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.. _conventions_storage:
Data storage
============
Glossary
--------
+-----------+-------------------------------+-------------------------------------+
| Alias | Shape | Description |
+===========+===============================+=====================================+
| *dofval* | [ndof] | degrees of freedom |
+-----------+-------------------------------+-------------------------------------+
| *nodevec* | [nnode, ndim] | nodal vector |
+-----------+-------------------------------+-------------------------------------+
| *elemvec* | [nelem, nne, ndim] | nodal vector stored per element |
+-----------+-------------------------------+-------------------------------------+
| *elemmat* | [nelem, nne*ndim, nne*ndim] | matrix stored per element |
+-----------+-------------------------------+-------------------------------------+
| *qscalar* | [nelem, nip] | scalar stored per integration point |
+-----------+-------------------------------+-------------------------------------+
| *qtensor* | [nelem, nip, tdim, tdim, ...] | tensor stored per integration point |
+-----------+-------------------------------+-------------------------------------+
dofval
------
* Degrees-of-freedom
* Shape [ndof]
* :code:`xt::xtensor<double,1>`
nodevec
-------
* Nodal vectors
* Shape [nnode, ndim]
* :code:`xt::xtensor<double,2>`
elemvec
-------
* Nodal vectors stored per element
* Allows treatment of all elements independently, no connectivity needed
* Shape [nelem, nne, ndim]
* :code:`xt::xtensor<double,3>`
elemmat
-------
* Matrices stored per element
* Shape [nelem, nne*ndim, nne*ndim]
* :code:`xt::xtensor<double,3>`
qscalar
-------
* Scalars stored per integration point
* Shape [nelem, nip]
* :code:`xt::xtensor<double,2>`
qtensor (2nd order)
-------------------
* 2nd-order tensors stored per integration point
* For certain elements, the number of dimensions of the tensor can be larger than the
number of dimensions of the element (tdim >= ndim)
* Shape [nelem, nip, tdim, tdim]
* :code:`xt::xtensor<double,4>`
qtensor (4th order)
-------------------
* 4th-order tensors stored per integration point
* For certain elements, the number of dimensions of the tensor can be larger than the
number of dimensions of the element (tdim >= ndim)
* Shape [nelem, nip, tdim, tdim, tdim, tdim]
* :code:`xt::xtensor<double,4>`
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