#
mesh_vtoe

**mesh_vtoe**,
a MATLAB code which
uses ETOV, the element-to-vertex connectivity information, to construct
VTOE, the vertex-to-element connectivity, for a 2D mesh.

The mesh is assumed to consist of E_NUM elements, each of which is defined
by E_ORDER vertices, provided in ETOV, an E_ORDER by E_NUM array.

The desired VTOE information gives, for each vertex, a list of the
elements in which it occurs. It is essentially an "inverse" to ETOV,
but since the number of elements that any vertex can participate in
will vary, the storage for VTOE must use a scheme typically used for
sparse arrays.

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Licensing:

The computer code and data files described and made available on this web page
are distributed under
the GNU LGPL license.

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Languages:

**mesh_vtoe** is available in
a MATLAB version.

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Related Data and Programs:

mesh_bandwidth,
a MATLAB code which
returns the geometric bandwidth associated with a mesh of
elements of any order and in a space of arbitrary dimension.

mesh_display,
a MATLAB code which
plots the nodes and elements of a polygonal mesh, with optional numbering.

mesh_etoe,
a MATLAB code which
uses ETOV, the mesh element-to-vertex connectivity,
to construct ETOE, the element-to-element connectivity.

mesh_vtoe_test

neighbors_to_metis_graph,
a MATLAB code which
reads a triangle mesh neighbor file created by TRIANGULATION_TRIANGLE_NEIGHBORS
and writes a modified version of the same data suitable for input
to the mesh partitioning program metis().

quad_mesh,
a MATLAB code which
handles meshes of quadrilaterals over a 2D region;

triangulation_boundary_nodes,
a MATLAB code which
reads data defining a triangulation, determines which nodes
lie on the boundary, and writes their coordinates to a file.

triangulation_display,
a MATLAB code which
displays the nodes and elements of a triangulation
on the MATLAB graphics screen;

triangulation_triangle_neighbors,
a MATLAB code which
reads data defining a triangulation, determines the neighboring
triangles of each triangle, and writes that information to a file.

voronoi_neighbors,
a MATLAB code which
is given a set of points in the plane and determines the
Voronoi adjacency structure, that is, which points share an
edge of the Voronoi diagram.

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Source Code:

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Last revised on 20 February 2019.
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