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Message #12063
Re: Dirichlet Boundary conditions revisited
On Mon, Feb 9, 2009 at 1:05 PM, Anders Logg <logg@xxxxxxxxx> wrote:
> 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
>
>
Regarding the demo.
I have just tried to run it, and it fails with Petsc reporting a
Segmentation Violation.
Evan
>
> >
> > 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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> > DOLFIN-dev@xxxxxxxxxx
> > http://www.fenics.org/mailman/listinfo/dolfin-dev
>
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