M. Griebel and G. Zumbusch.
Hash based adaptive parallel multilevel methods with space-filling
In H. Rollnik and D. Wolf, editors, NIC Symposium 2001,
volume 9 of NIC Series, ISBN 3-00-009055-X, pages 479-492, Germany,
2002. Forschungszentrum Jülich.
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The solution of partial differential equations on a parallel computer usually follows the data parallel paradigm. The grid is partitioned and mapped onto the processors. In this paper a parallelisable and cheap method based on space-filling curves is proposed. The partitioning is embedded into the parallel solution algorithm using multilevel iterative solvers and adaptive grid refinement. Numerical experiments on two massively parallel computers prove the efficiency of this approach.