Improved convergence bounds for smoothed aggregation method: Linear dependence of the convergence rate on the number of levels
DOI10.1007/s10587-016-0295-5zbMath1413.65443OpenAlexW2530565943MaRDI QIDQ2828819
Pavla Fraňková, Jan Brousek, Petr Vaněk
Publication date: 26 October 2016
Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10338.dmlcz/145874
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Cites Work
- Nearly optimal convergence result for multigrid with aggressive coarsening and polynomial smoothing.
- Model analysis of BPX preconditioner based on smoothed aggregation.
- Acceleration of convergence of a two-level algorithm by smoothing transfer operators
- Fast multigrid solver
- Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
- Convergence Estimates for Multigrid Algorithms without Regularity Assumptions
- Two-grid Method for Linear Elasticity on Unstructured Meshes
- An improved convergence analysis of smoothed aggregation algebraic multigrid
- Convergence of algebraic multigrid based on smoothed aggregation
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