The maximum discrete surface-to-volume ratio of space-filling curve partitions
Maximilien Gadouleau,
Tobias Weinzierl
Abstract:Space-filling curves (SFCs) are used in high performance computing to distribute a computational domain or its mesh, respectively, amongst different compute units, i.e. cores or nodes or accelerators. The part of the domain allocated to each compute unit is called a partition. Besides the balancing of the work, the communication cost to exchange data between units determines the quality of a chosen partition. This cost can be approximated by the surface-to-volume ratio of partitions: the volume represents the … Show more
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