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The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements

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Summary.

We consider the isoparametric transformation, which maps a given reference element onto a global element given by its vertices, for multi-linear finite elements on pyramids and prisms. We present easily computable conditions on the position of the vertices, which ensure that the isoparametric transformation is bijective.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Martensstrasse 3, 91058 Erlangen, Germany; e-mail: {knabner,summ}@am.uni-erlangen.de , , , , , , DE

    Peter Knabner & Gerhard Summ

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  1. Peter Knabner
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  2. Gerhard Summ
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Received May 7, 1999 / Revised version received April 28, 2000 / Published online December 19, 2000

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Knabner, P., Summ, G. The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements. Numer. Math. 88, 661–681 (2001). https://doi.org/10.1007/PL00005454

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  • DOI: https://doi.org/10.1007/PL00005454

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