Discretization
==============


Degrees of freedom
------------------


.. csv-table::

    "**Modeling**", "**Degrees of Freedom**
    **(at each vertex node)**"



.. csv-table::

    "3D, 3D_SI", "DX: next move :math:`X`"
    "", "DY: next move :math:`Y`"
    "", "DZ: next move :math:`Z`"



Support mesh for stiffness matrices
---------------------------------------

The finite element support meshes can be tetrahedra, pyramids, prisms or hexahedra. The elements are iso-parametric.


.. csv-table::

    "**Modeling**", "**Mesh**", "**Interpolation**", "**Remarks**"



.. csv-table::

    "3D", "TETRA4 ", "Linear", ""
    "3D", "TETRA10 ", "Quadratic", ""
    "3D_SI", "TETRA10 ", "Quadratic", "reduced integration"
    "3D", "PYRAM5 ", "Linear", ""
    "3D", "PYRAM13 ", "Quadratic", ""
    "3D", "PENTA6 ", "Bi-linear", ""
    "3D", "PENTA15 ", "Serendip", ""
    "3D", "HEXA8 ", "Tri-linear", ""
    "3D_SI", "HEXA8 ", "Tri-linear", "assumed strain" method"
    "3D", "HEXA20 ", "Serendip", ""
    "3D_SI", "HEXA20 ", "Serendip", "reduced integration"
    "3D", "HEXA27 ", "Tri-Quadratic", ""



Cargo support mesh
------------------------------


.. csv-table::

    "**Modeling**", "**Mesh**", "**Interpolation**", "**Remarks**"



.. csv-table::

    "3D, 3D_SI", "TRIA3 ", "Linear or", ""
    "", "", "Bi-Linear", ""
    "", "TRIA6 ", "Quadratic or", ""
    "", "", "Serendip", ""
    "", "QUAD4 ", "Bi-linear", ""
    "", "QUAD8 ", "Serendip", ""
    "", "QUAD9 ", "Quadratic", ""