✦ LIBER ✦

A multilevel hierarchical preconditioner for thin elastic solids

✍ Scribed by John A. Mitchell; J. N. Reddy

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 141 KB
Volume: 43
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19981230)43:8<1383::aid-nme473>3.0.co;2-v

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✦ Synopsis

In this study, a multilevel, recursively deÿned preconditioner, for use with the Preconditioned Conjugate Gradient (PCG) algorithm in connection with the ÿnite element analysis of elastostatics is developed. The preconditioner is constructed from a sequence of hierarchical vector spaces arising from the p-version of the ÿnite element method. Results from parametric studies evaluating the e ects of skewed elements, orthotropic material properties, and extreme span ratios, for p = 2 and 3 are given. The results indicate that the preconditioner may be used to produce an e cient solver. The e ciency of the iterative procedure is illustrated using thin elastic solids. Results indicate that the preconditioner developed herein can be used to produce an e cient iterative solver for two-and three-dimensional problems in structural mechanics. ?

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