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Message #17951
[Question #105698]: Solving a problem with only Neumann boundary conditions
New question #105698 on DOLFIN:
https://answers.launchpad.net/dolfin/+question/105698
Dear all
I'm trying to solve the following problem:
-d/dx(du/dx) - (du/dx)^3 = 0 on 0 < x < 1
subject to the following bcs:
@ x= 0: du/dx + u = 3/sqrt(2)
@ x = 1: du/dx = 0.5
I have in my ufl file:
L = inner(grad(v), grad(u))*dx - v*( (u.dx(0))**3 )*dx - v*((1.5*sqrt(2)-u))*ds(0) - v*(0.5)*ds(1)
I assume that ufl doesn't know about the boundaries, so in main.cpp, I have marked them like so:
MeshFunction<dolfin::uint> boundaries(mesh, mesh.topology().dim()-1);
LeftNeumannBoundary boundaryL;
boundaryL.mark(boundaries, 0);
RightNeumannBoundary boundaryR;
boundaryR.mark(boundaries, 1);
The problem is how to use the VariationalProblem class. It requires the dirichlet bc, the cell_domains, the interior and exterior_facet_domains.
How can I use VariationalProblem without specifying the dirichlet bc?
Thanks
Jack
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