Treatment in Aster
=====================


Kinematic loads
------------------------

A kinematic load (*Aster* type: char_cine_*[* = meca/ther/acou]) makes it possible to characterize the set G of imposed ddls and the :math:`{({u}_{0})}_{i}` for :math:`i\in G` which are the values assigned to these ddls.

The definition of a kinematic load is done using the operator AFFE_CHAR_CINE for the (u0) i constants or functions of geometry or time.


Kinematic vectors
-------------------------

The kinematic vector is a fiel_no_* that represents vector :math:`\left[\begin{array}{}0\\ {u}_{0}\end{array}\right]`.

A kinematic vector corresponds to each kinematic load.

This operation is performed by the operator CALC_CHAR_CINE.


Calculation of K'
------------

K′ is directly calculated at the time of assembly by the operator ASSE_MATRICE provided, of course, that a list of kinematic loads is provided as an argument.

The MATR_ASSE_ * data structure has been modified so that K' can be stored when needed.


Calculation of f'
------------

After the operator FACTORISERle concept of type matr_ass_* produces, contains the factorized of K' and the matrix KLG unchanged.

The calculation of f' is performed at the time of the resolution: the operator RESOUDRE must be provided as an argument with the kinematic vector corresponding to :math:`\left[\begin{array}{}0\\ {u}_{0}\end{array}\right]` using the keyword CHAM_CINE.

This operator then calculates :math:`f\text{'}` before solving :math:`\text{fact}(K\text{'})\left[\begin{array}{}{u}_{L}\\ {u}_{G}\end{array}\right]=f\text{'}`.