Iterative Substructuring Methods the General Elliptic Case

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Iterative Substructuring Methods the General Elliptic Case
Olof B Widlund
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We note that Petter Bj«$rstad and Anders Hvidsten of the University of Bergen, have begun an ambitious study of a number of large industrial problems using industrial software modified to allow the use of iterative substructuring methods.
Iterative substructuring methods also show a clear promise for parallel computing. We can expect that finite element codes designed as indicated above will perform quite well without major modifications on parallel systems with a modest number of processors. I
...t can also be plausibly argued that when the number of processors grows, bottlenecks might occur primarily in the part of the computation that involves the interaction between the substructures. The costs of this phase, both in terms of arithmetic and communication, can be considerably decreased by using iterative substructuring methods. No firm conclusions can however be drawn until more experience has been gained in actual experiments. We note that Keyes and Gropp [2^4] have already undertaken such a study on an Intel Hypercube.

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