B modeling
==============


Characteristics of modeling
------------------------

The characteristics are identical to the reference solution. The modeling is of type3D_ DIL, formulation DIL_INCO with a zero penalty coefficient.


Characteristics of the mesh
----------------------------

Number of knots 9009

Number of TRIA6 768

Number of TETRA10 12288

Number of group of elements 6


Tested sizes and results
------------------------------

The quantities tested relate to error standards :math:`\theta (\mathrm{\nabla }X)` and :math:`\theta (\varepsilon )` according to the relationships:

:math:`\theta (\mathrm{\nabla }\chi )\mathrm{=}\sqrt{{\mathrm{\int }}_{\mathit{boule}}(\mathrm{\nabla }{\chi }^{\mathit{analytique}}(X)\mathrm{-}\mathrm{\nabla }{\chi }^{\mathit{numérique}}(X))}`

:math:`\theta (\varepsilon )\mathrm{=}\sqrt{{\mathrm{\int }}_{\mathit{boule}}({\varepsilon }^{\mathit{analytique}}(X)\mathrm{-}{\varepsilon }^{\mathit{numérique}}(X))}`



The reference is here considered to be 'NON_REGRESSION' as long as the test focuses on the :math:`\theta (\mathrm{\nabla }X)` and :math:`\theta (\varepsilon )` error standards and not on the :math:`\mathrm{\nabla }X` and :math:`\varepsilon` components.






.. csv-table::

    "**Tested value**", "**Instant**", "**Reference**", "**Criterion**", "**Aster**", "**Tolerance**"
    ":math:`\theta (\varepsilon )` ", "1.0", "'NON_REGRESSION'", "'", "RELATIF "," 0.004688", "0.1%"
    ":math:`\theta (\mathrm{\nabla }X)` ", "1.0", "'NON_REGRESSION'", "'", "RELATIF "," 0.06", "0.1%"