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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received May 7, 1999 / Revised version received April 28, 2000 / Published online December 19, 2000
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1007/PL00005454