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Incorporation of linear multipoint constraints in substructure based iterative solvers. Part 1: a numerically scalable algorithm

✍ Scribed by Charbel Farhat; Catherine Lacour; Daniel Rixen


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
149 KB
Volume
43
Category
Article
ISSN
0029-5981

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✦ Synopsis


We consider the iterative solution by a class of substructuring methods of the large-scale systems of equations arising from the ÿnite element discretization of structural models with an arbitrary set of linear multipoint constraints. We present a methodology for generalizing to such problems numerically scalable substructure based iterative solvers, without interfering with their formulations and their well-established local and global preconditioners. We apply this methodology to the FETI method, and show that the resulting algorithm is numerically scalable with respect to both the substructure and problem sizes. ?