Rheolef
7.2
an efficient C++ finite element environment
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The triangle reference_element
is K = [0,1]
.
K = { 0 < x0 < 1 and 0 < x1 < 1-x0 } x1 2 | + | + | + | + 0---------1 x0
This two-dimensional reference_element
is then transformed, after the Piola geometrical application, as a triangle in a 2D or 3D physical space, as a geo_element
.
Curved high order transformed geo_element
Pk triangle (k >= 1) are supported for 2D or 3D geometries. In these cases, the nodes of an high-order triangle are numbered as:
Note that high-order triangles have additional edge-nodes and face-nodes. These nodes are numbered as: first vertices, then edge-nodes, following the edge numbering order and orientation, and finally the face internal nodes, following the triangle lattice.
2 2 2 | + | + | + | + 7 6 9 8 5 4 | + 10 14 7 | + 8 9 5 11 12 13 6 | + | + | + 0-----3-----1 0---3---4---1 0--3--4--5--1 P2 P3 P4
This documentation has been generated from file fem/geo_element/triangle.icc