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Message #12000
Re: Dirichlet Boundary conditions revisited
On Mon, Feb 09, 2009 at 11:58:28AM +0100, Kent Andre wrote:
>
> Is it the code in DofMap that is not understandable ?
>
> The idea behind the code is that the dof_map provides a numbering
> of the unknowns ie. the global dofs are D = [0, 1, .....N-1].
> In the restricted function space we need a corresponding numbering
> R = [0, 1, .... M-1] where M < N.
>
> The code in restriction is such that it runs through all dofs in the
> restricted mesh (as it is now by runing through the whole mesh except
> for the ones marked by the meshfunction). I run through all the dofs
> and for each dof I check the dof in the global mesh, If I already have
> seen this dof I use the same dof_number as last time (stored in
> R[dofs[k]]). If the dof is new I update the dof_counter and add
> the new dof to R. By doing this I get a new dof_map where each
> node is numbered in an increasing sequence.
>
> Check also the demo under dolfin/demo/function/restriction. You can eg.
> probably begin by changing demo.
>
>
> Kent
The demo looks a little unfinished. Could you move it to
dolfin/demo/function/restriction/python/demo.py
then add the copyright headers etc like in the other demos, clean it
up a little, add a C++ version in the cpp directory (or a copy of the
README file from other demos where the C++ version is missing). You
can also move it to the sandbox until it's finished.
--
Anders
>
> On ma., 2009-02-09 at 11:20 +0200, Evan Lezar wrote:
> > Kent
> >
> > Thanks for the reply. I have started to have a look at the code to
> > make the changes that you suggested, but must admit that I am a little
> > lost.
> >
> > I will continue to work on it, but any other tips would be greatly
> > appreciated.
> >
> > Thanks
> > Evan
> >
> > On Wed, Feb 4, 2009 at 10:50 PM, <kent-and@xxxxxxxxx> wrote:
> >
> > Hi,
> >
> > Here are my rough thoughts on it.
> >
> > In FunctionSpace there is a function restriction which creates
> > a
> > (restricted) DofMap based
> > on a mesh, a ufc:.dofmap and a MeshFunction. The way I have
> > implemented,
> > this function is such that the MeshFunction contains booleans
> > that
> > indicates which cells
> > that should be used in the DofMap. It could equally well be
> > vertices or other
> > mesh entities, but the way restriction is implemented now, it
> > has to be
> > cells.
> > It should however be relatively easy to change it to other
> > entities (I
> > think).
> > Changing this would give a loc2glob array which contains -1
> > for the entries
> > that should not be used. As I understand, petsc will then
> > avoid these entries
> > so it might work, at least for petsc, with only this
> > alteration in the
> > function restriction.
> >
> > Kent
> >
> >
> > > Hi
> > >
> > > Since I last rasied this issue there have been a lot of
> > changes (great
> > > ones
> > > I must add) to the fenics codebase, so I thought I would ask
> > again.
> > >
> > > I am interested in removing the rows and columns of the
> > finite element
> > > matrices (for vector electromagnetic problems) associated
> > with zero valued
> > > Dirichlet boundary conditions. It is important that the
> > original degrees
> > > of
> > > freedom (or a mapping between the two sets) be available so
> > that the
> > > solution of a system of equations or an eigenvalue problem
> > can be used to
> > > visualize the solution, for example.
> > >
> > > The removal of the degrees of freedom has two advantages
> > that I can think
> > > of
> > > (for my applications at any rate). The first is that the
> > systems being
> > > solved will be smaller. The second is of particular concern
> > to me as I am
> > > often solving eigenvalue problems and the unity eigenvalues
> > that are
> > > introduce when applying the Dirichlet BCs in their current
> > form
> > > contaminate
> > > the spectrum in many of my examples.
> > >
> > > Any thoughts or assistance would be greatly appreciated.
> > >
> > > Thanks
> > > Evan
> >
> > > _______________________________________________
> > > DOLFIN-dev mailing list
> > > DOLFIN-dev@xxxxxxxxxx
> > > http://www.fenics.org/mailman/listinfo/dolfin-dev
> > >
> >
> >
> >
>
> _______________________________________________
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