Conditions for the invertibility of the isoparametric mapping for hexahedral finite elements

Knabner P, Korotov S, Summ G (2003)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2003

Journal

Finite Elements in Analysis and Design Elsevier

Publisher: Elsevier

Book Volume: 40

Pages Range: 159-172

Journal Issue: 2

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2003/2003_KnKorotovSumm_ConditionsForTheInvertOfTheIsoparaMappingForHexFiniteElements

DOI: 10.1016/S0168-874X(02)00196-8

Abstract

The conditions for the invertibility of the isoparametric mapping for hexahedral finite elements are discussed. The mapping gives a reference element onto a global element for trilinear finite elements. An algorithm that checks the positivity of the Jacobian determinant depending on the position of the vertices is also presented.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

How to cite

APA:

Knabner, P., Korotov, S., & Summ, G. (2003). Conditions for the invertibility of the isoparametric mapping for hexahedral finite elements. Finite Elements in Analysis and Design, 40(2), 159-172. https://dx.doi.org/10.1016/S0168-874X(02)00196-8

MLA:

Knabner, Peter, Sergey Korotov, and Gerhard Summ. "Conditions for the invertibility of the isoparametric mapping for hexahedral finite elements." Finite Elements in Analysis and Design 40.2 (2003): 159-172.

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