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Mesh.rst

****
Mesh
****
| :download:`GooseFEM/Mesh.h <../../include/GooseFEM/Mesh.h>`
| :download:`GooseFEM/Mesh.hpp <../../include/GooseFEM/Mesh.hpp>`
Mesh::dofs
----------
Get a sequential list of DOF-numbers for each vector-component of each node. For example for 3 nodes in 2 dimensions the output is
.. math::
\begin{bmatrix}
0 & 1 \\
2 & 3 \\
4 & 5
\end{bmatrix}
Mesh::Renumber
--------------
Renumber (DOF) indices to lowest possible indices. For example:
.. math::
\begin{bmatrix}
0 & 1 \\
5 & 4
\end{bmatrix}
is renumbered to
.. math::
\begin{bmatrix}
0 & 1 \\
3 & 2
\end{bmatrix}
Or, in pseudo-code, the result of this function is that:
.. code-block:: python
dofs = renumber(dofs)
sort(unique(dofs[:])) == range(max(dofs+1))
.. tip::
One can use the wrapper function "GooseFEM::reorder" or the class "Mesh::Reorder" to get more advanced features.
Mesh::Reorder
-------------
Reorder (DOF) indices such to the lowest possible indices, such that some items are at the beginning or the end. For example:
.. math::
\mathrm{dofs} =
\begin{bmatrix}
0 & 1 \\
2 & 3 \\
4 & 5
\end{bmatrix}
with
.. math::
\mathrm{idx} =
\begin{bmatrix}
0 & 1
\end{bmatrix}
Implies that ``dofs`` is renumbered such that 0 becomes the one-before-last index (:math:`0 \rightarrow 4`), and the 1 becomes the last index (:math:`1 \rightarrow 5`). The remaining items are renumbered to the lowest index while keeping the same order. The result:
.. math::
\begin{bmatrix}
4 & 5 \\
0 & 1 \\
2 & 3
\end{bmatrix}
.. tip::
One can use the wrapper function "GooseFEM::reorder" or the class "Mesh::Reorder" to get more advanced features.
Mesh::coordination
------------------
Get the number of elements connected to each node.
Mesh::elem2node
---------------
Get the element numbers (columns) that are connected to each node (rows).

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