The stabilized \(V\)-cycle method
DOI10.1016/0377-0427(96)00016-7zbMath0871.65103OpenAlexW2007452614MaRDI QIDQ2564246
Publication date: 26 August 1997
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(96)00016-7
computational complexitystabilizationefficiencycondition numberbiharmonic equationpreconditionersparallel computersmixed finite elementspeeduphierarchical basis functionsalgebraic multilevel iterationmultilevel iteration methods\(p\)-versions
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Complexity and performance of numerical algorithms (65Y20)
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Cites Work
- Multigrid domain decomposition methods for elliptic problems
- On some versions of incomplete block-matrix factorization iterative methods
- Constant wavefront iteration methods for nine- and 15-point difference matrices
- Asymptotic work estimates for AMLI methods
- A survey of multilevel preconditioned iterative methods
- On the multi-level splitting of finite element spaces
- A general incomplete block-matrix factorization method
- Algebraic multilevel preconditioning methods. I
- The method of diagonal compensation of reduced matrix entries and multilevel iteration
- Scalable algorithms for the solution of Navier's equations of elasticity
- Algebraic Multilevel Preconditioning Methods, II
- Block Preconditioning for the Conjugate Gradient Method
- The Nested Recursive Two-Level Factorization Method for Nine-Point Difference Matrices
- Hybrid V-Cycle Algebraic Multilevel Preconditioners
- Factorized Sparse Approximate Inverse Preconditionings I. Theory
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Iterative Solution Methods
- Preconditioning and Two-Level Multigrid Methods of Arbitrary Degree of Approximation
- Algebraic multilevel iteration method for Stieltjes matrices
- A relaxation method for solving elliptic difference equations
- Difference methods and the generalized Dirichlet problem
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