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Some results on the global inversion of bilinear and quadratic isoparametric finite element transformations
A. E. Frey, C. A. Hall, T. A. Porsching
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Source: Crossref
Published: Jan 1, 1978
DOI: 10.1090/s0025-5718-1978-0474877-4
Open original source ↗Source 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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