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Message #01834
Re: New feature: integration over regions
A note to developers on this: You can no longer use
ufc::form::num_cell_domains() etc to check if a form has integrals of that
type. Instead use ufc::form::has_cell_integrals(). See the assemblers for
how to use these, and the UFC.cpp file. I've added some inline helper
functions to UFC.h, get_cell_integral(domain), which handle proper fallback
to default and removes some boilerplate code from the assemblers.
Martin
On 30 January 2013 12:32, Anders Logg <logg@xxxxxxxxx> wrote:
> ok.
>
> --
> Anders
>
> On Wed, Jan 30, 2013 at 12:31:25PM +0100, Martin Sandve Alnæs wrote:
> > Yes and yes. The dx() notation is just to be more explicit and
> > distinguish it from the old dx=dx(0) notation. I might add an optional
> > warning for uses like f*dx+g*dx(1), which could be forms intending
> > dx(0) or dx().
> > Martin
> >
> > On 30 January 2013 12:15, Anders Logg <[1]logg@xxxxxxxxx> wrote:
> >
> > On Wed, Jan 30, 2013 at 09:54:39AM +0100, Martin Sandve Alnæs wrote:
> > > In addition to integration over the entire domain, explained in
> > another
> > > post, we have introduced a concept called 'regions' in ufl. For
> > this
> > > post, assume a single mesh. Support for multiple meshes will get
> > some
> > > attention in the future.
> > > The ufl language changes for expressing domain relations is work
> > in
> > > progress, but some useful features are already possible in trunk.
> > We
> > > keep the concept of disjoint numbered subdomains, which can be
> > easily
> > > represented as a single meshfunction in dolfin, having a single
> > integer
> > > label for each cell. In addition we introduce the concept of a
> > region,
> > > which is the union of any number of subdomains. Thus regions of
> > one
> > > domain can be overlapping by including some of the same
> > subdomain(s).
> > > With some automatic symbolic manipulation in ufl, we can now
> > express
> > > integrals over overlapping regions with zero additional cost at
> > > assembly time.
> >
> > Nice!
> >
> > > Here's the currently simplest syntax for integrals over regions:
> > > # Define regions as tuples of subdomain labels
> > > DL, DM, DR = (1,2), (2,), (2,3) # ***
> >
> > I guess 'DM = 2' will also work fine here? It will be passed to
> > dx(DM)
> > so that will result in an integral over subdomain 2.
> >
> > > # Define new measures associated with the interior domains
> > > dx = Measure("dx")[domains]
> > > # Make forms for equation
> > > a = u*v*dx() + alpha*dot(grad(u), grad(v))*dx() # Integrals over
> > entire
> > > domain
> >
> > Is the '()' necessary here in 'dx()'? Will it work with just dx?
> >
> > > L = f*v*dx(DR) + g*v*dx(DL) - (f+g)/2*v*dx(DM) # Integrals over
> > regions
> > > For the full running code, see this demo in the latest dolfin:
> > >
> > >
> >
> demo/undocumented/overlapping-regions/python/demo_overlapping-regions.p
> > > y
> > > Martin
> >
> > > _______________________________________________
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> >
> > Referenser
> >
> > 1. mailto:logg@xxxxxxxxx
> > 2. https://launchpad.net/~fenics
> > 3. mailto:fenics@xxxxxxxxxxxxxxxxxxx
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> > 5. https://help.launchpad.net/ListHelp
>
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