On the multigrid F-cycle

DOI10.1016/0096-3003(90)90108-FzbMath0703.65074OpenAlexW1963856998MaRDI QIDQ916322

Seymour V. Parter, Jan Mandel

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0096-3003(90)90108-f

zbMATH Keywords

convergence ratemultigrid methodsasymptotic boundmultigrid F-cycle

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10)

Related Items (8)

Convergence of nonconforming $V$-cycle and $F$-cycle multigrid algorithms for second order elliptic boundary value problems ⋮ A simplified new multigrid algorithm of lattice Boltzmann method for steady states ⋮ An extrapolation full multigrid algorithm combined with fourth-order compact scheme for convection-diffusion equations ⋮ Preconditioning second-order elliptic operators: Condition numbers and the distribution of the singular values ⋮ On the parallelization of multi-grid methods using a non-overlapping domain decomposition data structure ⋮ MUDPACK-2: Multigrid software for approximating elliptic partial differential equations on uniform grids with any resolution ⋮ Numerical efficiency of modified modulus-based multigrid cycles with application to free boundary problems ⋮ Recent enhancements in MUDPACK, a multigrid software package for elliptic partial differential equations

Cites Work

• Unnamed Item
• A note on convergence of the multigrid V-cycle
• Algebraic study of multigrid methods for symmetric, definite problems
• Multigrid Methods: Convergence Theory in a Variational Framework
• A New Convergence Proof for the Multigrid Method Including the V-Cycle
• Sharp Estimates for Multigrid Rates of Convergence with General Smoothing and Acceleration
• Multigrid Methods for Variational Problems: General Theory for the V-Cycle
• New Convergence Estimates for Multigrid Algorithms

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