SIAM Journal on Scientific and Statistical Computing
High performance preconditioning
SIAM Journal on Scientific and Statistical Computing
Application of sparse matrix solvers as effective preconditioners
SIAM Journal on Scientific and Statistical Computing
Partitioning sparse matrices with eigenvectors of graphs
SIAM Journal on Matrix Analysis and Applications
Introduction to parallel computing: design and analysis of algorithms
Introduction to parallel computing: design and analysis of algorithms
A flexible inner-outer preconditioned GMRES algorithm
SIAM Journal on Scientific Computing
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Parallel Computing - Special issue on applications: parallel computing methods in applied fluid mechanics
SIAM Journal on Scientific Computing
BILUTM: A Domain-Based Multilevel Block ILUT Preconditioner for General Sparse Matrices
SIAM Journal on Matrix Analysis and Applications
Developments and trends in the parallel solution of linear systems
Parallel Computing - Special Anniversary issue
Preconditioned iterative methods and finite difference schemes for convection-diffusion
Applied Mathematics and Computation
Distributed Schur Complement Techniques for General Sparse Linear Systems
SIAM Journal on Scientific Computing
A Priori Sparsity Patterns for Parallel Sparse Approximate Inverse Preconditioners
SIAM Journal on Scientific Computing
Applied Numerical Mathematics
Enhanced multi-level block ILU preconditioning strategies for general sparse linear systems
Journal of Computational and Applied Mathematics
Scalable Parallel Computing: Technology,Architecture,Programming
Scalable Parallel Computing: Technology,Architecture,Programming
Numerical Linear Algebra for High Performance Computers
Numerical Linear Algebra for High Performance Computers
Computer Solution of Large Sparse Positive Definite
Computer Solution of Large Sparse Positive Definite
A Multilevel Dual Reordering Strategy for Robust Incomplete LU Factorization of Indefinite Matrices
SIAM Journal on Matrix Analysis and Applications
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
An MPI Implementation of the SPAI Preconditioner on the T3E
International Journal of High Performance Computing Applications
The Korean Journal of Computational & Applied Mathematics
A fully parallel block independent set algorithm for distributed sparse matrices
Parallel Computing - Special issue: Parallel and distributed scientific and engineering computing
Distributed block independent set algorithms and parallel multilevel ILU preconditioners
Journal of Parallel and Distributed Computing
Parallel direct Poisson solver for discretisations with one Fourier diagonalisable direction
Journal of Computational Physics
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We discuss issues related to domain decomposition and multilevel preconditioning techniques which are often employed for solving large sparse linear systems in parallel computations. We implement a parallel preconditioner for solving general sparse linear systems based on a two level block ILU factorization strategy. We give some new data structures and strategies to construct a local coefficient matrix and a local Schur complement matrix on each processor. The preconditioner constructed is fast and robust for solving certain large sparse matrices. Numerical experiments show that our domain based two level block ILU preconditioners are more robust and more efficient than some published ILU preconditioners based on Schur complement techniques for parallel sparse matrix solutions.