A class of new hybrid algebraic multilevel preconditioning methods

DOI10.1016/S0024-3795(97)80012-2zbMath0877.65023MaRDI QIDQ1361781

Deren Wang, Zhong Zhi Bai

Publication date: 8 December 1997

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

zbMATH Keywords

finite element methodsecond-order elliptic boundary value problemscondition numbersalgebraic multilevel preconditioning methodslarge scale sparse systems

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) 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)

Related Items (6)

Splitting-based block preconditioning methods for block two-by-two matrices of real square blocks ⋮ On hybrid preconditioning methods for large sparse saddle-point problems ⋮ Conjugate gradient method preconditioned with modified block SSOR iteration for multiplicative half-quadratic image restoration ⋮ Structured preconditioners for nonsingular matrices of block two-by-two structures ⋮ A unified framework for the construction of various algebraic multilevel preconditioning methods ⋮ A framework of parallel algebraic multilevel preconditioning iterations

Cites Work

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• On the multi-level splitting of finite element spaces
• Algebraic multilevel preconditioning methods. I
• A class of hybrid algebraic multilevel preconditioning methods
• Algebraic Multilevel Preconditioning Methods, II
• Hybrid V-Cycle Algebraic Multilevel Preconditioners
• New variants of the algebraic multilevel preconditioning methods
• Preconditioning and Two-Level Multigrid Methods of Arbitrary Degree of Approximation
• Parallel multilevel iterative methods

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