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On solving nearly incompressible 2D problems using an adaptive refinement procedure

✍ Scribed by Lee, C. K. ;Hobbs, R. E.

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 219 KB
Volume: 14
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199805)14:5<409::aid-cnm152>3.0.co;2-u

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✦ Synopsis

A numerical study is carried out employing some selected 2D elements and an automatic adaptive re®nement procedure for the solution of a problem involving a nearly incompressible material. For a material with Poisson's ratio close to 0 . 5, it is found that both hybrid elements and high-order Lagrangian triangles can be used to provide a reliable solution. Furthermore, the rate of convergence of the elements is not aected by the high value of Poisson's ratio, and a near-optimal convergence rate is achieved in all the numerical tests run.

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