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- W65755722 abstract "This paper summarizes investigations concerning the algorithmic scalability of multigrid methods for partial di erential equations on MIMD distributed memory systems. It is shown that even multigrid methods which are distinguished by h-independent convergence rates are not scalable in a rigorous sense. We develop their parallel asymptotic computational complexity for di erent types of multigrid cycles and analyze their critical components with respect to scalability. Experimental results for two Navier-Stokes test problems presented in the last section of this paper show, however, that the theoretically predicted dependency of the combined numerical and parallel e ciencies of multigrid methods on the number of processors employed is in fact very weak. This leads to the conclusion that multigrid is also with respect to scalability an appropriate candidate for solving partial di erential equations on massively parallel machines." @default.
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- W65755722 date "1993-01-02" @default.
- W65755722 modified "2023-09-23" @default.
- W65755722 title "Block-structured multigrid for the Navier-Stokes equations: experiences and scalability questions" @default.
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