libadjoint team mailing list archive

[Patrick Farrell <patrick.farrell06@xxxxxxxxxxxxxx>]

On 11/06/12 11:05, Marie E. Rognes wrote:
> However, one comment: do we really have any underlying continuous
> representation of, say, 'u' over the time interval (0, T)? As far as
> I understand, what we've got is a set/sequence of {u_k} and a set of
> times {t_i}. Any integration will be some form of guess of what these
> u_k corresponds to, right? I guess what I'm asking is how you can
> deduce an integral from a sequence of fields which are decoupled from
> the original (time-dependent) pde.

That's where you need some notion of what basis function is used in
space. If you have the values of the function at certain times, and
want to integrate it, you need to have some expansion of it. So I'm
not sure that this work is so decoupled from DOLFIN's spacetime work ..

Patrick