Multidimensional Static Block Data Decomposition for Heterogeneous Clusters Alexey Kalinov, and Sergey Klimov Institute for System Programming of Russian Academy of Sciences 25, Bolshaya Kommunisticheskaya str., Moscow 1090045, Russia {ka,sergey}@ispras.ru We propose general static block and block-cyclic heterogeneous decomposition of multidimensional data over processes of parallel program mapped onto multidimensional process grid. The decomposition is compared with decomposition of two-dimensional data over two-dimensional process grid of Beaumont et al and with natural decomposition of three-dimensional data over three-dimensional process grid.