for the Flow in a Two-Dimensional Cavity
• Viscous and resistive eddies near a sharp corner

This page was built for publication: The fast adaptive composite-grid method (FAC): Algorithms for advanced computers