||CMES: Computer Modeling in Engineering & Sciences, Vol. 66, No. 1, pp. 1-24, 2010
||Full length paper in PDF format. Size = 824,303 bytes
||Finite element method, Isoparametric elements, Numerical integration
||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.