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

Alfredo Buttari (1, 2) , Pasqua D’ambra , Daniela Di Serafino (3) , Salvatore Filippone (4)

1 IRIT-APO - Algorithmes Parallèles et Optimisation
2 CNRS - Centre National de la Recherche Scientifique
3 Second University of Naples-Caserta
4 University of Rome "Tor Vergeta"

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.

Domaines: Informatique [cs]; Calcul parallèle, distribué et partagé [cs.DC]; Logiciel mathématique [cs.MS]

Alfredo Buttari, Pasqua D’ambra, Daniela Di Serafino, Salvatore Filippone. 2LEV-D2P4: a package of high-performance preconditioners for scientific and engineering applications. Applicable Algebra in Engineering, Communication and Computing, 2007, 18 (3), pp.223-239. ⟨10.1007/s00200-007-0035-z⟩. ⟨hal-02421066⟩