Hi,
I am interesting in solving elliptic problems where there is a
Dirichlet condition on internal nodes. It seems like this isn't
possible with the default DirichletBC class in firedrake - is that
right and is there a nice work around?
My example is to do with remeshing and moving meshes. Consider the
situation from
https://www.firedrakeproject.org/demos/immersed_fem.py.html and
suppose the want to recompute the mesh coordinates by solving
-Delta x = 0 in Omega_{1,2}
x = x_g on the interface and outside boundary
where x_g is the parametrisation on the interface which we want to
be exactly given.
We have access to all the tags but this information doesn't change
the solution. A couple of alternatives:
- use a Nitsche-type approach - this does ok but I would prefer to
not have this extra parameter unnecessarily.
- we can find the nodes which we are on the interface but I don't
know how to change the matrices/vectors to use this info.
Can you help?
Thanks,
Tom