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The Refinement-Tree Partition for Parallel Solution of Partial Differential Equations



William F. Mitchell


Dynamic load balancing is considered in the context of adaptive multilevel methods for partial differential equations on distributed memory multiprocessors. An approach that periodically repartitions the grid is taken. The important properties of a partitioning algorighm are presented and discussed in this context. A partitioning algorithm based on the refinement tree of the adaptive grid is presented and analyzed in terms of these properties. Theoretical and numerical results are given.
Journal of Research (NIST JRES) -
103 No. 4


partial differential equations, partitioning algorithm, refinement tree partitions


Mitchell, W. (1998), The Refinement-Tree Partition for Parallel Solution of Partial Differential Equations, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD, [online], (Accessed June 21, 2024)


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Created July 1, 1998, Updated June 2, 2021