Determining invertible two and three dimensional quadratic isoparametric finite element transformations |
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| Authors: | David A Field |
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| Affiliation: | General Motors Research Laboratories, Mathematics Department, Warren, MI 48090-9055, U.S.A. |
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| 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. |
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