Anders Logg wrote:
On Wed, Dec 02, 2009 at 02:34:15AM +0100, Marie Rognes wrote:
Anders Logg wrote:
What is the preferred mathematical notation for
FunctionSpace(mesh, "CG"/"DG", k)
in the book?
The most consistent with the current notation in the book (in chapter
"Common and unusual finite elements") would be P_q(\mathcal{T}).
But then we have to differentiate between continuous and
discontinuous. Your suggestion
P^c_q(\mathcal{T}) (continuous)
P^d_q(\mathcal{T}) (discontinuous)
sounds good to me.
Actually I suggest
P^c_q(\mathcal{T}) (continuous)
P_q(\mathcal{T}) (discontinuous)
(no superscript for the discontinuous ones)
Yes, but I added the "d". :-)
Isn't it natural to add it to be explicit? One could argue that it's
more natural for the space to be continuous so it should really be
P and P^d... so perhaps it is fair with a superscript for both?
I read P_q(\mathcal{T}) as: piecewise polynomials of degree q (piecewise
as in defined relative to \mathcal{T}) -- hence no continuity imposed.
But that might just old conditioning...
Having a superscript for both is definitely the most explicit version --
but might be considered superfluous (wrt to the principle of: less
notation is better notation ;) ).
--
Marie
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