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