Parallel multilevel iterative methods

DOI10.1016/0024-3795(95)00547-1zbMath0871.65023OpenAlexW2094126106MaRDI QIDQ5961589

Zhong Zhi Bai, Deren Wang

Publication date: 19 August 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00547-1

zbMATH Keywords

convergencepreconditioningparallel computationblocked multilevel iterationlarge scale systemselfadjoint elliptic boundary value problem

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) Parallel numerical computation (65Y05)

Related Items (7)

A class of new hybrid algebraic multilevel preconditioning methods ⋮ The block preconditioned \textit{LSQR} and \textit{GL}-\textit{LSQR} algorithms for the block partitioned matrices ⋮ Parallel hybrid algebraic multilevel iterative methods ⋮ Fast Solvers for Systems of Linear Equations with Block-Band Matrices ⋮ Conjugate gradient method preconditioned with modified block SSOR iteration for multiplicative half-quadratic image restoration ⋮ Motivations and realizations of Krylov subspace methods for large sparse linear systems ⋮ A framework of parallel algebraic multilevel preconditioning iterations

Cites Work

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• A survey of multilevel preconditioned iterative methods
• On the multi-level splitting of finite element spaces
• The hierarchical basis multigrid method
• Algebraic multilevel preconditioning methods. I
• Algebraic Multilevel Preconditioning Methods, II

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