Parallel algebraic multilevel Schwarz preconditioners for a class of elliptic PDE systems

DOI10.1007/s00791-014-0220-0zbMath1376.65032OpenAlexW2080552677WikidataQ58832757 ScholiaQ58832757MaRDI QIDQ1684409

Alfio Borzì, Daniela di Serafino, Valentina De Simone

Publication date: 8 December 2017

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-014-0220-0

zbMATH Keywords

Schwarz methodsparallel computingalgebraic multilevel preconditionerssmoothed aggregationsystems of elliptic PDEs

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Parallel numerical computation (65Y05) Existence theories for optimal control problems involving partial differential equations (49J20) Preconditioners for iterative methods (65F08)

Related Items (3)

Efficient Algebraic Multigrid Preconditioners on Clusters of GPUs ⋮ Parallel Aggregation Based on Compatible Weighted Matching for AMG ⋮ A Multilevel Schwarz Preconditioner Based on a Hierarchy of Robust Coarse Spaces

Uses Software

• 2LEV-D2P4
• LAPACK
• UMFPACK
• PSBLAS
• Trilinos
• MPI
• MLD2P4
• ML
• BLACS
• SParC-LES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Performance analysis of parallel Schwarz preconditioners in the LES of turbulent channel flows
• A convergence theory of multilevel additive Schwarz methods on unstructured meshes
• Global solutions of reaction-diffusion systems
• Additive and multiplicative multi-grid -- a comparison
• Energy optimization of algebraic multigrid bases
• Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
• A black-box iterative solver based on a two-level Schwarz method
• On the development of PSBLAS-based parallel two-level Schwarz preconditioners
• 2LEV-D2P4: a package of high-performance preconditioners for scientific and engineering applications
• MLD2P4
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• An overview of the Trilinos project
• Iterative Methods by Space Decomposition and Subspace Correction
• A Method for Devising Efficient Multigrid Smoothers for Complicated PDE Systems
• Coarse-Grid Correction for Nonelliptic and Singular Perturbation Problems
• PSBLAS
• An Algebraic Multigrid Method for a Class of Elliptic Differential Systems
• An Algebraic Multigrid Method for Linear Elasticity
• An improved convergence analysis of smoothed aggregation algebraic multigrid
• Algorithm 832

This page was built for publication: Parallel algebraic multilevel Schwarz preconditioners for a class of elliptic PDE systems