@Article{cmes.2010.066.001,
AUTHOR = {Marcin Maździarz},
TITLE = {Unified Isoparametric 3D LagrangeFinite Elements},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {66},
YEAR = {2010},
NUMBER = {1},
PAGES = {1--24},
URL = {http://www.techscience.com/CMES/v66n1/25568},
ISSN = {1526-1506},
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 <i>x,y,z</i> 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.},
DOI = {10.3970/cmes.2010.066.001}
}