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Experimental study of methods for parallel preconditioned Krylov methods. Research report

Technical Report ·
OSTI ID:6566518
High-performance multiprocessor architectures differ both in the number of processors, and in the delay costs for synchronization and communication. In order to obtain good performance on a given architecture for a given problem, adequate parallelization, good balance of load and an appropriate choice of granularity are essential. This document discusses the implementation of parallel version of PCGPAK for both shared-memory architectures and hypercubes. The authors' parallel implementation is sufficiently efficient to allow them to complete the solution of the test problems on 16 processors of the Encore Multimax/320 in an amount of time that is a small multiple of that required by a single head of a Cray X/MP, despite the fact that the peak performance of the Multimax processors is not even close to that of the supercomputer range. The authors illustrate the effectiveness of the approach on a number of model problems from reservoir engineering and mathematics.
Research Organization:
Yale Univ., New Haven, CT (USA). Dept. of Computer Science
OSTI ID:
6566518
Report Number(s):
AD-A-198697/5/XAB; YALEU/DCS/RR-629
Country of Publication:
United States
Language:
English

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