A prefix code matching parallel load-balancing method for solution-adaptive unstructured finite element graphs on distributed memory multicomputers

In this paper, we propose a prefix code matching parallel load-balancing method (PCMPLB) to efficiently deal with the load unbalancing problems of solution-adaptive finite element application programs on distributed memory multicomputers. The main idea of the PCMPLB method is first to construct a prefix code tree for processors. Based on the prefix code tree, a schedule for performing load transfer among processors can be determined by concurrently and recursively dividing the tree into two subtrees and finding a maximum matching for processors in the two subtrees until the leaves of the prefix code tree are reached. The experimental results show that the execution time of an application program under the PCMPLB method is less than that of the direct diffusion method and the multilevel diffusion method.