A massively parallel solver for discrete Poisson-like problems
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Publication:728754
DOI10.1016/j.jcp.2014.10.043zbMath1352.65454OpenAlexW2114138609MaRDI QIDQ728754
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2014.10.043
Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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- An aggregation-based algebraic multigrid method
- A fast parallel Poisson solver on irregular domains applied to beam dynamics simulations
- Performance of parallel AMG-preconditioners in CFD-codes for weakly compressible flows
- \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
- Parallel multigrid smoothing: Polynomial versus Gauss--Seidel
- Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
- An asynchronous framework for the simulation of the plasma/flow interaction
- A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations
- Flexible Conjugate Gradients
- Non-Galerkin Coarse Grids for Algebraic Multigrid
- An Algebraic Multigrid Method with Guaranteed Convergence Rate
- Algebraic Multigrid for Moderate Order Finite Elements
- Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology
- Multigrid Smoothers for Ultraparallel Computing
- Aggregation-Based Algebraic Multigrid for Convection-Diffusion Equations
- SIMPLE-type preconditioners for the Oseen problem
- Recursive Krylov‐based multigrid cycles
- Analysis of Aggregation-Based Multigrid
- Practical Use of Polynomial Preconditionings for the Conjugate Gradient Method
- Krylov‐accelerated algebraic multigrid for semi‐definite and nonsymmetric systems in computational fluid dynamics
- A Comparison of Deflation and the Balancing Preconditioner
- Reducing communication in algebraic multigrid using additive variants