Hi
I read "vertex" as a geometrical vertex (intersection of two edges, or three planes non-parallel ...)
Vertex is for me asynonyme to Point when used for an geometrical Object (I distinguish a geometrical Object and a FEM Element = Domain, Boundary, possibly Edge, or Point which are made up once the geometry has been "analysed" = simplified)
Nodes are the limits (vertex or points in space) of the Mesh Elements.
While DoF is a combination of mesh elements, mesh nodes and discretization,
A 2nd order discretization, is close to saying you add a virtual node between each mesh physical node hence a triangle elements for one scalar depednent variable is of 3 DoF first order mesh elements and contain 6 Dofs for second order discretization
(pls check again, as I'm replying from my memory only, not having access to the docs from here, tonight ;)
--
Good luck
Ivar
I read "vertex" as a geometrical vertex (intersection of two edges, or three planes non-parallel ...)
Vertex is for me asynonyme to Point when used for an geometrical Object (I distinguish a geometrical Object and a FEM Element = Domain, Boundary, possibly Edge, or Point which are made up once the geometry has been "analysed" = simplified)
Nodes are the limits (vertex or points in space) of the Mesh Elements.
While DoF is a combination of mesh elements, mesh nodes and discretization,
A 2nd order discretization, is close to saying you add a virtual node between each mesh physical node hence a triangle elements for one scalar depednent variable is of 3 DoF first order mesh elements and contain 6 Dofs for second order discretization
(pls check again, as I'm replying from my memory only, not having access to the docs from here, tonight ;)
--
Good luck
Ivar