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37 lines
2.3 KiB
TeX
37 lines
2.3 KiB
TeX
\section*{Abstract}
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\textsc{AMG4PSBLAS (Algebraic MultiGrid Preconditioners Package
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based on PSBLAS}) is a package of parallel algebraic multilevel preconditioners included in the PSCToolkit (Parallel Sparse Computation Toolkit) software framework.
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It is a progress of a software development project started in 2007, named MLD2P4, which originally implemented a
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multilevel version of some domain decomposition preconditioners of additive-Schwarz type, and was based on a parallel decoupled version of the well known smoothed
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aggregation method to generate the multilevel hierarchy of coarser matrices.
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In the last years, within the context of the EU-H2020 EoCoE project (Energy Oriented Center of Excellence), the package was extended for including new algorithms and
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functionalities for the setup and application new AMG preconditioners with the final aims of improving efficiency and scalability when tens of thousands cores are
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used, and of boosting reliability in dealing with general symmetric positive definite linear systems.
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Due to the significant number of changes and the increase in scope, we decided to rename the package as AMG4PSBLAS.
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AMG4PSBLAS has been designed to provide scalable and easy-to-use preconditioners
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in the context of the PSBLAS (Parallel Sparse Basic Linear Algebra Subprograms)
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computational framework and can be used in conjuction with the Krylov solvers
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available in this framework.
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Our package is based on a completely algebraic approach; therefore
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users level interfaces assume that the system matrix and
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preconditioners are represented as PSBLAS distributed sparse matrices.
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AMG4PSBLAS enables the user to easily specify different
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features of an algebraic multilevel preconditioner, thus allowing to experiment
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with different preconditioners for the problem and parallel computers at hand.
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The package employs object-oriented design techniques in
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Fortran~2003, with interfaces to additional third party libraries
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such as MUMPS, UMFPACK, SuperLU, and SuperLU\_Dist, which
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can be exploited in building multilevel preconditioners. The parallel
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implementation is based on a Single Program Multiple Data (SPMD)
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paradigm; the inter-process communication is based on MPI and
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is managed mainly through PSBLAS.
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This guide provides a brief description of the functionalities and
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the user interface of AMG4PSBLAS.
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