Substructuring Preconditioners with a Simple Coarse Space for 2-D 3-T Radiation Diffusion Equations

DOI10.4208/cicp.OA-2017-0065zbMath1488.65572OpenAlexW2911968215WikidataQ128509672 ScholiaQ128509672MaRDI QIDQ5159065

Zhiyang Zhou, Junxian Wang, Shi Shu, Xiaoqiang Yue

Publication date: 26 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2017-0065

zbMATH Keywords

condition numbernonoverlapping domain decompositionparallel scalabilitysimple coarse space2-D 3-T radiation diffusion equations

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08) Finite volume methods for boundary value problems involving PDEs (65N08)

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Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions ⋮ An extremum‐preserving finite volume scheme for three‐temperature radiation diffusion equations ⋮ An Algebraic Multigrid-Based Physical Factorization Preconditioner for the Multi-Group Radiation Diffusion Equations in Three Dimensions ⋮ Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations ⋮ The Finite Point Method for Solving the 2-D 3-T Diffusion Equations ⋮ Algebraic Multigrid Block Preconditioning for Multi-Group Radiation Diffusion Equations ⋮ An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes ⋮ A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations ⋮ $α$Setup-PCTL: An Adaptive Setup-Based Two-Level Preconditioner for Sequence of Linear Systems of Three-Temperature Energy Equations

Uses Software

• BoomerAMG

Cites Work

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• Some new discretization and adaptation and multigrid methods for 2-D 3-T diffusion equations
• \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
• Acceleration of the non-symmetrized two-level iteration
• Adaptive BDDC in three dimensions
• Iterative linear solvers in a 2D radiation-hydrodynamics code: Methods and performance
• Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method
• Multilevel preconditioning for the finite volume method
• Two-Grid Methods for Maxwell Eigenvalue Problems
• Nonoverlapping domain decomposition methods with a simple coarse space for elliptic problems
• Some Estimates for a Weighted L 2 Projection
• An efficient algebraic multigrid method for quadratic discretizations of linear elasticity problems on some typical anisotropic meshes in three dimensions
• A FETI-DP Formulation of Three Dimensional Elasticity Problems with Mortar Discretization
• Iterative Methods by Space Decomposition and Subspace Correction
• Some Nonoverlapping Domain Decomposition Methods
• Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
• Analysis of non-overlapping domain decomposition algorithms with inexact solves
• A Preconditioner for Substructuring Based on Constrained Energy Minimization
• Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
• JASMIN-based Two-dimensional Adaptive Combined Preconditioner for Radiation Diffusion Equations in Inertial Fusion Research
• Balancing domain decomposition for problems with large jumps in coefficients
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Parallel adaptive multigrid algorithm for 2-d 3-t diffusion equations
• Schwarz methods of neumann‐neumann type for three‐dimensional elliptic finite element problems
• Algebraic interface‐based coarsening AMG preconditioner for multi‐scale sparse matrices with applications to radiation hydrodynamics computation
• Finite Volume Element Methods for Two-Dimensional Three-Temperature Radiation Diffusion Equations
• An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations
• Numerical Study of Geometric Multigrid Methods on CPU-GPU Heterogeneous Computers