Abstract

The sparse blocked matrix populations associated with multiply connected, multi-zone boundary element models experience significant block fill-in during direct matrix factorization. In this paper, it is shown that dramatic improvements in the computational efficiency of the overall matrix factorization step can be achieved for such problems by employing a zone condensation concept. Through a series of example problems this effect is quantified, including graphic depiction of matrix populations, both with and without zone condensation. Computer storage and cpu timing statistics are also given. A problem of the generation of singular blocks is also discussed in the analysis of multi-zone boundary element models even when no rigid body motion is possible in the overall structure. This problem is shown to occur when matrix blocks are improperly ordered, and an ordering scheme that overcomes this problem is demonstrated by numerical examples.

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