TY - EJOU AU - Maździarz, Marcin TI - Unified Isoparametric 3D LagrangeFinite Elements T2 - Computer Modeling in Engineering \& Sciences PY - 2010 VL - 66 IS - 1 SN - 1526-1506 AB - 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. KW - Finite element method KW - Isoparametric elements KW - Numerical integration DO - 10.3970/cmes.2010.066.001