Robustness and Scalability of Algebraic Multigrid
From MaRDI portal
Publication:4509807
DOI10.1137/S1064827598339402zbMath0959.65049OpenAlexW2072662440MaRDI QIDQ4509807
Van Emden Henson, J. E. Jones, Andrew J. Cleary, Robert Falgout, Thomas A. Manteuffel
Publication date: 19 October 2000
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s1064827598339402
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10)
Related Items (42)
Algebraic multigrid based on computational molecules. 1: Scalar elliptic problems ⋮ Variations on algebraic recursive multilevel solvers (ARMS) for the solution of CFD problems ⋮ A reduced unified continuum formulation for vascular fluid-structure interaction ⋮ Geometric and algebraic multigrid techniques for fluid dynamics problems on unstructured grids ⋮ Sparse approximate inverse smoothers for geometric and algebraic multigrid ⋮ \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner ⋮ An efficient algebraic multigrid method for quadratic discretizations of linear elasticity problems on some typical anisotropic meshes in three dimensions ⋮ Least-Squares Finite Element Discretization of the Neutron Transport Equation in Spherical Geometry ⋮ On the Ideal Interpolation Operator in Algebraic Multigrid Methods ⋮ Generalization of algebraic multiscale to algebraic multigrid ⋮ Learning-based local weighted least squares for algebraic multigrid method ⋮ Computation of dendritic growth with level set model using a multi-mesh adaptive finite element method ⋮ Accelerating algebraic multigrid methods via artificial neural networks ⋮ Comparisons of weakly-compressible and truly incompressible approaches for viscous flow into a high-order Cartesian-grid finite volume framework ⋮ A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients ⋮ An Algebraic Multigrid-Based Physical Factorization Preconditioner for the Multi-Group Radiation Diffusion Equations in Three Dimensions ⋮ Subdomain deflation combined with local AMG: a case study using AMGCL library ⋮ Preconditioning a Newton-Krylov solver for all-speed melt pool flow physics ⋮ Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models ⋮ A parallel implementation of the algebraic multigrid method for solving problems in dynamics of viscous incompressible fluid ⋮ AMG Preconditioners for Linear Solvers towards Extreme Scale ⋮ On Stabilizing and Accelerating SCF Using ITP in Solving Kohn–Sham Equation ⋮ Accelerating algebraic multigrid solvers on NVIDIA GPUs ⋮ A family of constrained pressure residual preconditioners for parallel reservoir simulations ⋮ Computing interpolation weights in AMG based on multilevel Schur complements ⋮ Coarsening of boundary-element spaces ⋮ Algebraic multigrid for higher-order finite elements ⋮ Convergence analysis of multigrid methods with residual scaling techniques ⋮ Performance of parallel AMG-preconditioners in CFD-codes for weakly compressible flows ⋮ Real-time adaptive finite element solution of time-dependent Kohn-Sham equation ⋮ Precursor simulations in spreading using a multi-mesh adaptive finite element method ⋮ On long-range interpolation operators for aggressive coarsening ⋮ Improving algebraic multigrid interpolation operators for linear elasticity problems ⋮ A numerical algorithm for image sequence inpainting that preserves fine textures ⋮ Adaptive algebraic smoothers ⋮ AMGCL: an efficient, flexible, and extensible algebraic multigrid implementation ⋮ Remark on convergence of algebraic multigrid in the form of matrix decomposition ⋮ A grid-based multilevel incomplete LU factorization preconditioning technique for general sparse matrices ⋮ An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory ⋮ A hybrid multigrid method for convection-diffusion problems ⋮ Algebraic interface‐based coarsening AMG preconditioner for multi‐scale sparse matrices with applications to radiation hydrodynamics computation ⋮ Preconditioning techniques for large linear systems: A survey
This page was built for publication: Robustness and Scalability of Algebraic Multigrid