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

  • Authors:

  • Alfredo Buttari;Pasqua D’Ambra;Daniela di Serafino;Salvatore Filippone

  • Affiliations:

  • University of Tennessee at Knoxville, Innovative Computing Lab, Department of Computer Science, 1122 Volunteer Blvd., 37996, Knoxville, TN, USA;Institute for High-Performance Computing and Networking, CNR, Via Pietro Castellino 111, 80131, Naples, TN, Italy;Second University of Naples, Department of Mathematics, Via Vivaldi 43, 81100, Caserta, TN, Italy;University of Rome “Tor Vergata”, Department of Mechanical Engineering, Viale del Politecnico, 00133, Rome, TN, Italy

  • Venue:
  • Applicable Algebra in Engineering, Communication and Computing
  • Year:
  • 2007

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Abstract

We present a package of parallel preconditioners which implements one-level and two-level Domain Decomposition algorithms on the top of the PSBLAS library for sparse matrix computations. The package, named 2LEV-D2P4 (Two-LEVel Domain Decomposition Parallel Preconditioners Package based on PSBLAS), currently includes various versions of additive Schwarz preconditioners that are combined with a coarse-level correction to obtain two-level preconditioners. A pure algebraic formulation of the preconditioners is considered. 2LEV-D2P4 has been written in Fortran~95, exploiting features such as abstract data type creation, functional overloading and dynamic memory management, while providing a smooth path towards the integration in legacy application codes. The package, used with Krylov solvers implemented in PSBLAS, has been tested on large-scale linear systems arising from model problems and real applications, showing its effectiveness.