Domain decomposition algorithms for indefinite elliptic problems
SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
An arbitrary Lagrangian-Eulerian computing method for all flow speeds
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Level 3 basic linear algebra subprograms for sparse matrices: a user-level interface
ACM Transactions on Mathematical Software (TOMS)
A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
SIAM Journal on Scientific Computing
PSBLAS: a library for parallel linear algebra computation on sparse matrices
ACM Transactions on Mathematical Software (TOMS)
Parallel smoothed aggregation multigrid: aggregation strategies on massively parallel machines
Proceedings of the 2000 ACM/IEEE conference on Supercomputing
MPI-The Complete Reference, Volume 1: The MPI Core
MPI-The Complete Reference, Volume 1: The MPI Core
ACM Transactions on Mathematical Software (TOMS)
An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms
SIAM Journal on Numerical Analysis
BoomerAMG: a parallel algebraic multigrid solver and preconditioner
Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss
Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method
ACM Transactions on Mathematical Software (TOMS)
A simulation model for forest fires
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
Extending PSBLAS to build parallel schwarz preconditioners
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
ACM Transactions on Mathematical Software (TOMS)
FAST-EVP: an engine simulation tool
HPCC'05 Proceedings of the First international conference on High Performance Computing and Communications
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003
ACM Transactions on Mathematical Software (TOMS)
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Design and implementation issues that concern the development of a package of parallel algebraic two-level Schwarz preconditioners are discussed. The computations are based on the Parallel Sparse BLAS (PSBLAS) library. The package implements various versions of Additive Schwarz preconditioners and applies a smoothed aggregation technique to generate a coarse-level correction. The coarse matrix can be either replicated on the processors or distributed among them; the corresponding system is solved by factorization or block Jacobi sweeps, respectively. The design of the package started from a description of the preconditioners in terms of parallel basic Linear Algebra operators, in order to develop software based on standard kernels. Suitable preconditioner data structures were defined to fully exploit the existing PSBLAS functionalities; however, the implementation of the preconditioner required also an extension of the set of basic library kernels. The results of experiments carried out on different test matrices show that the package is competitive in terms of runtime efficiency.