Quoting Shawn Walker <walker@xxxxxxxxxxxxxxx>:
Hello. I need to know how FFC orders P2 Lagrange nodes. I need to know
this in order to compare a FEM matrix that I created in another program.
For example, say you have one triangle with the following nodes:
[0 1 2 3 4 5]
Where is the #3 node in relation to the #0, #1, and #2 nodes? Is #3
opposite the #0 node?
Yes.
I usually look at the tabulate_dofs() function, for the P2 case:
dofs[0] = c.entity_indices[0][0];
dofs[1] = c.entity_indices[0][1];
dofs[2] = c.entity_indices[0][2];
unsigned int offset = m.num_entities[0];
dofs[3] = offset + c.entity_indices[1][0];
dofs[4] = offset + c.entity_indices[1][1];
dofs[5] = offset + c.entity_indices[1][2];
So you see that the first 3 dofs are the vertices, the next 3 are the midpoints
of the edges. Then you need to know the UFC ordering of edges to figure out
that e0 is the edge which does not contain vertex 0 (opposite to v0) etc.
Kristian
- Shawn
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