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Re: [UFL-dev] [HG UFL] Added ElementRestriction class with notation 'Vr = V[dx(k)]'.

 

Quoting Anders Logg <logg@xxxxxxxxx>:

> On Tue, Jul 07, 2009 at 10:23:30PM +0200, Martin Sandve Alnæs wrote:
> > On Tue, Jul 7, 2009 at 9:47 PM, Anders Logg<logg@xxxxxxxxx> wrote:
> > > On Tue, Jul 07, 2009 at 08:48:17PM +0200, Martin Sandve Alnæs wrote:
> > >> On Tue, Jul 7, 2009 at 5:52 PM, Kristian
> > >> Oelgaard<k.b.oelgaard@xxxxxxxxxx> wrote:
> > >> > Quoting Martin Sandve Alnæs <martinal@xxxxxxxxx>:
> > >> >
> > >> >> On Wed, Jun 17, 2009 at 5:15 PM, Anders Logg<logg@xxxxxxxxx> wrote:
> > >> >> > On Wed, Jun 17, 2009 at 03:32:03PM +0200, UFL wrote:
> > >> >> >> One or more new changesets pushed to the primary ufl repository.
> > >> >> >> A short summary of the last three changesets is included below.
> > >> >> >>
> > >> >> >> changeset:   908:ef256e35e417096ae9b9d3a7e915e27e6971ae3f
> > >> >> >> tag:         tip
> > >> >> >> user:        "Martin Sandve Alnæs <martinal@xxxxxxxxx>"
> > >> >> >> date:        Wed Jun 17 15:32:01 2009 +0200
> > >> >> >> files:       test/newtests/test_demos/test_demos.py
> > >> >> test/newtests/test_elements/test_elements.py
> > >> >> test/newtests/test_exprbasics/test_construction.py ufl/__init__.py
> > >> >> ufl/exproperators.py ufl/finiteelement.py ufl/function.py
> > >> >> >> description:
> > >> >> >> Added ElementRestriction class with notation "Vr = V[dx(k)]".
> > >> >> >
> > >> >> > What does this mean? What is V?
> > >> >> >
> > >> >>
> > >> >> The restriction of a function space to a domain.
> > >> >> Obviously the use of the measure "dx" is an
> > >> >> abuse of concepts, but it's convenient to reuse it.
> > >> >>
> > >> >> Consider:
> > >> >>
> > >> >> V1 = FiniteElement("CG", cell, 1)
> > >> >> V0 = FiniteElement("DG", cell, 0)
> > >> >> V = V1 + V0[ds(2)]
> > >> >> u, lamda = TrialFunctions(V)
> > >> >>
> > >> >> Here lamda lives only on boundary 2.
> > >> >>
> > >> >> Of course, this is useless without support in the rest of
> > >> >> FEniCS, so it's only a proof of concept for input syntax.
> > >> >>
> > >> >> Feel free to suggest alternative syntax and naming.
> > >> >
> > >> > First of all, any ideas on how to implement support for this in say
> FFC?
> > >>
> > >> No. It will probably require non-trivial extensions to
> > >> UFC and DOLFIN as well, and seems like a fairly
> > >> complicated design task to get it general enough.
> > >>
> > >> > In relation to this new functionality.
> > >> > If we want to restrict an element, not to a particular subdomain, but
> to the
> > >> > exterior of each element, i.e., only consider the dofs that live on
> facets,
> > >> > would that also fit in this framework?
> > >> > Should the syntax for this be V[ds + dS]?
> > >> > But then what should the syntax be for only considering dofs that live
> > >> > internally on the cell?
> > >> >
> > >> > Or, if V is defined on 'triangle', then one could do
> > >> > V['interval'] to get the facet dofs, and V['triangle'] to get the
> interior dofs.
> > >> > It would even be possible to do V['vertex']. If we also allow this
> syntax we can
> > >> > restrict elements with respect to either Cells or Measure.
> > >> > Could this work?
> > >> >
> > >> > How can this be implemented in FFC? In the case of V['interval'], we
> could get
> > >> > the finite element from FIAT as usual, and then find all dofs NOT on
> the facet
> > >> > and dump them in a list of dofs that should be ignored when generating
> all the
> > >> > code.
> > >> >
> > >> > Kristian
> > >>
> > >> The use of Measure to represent a domain didn't feel
> > >> right to begin with. Seems like it's not general enough
> > >> anyway, so I suggest designing a separate abstraction
> > >> for description of subdomains or subsets of dofs.
> > >>
> > >> My guess is that this task will require some
> > >> design iterations to make it good.
> > >>
> > >> I won't be around to see this through though,
> > >> since I'm beginning in another job in august.
> > >
> > > Where?
> > >
> >
> > At TANDBERG, as audio programmer for video conferencing systems.
> >
> > Martin
>
> Sounds cool, but I'm very sorry we will loose the designer, maintainer
> and driving force behind UFL/UFC. Do you plan to be involved with UFL
> or UFC in any way?

You almost make it sound like he actually has a choice.... :)

Kristian

> --
> Anders
>




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