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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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Some results on the global inversion of bilinear and quadratic isoparametric finite element transformations
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by A. E. Frey, C. A. Hall and T. A. Porsching PDF
Math. Comp. 32 (1978), 725-749 Request permission

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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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Math. Comp. 32 (1978), 725-749
  • MSC: Primary 65N30
  • DOI: https://doi.org/10.1090/S0025-5718-1978-0474877-4
  • MathSciNet review: 0474877