Smoothed aggregation solvers for anisotropic diffusion

DOI10.1002/nla.1805zbMath1274.65325OpenAlexW2143952613MaRDI QIDQ4921811

Jacob B. Schroder

Publication date: 13 May 2013

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1805

zbMATH Keywords

numerical resultsenergy minimizationalgebraic multigridsparse linear systemssmoothed aggregationanisotropic diffusioncoarse-grid injectionlong-distance interpolation

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10)

Related Items (12)

Analysis of an aggregation‐based algebraic two‐grid method for a rotated anisotropic diffusion problem ⋮ Least-Squares Finite Element Discretization of the Neutron Transport Equation in Spherical Geometry ⋮ Learning-based local weighted least squares for algebraic multigrid method ⋮ Algebraic multigrid methods ⋮ Algebraic Multigrid Schemes for High-Order Nodal Discontinuous Galerkin Methods ⋮ An efficient high-order numerical solver for diffusion equations with strong anisotropy ⋮ A Root-Node--Based Algebraic Multigrid Method ⋮ A Novel Algebraic Multigrid Approach Based on Adaptive Smoothing and Prolongation for Ill-Conditioned Systems ⋮ AIR Algebraic Multigrid for a Space-Time Hybridizable Discontinuous Galerkin Discretization of Advection(-Diffusion) ⋮ Nonsymmetric Reduction-Based Algebraic Multigrid ⋮ Robust multilevel methods for quadratic finite element anisotropic elliptic problems ⋮ Matrix Reordering Using Multilevel Graph Coarsening for ILU Preconditioning

Uses Software

• PyAMG

Cites Work

• A GMRES-based plane smoother in multigrid to solve 3D anisotropic fluid flow problems
• Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes
• Multigrid algorithm with conditional coarsening for the non-aligned sonic flow
• General highly accurate algebraic coarsening
• Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
• A black-box iterative solver based on a two-level Schwarz method
• AMGE Based on Element Agglomeration
• A new perspective on strength measures in algebraic multigrid
• Smoothed aggregation for Helmholtz problems
• A General Interpolation Strategy for Algebraic Multigrid Using Energy Minimization
• Convergence Estimates for Multigrid Algorithms without Regularity Assumptions
• Coarsening by compatible relaxation
• An energy‐based AMG coarsening strategy
• Parallel Preconditioning with Sparse Approximate Inverses
• Coarse-Grid Correction for Nonelliptic and Singular Perturbation Problems
• A Multigrid Tutorial, Second Edition
• Least-Squares Finite Element Methods and Algebraic Multigrid Solvers for Linear Hyperbolic PDEs
• On Generalizing the Algebraic Multigrid Framework

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