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

Knabner P, Summ G (2001)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2001

Journal

Numerische Mathematik Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 88

Pages Range: 661-681

Journal Issue: 4

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2001/2001_KnSumm_TheInvertibilityOfTheIsoparameForPyramidalAndPrismaticFinEle

DOI: 10.1007/PL00005454

Abstract

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.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

How to cite

APA:

Knabner, P., & Summ, G. (2001). The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements. Numerische Mathematik, 88(4), 661-681. https://dx.doi.org/10.1007/PL00005454

MLA:

Knabner, Peter, and Gerhard Summ. "The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements." Numerische Mathematik 88.4 (2001): 661-681.

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