2LEV-D2P4 swMATH ID: 9 Software Authors: Buttari, Alfredo; D'Ambra, Pasqua; di Serafino, Daniela; Filippone, Salvatore Description: 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. Homepage: http://www.mld2p4.it/index.php Keywords: parallel numerical software; algebraic two-level preconditioners; sparse linear algebra; numerical examples; domain decomposition; additive Schwarz preconditioners; large-scale linear systems Related Software: MLD2P4; PSBLAS; BoomerAMG; Trilinos; SParC-LES; hypre; UMFPACK; BootCMatch; ML; MPI; BLACS; AmgX; CUDA; BootCMatchG; GitHub; Alya; PETSc; SuperLU; BLAS; pARMS Cited in: 10 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year 2LEV-D2P4: a package of high-performance preconditioners for scientific and engineering applications. Zbl 1122.65046Buttari, Alfredo; D’Ambra, Pasqua; di Serafino, Daniela; Filippone, Salvatore 2007 all top 5 Cited by 13 Authors 8 Filippone, Salvatore 7 D’Ambra, Pasqua 6 di Serafino, Daniela 2 Buttari, Alfredo 1 Abdullahi Hassan, Ambra 1 Abdullahi, Ambra 1 Aprovitola, Andrea 1 Borzì, Alfio 1 Cardellini, Valeria 1 De Simone, Valentina 1 Denaro, Filippo Maria 1 Durastante, Fabio 1 Emans, Maximilian all top 5 Cited in 7 Serials 2 ACM Transactions on Mathematical Software 1 Journal of Computational and Applied Mathematics 1 Parallel Computing 1 Applicable Algebra in Engineering, Communication and Computing 1 SIAM Journal on Scientific Computing 1 Computing and Visualization in Science 1 Parallel Processing Letters Cited in 4 Fields 9 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) Citations by Year