A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
Numerical Linear Algebra for High Performance Computers
Numerical Linear Algebra for High Performance Computers
Cross-Site Computations on the TeraGrid
Computing in Science and Engineering
SIAM Journal on Scientific Computing
Probabilistically induced domain decomposition methods for elliptic boundary-value problems
Journal of Computational Physics
Supercomputing applications to the numerical modeling of industrial and applied mathematics problems
The Journal of Supercomputing
A survey of load balancing in grid computing
CIS'04 Proceedings of the First international conference on Computational and Information Science
Globus toolkit version 4: software for service-oriented systems
NPC'05 Proceedings of the 2005 IFIP international conference on Network and Parallel Computing
GCC'05 Proceedings of the 4th international conference on Grid and Cooperative Computing
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In this paper, we describe a new kind of domain decomposition strategy for solving linear elliptic boundary-value problems. It outperforms the traditional ones in complex and heterogeneous networks like those for grid computing. Such a strategy consists of a hybrid numerical scheme based on a probabilistic method along with a domain decomposition, and full decoupling can be accomplished. While the deterministic approach is strongly affected by intercommunication among the hosts, the probabilistic method is scalable as the number of subdomains, i.e., the number of processors involved, increases. This fact is clearly illustrated by an example, even operating in a grid environment.