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Re: Dealing with incomplete UFL finite elements

 

On Fri, Apr 29, 2011 at 10:54:12AM +0200, Anders Logg wrote:
> On Fri, Apr 29, 2011 at 09:52:25AM +0100, Garth N. Wells wrote:
> >
> >
> > On 29/04/11 09:50, Anders Logg wrote:
> > > On Fri, Apr 29, 2011 at 10:31:07AM +0200, Martin Sandve Alnæs wrote:
> > >> On 29 April 2011 10:20, Anders Logg <logg@xxxxxxxxx> wrote:
> > >>> On Fri, Apr 29, 2011 at 09:15:51AM +0100, Garth N. Wells wrote:
> > >>>>
> > >>>>
> > >>>> On 29/04/11 08:58, Martin Sandve Alnæs wrote:
> > >>>>> On 29 April 2011 09:35, Anders Logg <logg@xxxxxxxxx> wrote:
> > >>>>>> On Thu, Apr 28, 2011 at 10:48:28PM +0100, Garth N. Wells wrote:
> > >>>>>>>
> > >>>>>>>
> > >>>>>>> On 28/04/11 22:17, Anders Logg wrote:
> > >>>>>>>> On Thu, Apr 28, 2011 at 12:55:02PM +0200, Martin Sandve Alnæs wrote:
> > >>>>>>>>> On 28 April 2011 11:45, Garth N. Wells <gnw20@xxxxxxxxx> wrote:
> > >>>>>>>>>>
> > >>>>>>>>>>
> > >>>>>>>>>> On 27/04/11 20:50, Johan Hake wrote:
> > >>>>>>>>>>> On Wednesday April 27 2011 12:45:46 Martin Sandve Alnæs wrote:
> > >>>>>>>>>>>> On 27 April 2011 21:34, Anders Logg <logg@xxxxxxxxx> wrote:
> > >>>>>>>>>>>>> On Wed, Apr 27, 2011 at 09:30:08PM +0200, Martin Sandve Alnæs wrote:
> > >>>>>>>>>>>>>> 2011/4/27 Johan Hake <johan.hake@xxxxxxxxx>
> > >>>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     On Wednesday April 27 2011 12:03:56 Martin Sandve Aln s wrote:
> > >>>>>>>>>>>>>>     > On 27 April 2011 19:07, Garth N. Wells <gnw20@xxxxxxxxx> wrote:
> > >>>>>>>>>>>>>>     > > I'm starting here a new thread on how to deal with the recent
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> change in
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     > > UFL that has broken a good number of DOLFIN demos. The previous
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> thread
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     > > meandered and got side-tracked.
> > >>>>>>>>>>>>>>     > >
> > >>>>>>>>>>>>>>     > > The framework in we need to operate is:
> > >>>>>>>>>>>>>>     > >
> > >>>>>>>>>>>>>>     > > A. UFL will not allow forms to be modified post-construction.
> > >>>>>>>>>>>>>>     > >
> > >>>>>>>>>>>>>>     > > B. It should be relatively easy to replace ufl.Coefficients in
> > >>>>>>>>>>>>>>     > > a
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> form
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     > > and return a new form.
> > >>>>>>>>>>>>>>     > >
> > >>>>>>>>>>>>>>     > > C. The issue with replacing ufl.Coefficients is that we lose
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> DOLFIN
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     data
> > >>>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     > > (like the eval() functions) associated with the removed
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> coefficients.
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     > > I'll kick off with the obvious solution:
> > >>>>>>>>>>>>>>     > >
> > >>>>>>>>>>>>>>     > > 1. Require that all DOLFIN Expressions are associated with a
> > >>>>>>>>>>>>>>     > > ufl.FiniteElement.
> > >>>>>>>>>>>>>>     > >
> > >>>>>>>>>>>>>>     > > Other solutions?
> > >>>>>>>>>>>>>>     > >
> > >>>>>>>>>>>>>>     > > Garth
> > >>>>>>>>>>>>>>     >
> > >>>>>>>>>>>>>>     > 2.  At the stage when ffc calls ufl.preprocess, or even in
> > >>>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     ufl.preprocess,
> > >>>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     > let the preprocessed form contain ufl Coefficients with new
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> elements in
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     > place of the dolfin.Expressions. This is similar to the
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> replacements done
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     > for renumbering of Coefficients, and could either be done
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> simultaneously
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     or
> > >>>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     > as an additional step. The original Form and Expression objects
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> will be
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     > untouched, and the preprocessed form will be fine.
> > >>>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     +
> > >>>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     However, setting cell and degree is done during analysis and relies
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> on
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     form_data. The form is also preprocessed when the form_data is
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> extracted.
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     This
> > >>>>>>>>>>>>>>     means that for the preprocessed form to get correct signature, cell
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> and
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>>     degrees being set, we need to break up the logic.
> > >>>>>>>>>>>>>>
> > >>>>>>>>>>>>>>      1) extract form_data
> > >>>>>>>>>>>>>>      2) set degree and cell
> > >>>>>>>>>>>>>>      3) genererate preprocessed form
> > >>>>>>>>>>>>>>
> > >>>>>>>>>>>>>> Lets figure out the exact algorithm if we need it. It could perhaps be
