2LEV-D2P4: a package of high-performance preconditioners for scientific and engineering applications

DOI10.1007/s00200-007-0035-zzbMath1122.65046OpenAlexW2152741328WikidataQ58832845 ScholiaQ58832845MaRDI QIDQ2642893

Alfredo Buttari, Pasqua D'Ambra, Salvatore Filippone, Daniela di Serafino

Publication date: 6 September 2007

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-007-0035-z

zbMATH Keywords

numerical examplesdomain decompositionlarge-scale linear systemsadditive Schwarz preconditionerssparse linear algebraalgebraic two-level preconditionersparallel numerical software

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Packaged methods for numerical algorithms (65Y15)

Related Items

Efficient Algebraic Multigrid Preconditioners on Clusters of GPUs ⋮ Parallel algebraic multilevel Schwarz preconditioners for a class of elliptic PDE systems ⋮ Parallel Aggregation Based on Compatible Weighted Matching for AMG ⋮ AMG Preconditioners for Linear Solvers towards Extreme Scale ⋮ Performance of parallel AMG-preconditioners in CFD-codes for weakly compressible flows ⋮ Scalable algebraic multilevel preconditioners with application to CFD ⋮ A parallel generalized relaxation method for high-performance image segmentation on GPUs ⋮ 2LEV-D2P4

Uses Software

• SuperLU-DIST
• LAPACK
• UMFPACK
• CLAPACK
• BLAS
• PSBLAS
• Trilinos
• SuiteSparse
• SparseMatrix
• MPI
• BLACS
• SMMP

Cites Work

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• Sparse matrix multiplication package (SMMP)
• 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
• The university of Florida sparse matrix collection
• An overview of the Trilinos project
• Level 3 basic linear algebra subprograms for sparse matrices
• Domain Decomposition Algorithms for Indefinite Elliptic Problems
• A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
• PSBLAS
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• SuperLU_DIST
• Algorithm 832
• An overview of the sparse basic linear algebra subprograms