Abstract
A parallel multigrid algorithm developed by Chan and Saad [4] is generalized by domain splitting for problems having a greater size than the system size. It is shown by complexity analysis how efficiently problems of this kind can run on hypercube multiprocessor systems. The maximum speedup of problems of size N is given by N/log N. Further, an algebraic expression for efficiency is developed that gives an approximate result for hypercube systems depending on system parameters such as operational speed and transfer capability. Some examples are given for different systems showing the accordance of simulated and algebraic results.
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© 1988 Springer-Verlag Berlin Heidelberg
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Kolp, O. (1988). A Multigrid Algorithm on Hypercube Systems. In: Kastens, U., Rammig, F.J. (eds) Architektur und Betrieb von Rechensystemen. Informatik-Fachberichte, vol 168. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73451-9_5
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DOI: https://doi.org/10.1007/978-3-642-73451-9_5
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