Double mapping of isoparametric mesh generation

Although coordinate-transformation techniques, such as conventional curvilinear isoparametric mesh generating method, normally produce well conditioned meshes, they are commonly the most restrictive mesh generators. This is due mainly to the fact that the number of nodes on the opposite sides of the...

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Bibliographic Details
Published in:Computers & structures 1996-01, Vol.59 (3), p.471-477
Main Authors: Kadivar, M.H., Sharifi, H.
Format: Article
Language:English
Subjects:
Computational techniques
Exact sciences and technology
Finite-element and galerkin methods
Mathematical methods in physics
Physics
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Summary:Although coordinate-transformation techniques, such as conventional curvilinear isoparametric mesh generating method, normally produce well conditioned meshes, they are commonly the most restrictive mesh generators. This is due mainly to the fact that the number of nodes on the opposite sides of the superelement should be equal [H. Kardestuncer, Finite Element Handbook. McGraw-Hill, New York (1987)]. In this paper, the isoparametric method is improved for two- and three-dimensional problems, such that the opposite sides can have different number of nodes. The extended isoparametric method gives much more flexibility in choosing the number of nodes and looks promising for applying different methods of adaptive mesh generation [M. H. Kadiver and A. Korminezhad, Automatic mesh generation by triangulation, double, isoparametric mapping and bisection mapping, Proc. 10 th IASTED Int Conf. Applied Informatic, Innsbruck, Austria (1992)]. A similar method also can be applied in a blending-function mesh generator.
ISSN:0045-7949
1879-2243
DOI:10.1016/0045-7949(95)00272-3