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Determining invertible two and three dimensional quadratic isoparametric finite element transformations

โœ Scribed by David A Field

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
357 KB
Volume
25
Category
Article
ISSN
0378-4754

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โœฆ Synopsis

This paper presents an algorithm determining the invertibility of any planar, triangular auadratic isouarametric finite element transformation.

Extensions of the algorithm to three-dimensibnal isoparametric finite element transformations yield guarantee invertibility of lo-node tetrahedra and g-node bricks.

๐Ÿ“œ SIMILAR VOLUMES

Algorithms for determining invertible tw
Algorithms for determining invertible two- and three-dimensional quadratic isoparametric finite element transformations
โœ David A. Field ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 595 KB

This paper presents an algorithm which determines the invertibility of any planar, triangular quadratic isoparametric finite element transformation. Extensions of the algorithm to three-dimensional isoparametric finite element transformations yield conditions which guarantee invertibility of 10-node