A class of hybrid algebraic multilevel preconditioning methods

DOI10.1016/0168-9274(95)00106-9zbMath0855.65029OpenAlexW2042387773MaRDI QIDQ1917430

Zhong Zhi Bai

Publication date: 11 February 1997

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

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00106-9

zbMATH Keywords

finite element methodpreconditionerscondition numbershybrid algebraic multilevel preconditioning methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

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Cites Work

• Asymptotic work estimates for AMLI methods
• On the multi-level splitting of finite element spaces
• The hierarchical basis multigrid method
• Algebraic multilevel preconditioning methods. I
• The contraction number of a multigrid method for solving the Poisson equation
• Algebraic Multilevel Preconditioning Methods, II
• A New Convergence Proof for the Multigrid Method Including the V-Cycle
• An Optimal Order Process for Solving Finite Element Equations
• Hybrid V-Cycle Algebraic Multilevel Preconditioners
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
• Preconditioning and Two-Level Multigrid Methods of Arbitrary Degree of Approximation
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