Open Access

ARTICLE

Unified Isoparametric 3D LagrangeFinite Elements

Marcin Maździarz¹

1 Institute of Fundamental Technological Research Polish Academy of Sciences, Warsaw, Poland

Computer Modeling in Engineering & Sciences 2010, 66(1), 1-24. https://doi.org/10.3970/cmes.2010.066.001

Abstract

The paper presents unified approach to 3D isoparametric Lagrange brick, tetra, and prism finite elements. All shape functions, linear, quadratic and cubic, are depicted in one Cartesian orthogonal coordinate system x,y,z regardless of the type of element. This allows one to use a single transformation rule to calculate global derivatives and a second for integration. Proper numerical Gauss quadratures for these isoparametric elements in a unified approach are presented additionally.

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Keywords

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