On Mon, Mar 22, 2010 at 01:43:41PM +0100, Marie Rognes wrote: > Marie Rognes wrote: > >Anders Logg wrote: > >>On Mon, Mar 22, 2010 at 11:41:42AM +0100, Marie Rognes wrote: > >>>Anders Logg wrote: > >>>>On Mon, Mar 22, 2010 at 06:20:00PM +0800, Garth N. Wells wrote: > >>>>>On 22/03/10 16:42, Kristian Oelgaard wrote: > >>>>>>On 21 March 2010 21:32, Anders Logg <[email protected]> wrote: > >>>>>>>After Marie's latest addition of enriched spaces (and > >>>>>>>some discussion > >>>>>>>with Doug Arnold), it seems clear that our current > >>>>>>>notation V + W for > >>>>>>>mixed spaces is not optimal. > >>>>>>> > >>>>>>>Even though one may think of the operation of creating a "mixed > >>>>>>>function space" as a direct sum, > >>>>>>> > >>>>>>>X = {(v, 0) : v in V} \oplus {(0, w) : w in W}, > >>>>>>> > >>>>>>>it is more natural (and common) to think of it as a > >>>>>>>Cartesian product, > >>>>>>> > >>>>>>>X = V \times W = {(v, w) : v in V, w in W} > >>>>>>> > >>>>>>>It would therefore be more natural to use '*' instead of '+' as the > >>>>>>>operation for creating mixed elements/function spaces. > >>>>>>> > >>>>>>>That would free up '+' to be used for enriched spaces (which have > >>>>>>>recently been added), > >>>>>>> > >>>>>>>X = {v + w : v in V, w in W} > >>>>>>> > >>>>>>>The typical example would be to take V piecewise > >>>>>>>linears and W scaled > >>>>>>>P3 bubbles. > >>>>>>> > >>>>>>>In summary, the suggestion is to use the following notation: > >>>>>>> > >>>>>>>+ <--> + > >>>>>>>* <--> \times > >>>>>>> > >>>>>>>It's obvious this is better than what we have now which is > >>>>>>> > >>>>>>>+ <--> \oplus > >>>>>>>? <--> + > >>>>>>> > >>>>>>>Thoughts? > >>>>>>Agree. > >>>>>> > >>>>>Me too. > >>>>> > >>>>>Garth > >>>>ok. Let's change then. > >>>> > >>>>It will require changes in both UFL and FFC. Anyone up for it? > >>>I can fix ffc. > >> > >>I was hoping for that. :-) > >> > >>>(Have no permission for ufl) > >> > >>You do now. ;-) > >> > > > >Aka, I'll fix that too. > > > > Fixed: > > (a) ElementUnion is now called EnrichedElement. > > (b) (Old) V + Q --> (New) V * Q > > (c) V + Q = EnrichedElement(V, Q) > > > Now, PYDOLFIN needs updating...
Done. -- Anders
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