Module reference_cell 

Cell definitions.

The reference cells used by ndelement are defined by:

• The reference interval is (\left{x,\middle|,0\leqslant x\leqslant 1\right}).
• The reference triangle is (\left{(x,y),\middle|,0\leqslant x,,0\leqslant y,,x+y\leqslant1\right}).
• The reference quadrilateral is (\left{(x,y),\middle|,0\leqslant x\leqslant1,,0\leqslant y\leqslant1\right}).
• The reference tetrahedron is (\left{(x,y,z),\middle|,0\leqslant x,,0\leqslant y,,0\leqslant z,,x+y+z\leqslant1\right}).
• The reference hexahedron is (\left{(x,y,z),\middle|,0\leqslant x\leqslant1,,0\leqslant y\leqslant1,,0\leqslant z\leqslant1\right}).
• The reference prism is (\left{(x,y,z),\middle|,0\leqslant x,,0\leqslant y,,x+y\leqslant1,,0\leqslant z\leqslant1\right}).
• The reference pyramid is (\left{(x,y,z),\middle|,0\leqslant x,,0\leqslant y,,0\leqslant z\leqslant1,,x+z\leqslant1,,y+z\leqslant1\right}).

Functions

connectivity

The connectivity of the reference cell

dim

The topological dimension of the cell

edges

The edges (dimension 1 entities) of the reference cell

entity_counts

The number of subentities of each dimension

entity_types

The types of the subentities of the reference cell

faces

The faces (dimension 2 entities) of the reference cell

facet_normals

The normals to the facets of the reference cell. The length of each normal is the volume of the facet

facet_unit_normals

The unit normals to the facets of the reference cell

facets

The facets (dimension dim-1 entities) of the reference cell

is_simplex

Is the cell a simplex?

midpoint

The midpoint of the cell

peaks

The peaks (dimension dim-3 entities) of the reference cell

ridges

The ridges (dimension dim-2 entities) of the reference cell

vertices

The vertices of the reference cell

volumes

The volumes (dimension 3 entities) of the reference cell