A second-order accurate pressure correction scheme for viscous incompressible flow
SIAM Journal on Scientific and Statistical Computing
Parallel and distributed computation: numerical methods
Parallel and distributed computation: numerical methods
Iterative solution methods
Asynchronous iterative algorithms with flexible communication for nonlinear network flow problems
Journal of Parallel and Distributed Computing
A new class of asynchronous iterative algorithms with order intervals
Mathematics of Computation
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
Using MPI-2: Advanced Features of the Message Passing Interface
Using MPI-2: Advanced Features of the Message Passing Interface
SIAM Journal on Scientific Computing
Asynchronism for Iterative Algorithms in a Global Computing Environment
HPCS '02 Proceedings of the 16th Annual International Symposium on High Performance Computing Systems and Applications
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
On deflation and singular symmetric positive semi-definite matrices
Journal of Computational and Applied Mathematics
GREMLINS: a large sparse linear solver for grid environment
Parallel Computing
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Parallel asynchronous iterative algorithms exhibit features that are extremely well-suited for Grid computing, such as lack of synchronization points. Unfortunately, they also suffer from slow convergence rates. In this paper we propose using asynchronous methods as a coarse-grained preconditioner in a flexible iterative method, where the preconditioner is allowed to change in each iteration step. A full implementation of the algorithm is presented using Grid middleware that allows for both synchronous and asynchronous communication. Advantages and disadvantages of the approach are discussed. Numerical experiments on heterogeneous computing hardware demonstrate the effectiveness of the proposed algorithm on Grid computers, with application to large 2D and 3D bubbly flow problems.