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Mathematics of Computation

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Some results on the global inversion of bilinear and quadratic isoparametric finite element transformations


Authors: A. E. Frey, C. A. Hall and T. A. Porsching
Journal: Math. Comp. 32 (1978), 725-749
MSC: Primary 65N30
DOI: https://doi.org/10.1090/S0025-5718-1978-0474877-4
MathSciNet review: 0474877
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Abstract: This paper contains sufficient conditions under which a map whose domain is a compact set is a bijection onto a given set. Relative to certain isoparametric finite element maps, one set of conditions involves the nonvanishing of the Jacobian; another the notion of overspill. An algorithm based on elimination is given for the numerical inversion of these maps.


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DOI: https://doi.org/10.1090/S0025-5718-1978-0474877-4
Article copyright: © Copyright 1978 American Mathematical Society