> > >>>>>>>>>>>>>> integrated better with preprocess. Or it might be better to extract
> > >>>>>>>>>>>>>> just
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> the
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>> information needed to determine degree and cell first, and pass the
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> element
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>>> replacements to preprocess.
> > >>>>>>>>>>>>>
> > >>>>>>>>>>>>> That's what I suggested in an earlier mail. Preprocess already gets
> > >>>>>>>>>>>>> common_cell. We could also figure out common_degree before calling
> > >>>>>>>>>>>>> preprocess but that requires getting the data stored in
> > >>>>>>>>>>>>> form_data.sub_elements.
> > >>>>>>>>>>>>
> > >>>>>>>>>>>> Extracting all sub elements from a form before preprocessing should be easy
> > >>>>>>>>>>>> and efficient.
> > >>>>>>>>>>>>
> > >>>>>>>>>>>> I assume it's still possible to construct an Expression with a specific
> > >>>>>>>>>>>> FunctionSpace?
> > >>>>>>>>>>>
> > >>>>>>>>>>> Yes.
> > >>>>>>>>>>>
> > >>>>>>>>>>
> > >>>>>>>>>> So it seems we've reached a solution that won't require any changes to
> > >>>>>>>>>> DOLFIN, and only minimal changes to FFC. The story is:
> > >>>>>>>>>>
> > >>>>>>>>>> 1. UFL will permit elements without a cell and without a degree. The
> > >>>>>>>>>> will leads an error for some operations, like grad and div.
> > >>>>>>>>>>
> > >>>>>>>>>> 2. Add a function to UFL to extract all sub-elements from a form.
> > >>>>>>>>
> > >>>>>>>> The functionality is already there since this is already extracted in
> > >>>>>>>> the preprocess function.
> > >>>>>>>>
> > >>>>>>>
> > >>>>>>> We need a function to do this before preprocess in order to pass the
> > >>>>>>> cell and element types to the preprocess function.
> > >>>>>>
> > >>>>>> Yes, but as I just said, we already do that inside preprocess (by
> > >>>>>> calling extract_sub_elements) so the functionality is already there to
> > >>>>>> be used.
> > >>>>>>
> > >>>>>>>>>> 3. Add 'unspecified_elements=[]' (perhaps a dict?) to the argument list
> > >>>>>>>>>> of ufl.algorithms.preprocess.
> > >>>>>>>>
> > >>>>>>>> Not sure if this is needed.
> > >>>>>>>>
> > >>>>>>>>>> 4. For coefficients with incomplete elements, preprocess will replace
> > >>>>>>>>>> these with coefficients based on elements from the list
> > >>>>>>>>>> 'unspecified_elements'. The new form will be the 'preprocessed form'.
> > >>>>>>>>>>
> > >>>>>>>>>> Is that it? Anything else?
> > >>>>>>>>>>
> > >>>>>>>>>> Garth
> > >>>>>>>>>
> > >>>>>>>>> I think that should be all.
> > >>>>>>>>
> > >>>>>>>> I think all we need to do (in FFC) is to
> > >>>>>>>>
> > >>>>>>>> 1. extract the minimal amount of data we need to decide the undecided
> > >>>>>>>> degree and cell (essentially building the list of elements)
> > >>>>>>>>
> > >>>>>>>> 2. select the degree and cell (as we do today)
> > >>>>>>>>
> > >>>>>>>> 3. pass the degree and cell to compute_form_data (and thus to
> > >>>>>>>> preprocess)
> > >>>>>>>>
> > >>>>>>>
> > >>>>>>> Related to my point 3, to keep UFL general, I think that the element
> > >>>>>>> should be passed, and not just the degree. It is conceivable that
> > >>>>>>> something other than continuous Lagrange elements could be used, which
> > >>>>>>> is why an element rather than a degree should be supplied.
> > >>>>>>
> > >>>>>> I'd prefer if we just got the current functionality in place first
> > >>>>>> (without using the now banned set_foo functions) before we make any
> > >>>>>> such extensions. I can have a shot at this. If we want to extend it to
> > >>>>>> other types of elements, we need to have a long discussion on how to
> > >>>>>> choose the element type before we proceed.
> > >>>>>
> > >>>>
> > >>>> I don't see the relevance of this. FFC can just create Lagrange elements
> > >>>> of a given degree to pass to UFL. We don't need to discuss the element
> > >>>> type at this stage.
> > >>>
> > >>> It's harder than that since we may have both scalar and vector-valued
> > >>> elements.
> > >>
> > >> You have to deal with construction of scalar or vector-valued elements
> > >> anyway.
> > >
> > > Yes, but my point was that it's not enough to extract a common element
> > > since there may already be scalar and vector valued elments involved.
> > >
> > >> It's just a matter of whether this construction is done at the
> > >> ffc or ufl side. The reconstruct pattern I mentioned in another mail
> > >> is one way to implement the construction at the ufl side, but that can
> > >> just as well be called from ffc.
> > >>
> > >>> Would it be enough for now to extract the following to send to UFL:
> > >>>
> > >>>  common_cell
> > >>>  common_family
> > >>>  common_degree
> > >>>
> > >>> ?
> > >>
> > >> Extract that and then do something like
> > >>     element_mapping = {}
> > >>     for oldelement in elements:
> > >>         newelement = oldelement.reconstruct(family=common_family,
> > >> cell=common_cell, degree=common_degree)
> > >>         element_mapping[oldelement] = newelement
> > >>     fd = preprocess(form, element_mapping=element_mapping)
> > >> from ffc, then experimentation with other element types can be done
> > >> later in ffc without updating ufl.
> > >
> > > Looks good.
> > >
> >
> > Who's going to start where, and when?
>
> I can try after lunch. I have a book to finish first. :-)

Book took longer than expected so it's likely I won't have time to fix
this today. Maybe sometime during the weekend but Monday is more likely.

--
Anders




References