Non-uniform 2-D grid partitioning for heterogeneous parallel architectures

Numerous applications in science and engineering have a problem space that can be represented as a 2-dimensional grid. While some of these problems exhibit uniform computational requirements over all regions of the grid, others are non-uniform: that is, some regions of the grid have more data points than others. We introduce a new block decomposition method, Fair Binary Recursive Decomposition (FBRD), which as suitable for a collection of heterogeneous processors, and extend it to accommodate non-uniform problems (NUFBRD). Mathematical comparisons of the NUFBRD method and other common partitioning schemes are presented to show the expected performance level of this new decomposition technique