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Message #23596
Re: [Question #159694]: Nonlinear 1-d convection diffusion
What version of DOLFIN do you use. Just run
dolfin-version
from the command prompt. The itnerface of VariationalProblem has changed
recently and it seams as you might have an older version.
Johan
On Monday May 30 2011 21:05:47 Praveen C wrote:
> New question #159694 on DOLFIN:
> https://answers.launchpad.net/dolfin/+question/159694
>
> Hello
> This is my first attempt at dolfin. I am solving a 1-d convection-diffusion
> equation
>
> (u^2/2)_x - u_xx = f
> u(0) = u(1) = 0
>
> So I do the following
>
>
> # Create mesh and function space
> mesh = UnitInterval(50)
> V = FunctionSpace(mesh, "CG", 1)
>
> # Sub domain for Dirichlet boundary condition
> def DirichletBoundary(x):
> return x[0] < DOLFIN_EPS or x[0] > 1.0 - DOLFIN_EPS
>
> # Define variational problem
> u = Function(V)
> f = Expression("10.0*x[0]*(1.0-x[0])*sin(x[0])")
>
> du = TrialFunction(V)
> v = TestFunction(V)
>
> F = (-0.5*u**2*grad(v) + dot(grad(u), grad(v)))*dx - f*v*dx
> dF= derivative(F, u, du)
>
> # Define boundary condition
> u0 = Constant(0.0)
> bc = DirichletBC(V, u0, DirichletBoundary)
>
> problem = VariationalProblem(F, dF, bc)
> u = problem.solve()
>
> But this gives me following error
>
> RuntimeError: *** Error: Unable to extract trial space for solution of
> variational problem, is 'a' bilinear?
>
> Can you help me with this please ?
>
> Thanks
> praveen
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