Determining invertible two and three dimensional quadratic isoparametric finite element transformations

David A Field

Mathematics and Computers in Simulation (MATCOM), 1983, vol. 25, issue 6, 485-488

Abstract: This paper presents an algorithm determining 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 tetrahedra and 8-node bricks.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:25:y:1983:i:6:p:485-488

DOI: 10.1016/0378-4754(83)90116-7

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