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Mathematics of Computation

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An algorithm for determining invertible quadratic isoparametric finite element transformations


Author: David A. Field
Journal: Math. Comp. 37 (1981), 347-360
MSC: Primary 65N30; Secondary 65H10
MathSciNet review: 628700
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Abstract: This paper derives an algorithm which determines the invertibility of arbitrary two-dimensional quadratic isoparametric finite element transformations. Theorems verifying the algorithm and guiding the construction of invertible transformations are proven.


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DOI: https://doi.org/10.1090/S0025-5718-1981-0628700-5
Article copyright: © Copyright 1981 American Mathematical Society