SIAM Journal on Scientific and Statistical Computing
Finite element applications on a shared-memory multiprocessor: algorithms and experimental results
Journal of Computational Physics
Computer Methods in Applied Mechanics and Engineering
Computational fluid mechanics and massively parallel processors
Proceedings of the 1993 ACM/IEEE conference on Supercomputing
Analytical performance prediction on multicomputers
Proceedings of the 1993 ACM/IEEE conference on Supercomputing
Parallel computing (2nd ed.): theory and practice
Parallel computing (2nd ed.): theory and practice
Divide-and-conquer programming on MIMD computers
IPPS '95 Proceedings of the 9th International Symposium on Parallel Processing
Automatic exploitation of dual level parallelism on a network of multiprocessors
HPDC '96 Proceedings of the 5th IEEE International Symposium on High Performance Distributed Computing
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We describe an architecture-adaptable methodology for the parallel implementation of finite element numerical models of physical systems. We use a model of time-dependent ocean currents as our working example. The heart of the computation is the solution of a banded linear system, and we describe an algorithm based on the domain decompositionmethod to solve the banded system. The algorithm is represented in a divide-and-conquer framework facilitates easy implementation of various algorithmic options. The process is straightforward and amenable to automation. We demonstrate the validity of this approach using two radically different target machine, a workstation network and a supercomputer. Our results show very good speedup on both platforms.