<jupyter_start><jupyter_text>Output in terminal like that:```Solving nonlinear variational problem.  Newton iteration 0: r (abs) = 6.806e-02 (tol = 1.000e-10) r (rel) = 1.000e+00 (tol = 1.000e-09)  Newton iteration 1: r (abs) = 6.633e-04 (tol = 1.000e-10) r (rel) = 9.746e-03 (tol = 1.000e-09)  Newton iteration 2: r (abs) = 7.493e-07 (tol = 1.000e-10) r (rel) = 1.101e-05 (tol = 1.000e-09)  Newton iteration 3: r (abs) = 3.171e-12 (tol = 1.000e-10) r (rel) = 4.659e-11 (tol = 1.000e-09)  Newton solver finished in 3 iterations and 3 linear solver iterations.```<jupyter_code>mesh
from fenics import *
from fenics_adjoint import *

n = 30
mesh = UnitSquareMesh(n, n)
V = VectorFunctionSpace(mesh, "CG", 2)

u = project(Expression(("sin(2*pi*x[0])", "cos(2*pi*x[1])"), degree=2),  V)
control = Control(u)

u_next = Function(V)
v = TestFunction(V)

nu = Constant(0.0001)

timestep = Constant(0.01)

F = (inner((u_next - u)/timestep, v)
     + inner(grad(u_next)*u_next, v)
     + nu*inner(grad(u_next), grad(v)))*dx

bc = DirichletBC(V, (0.0, 0.0), "on_boundary")

t = 0.0
end = 0.1
while (t <= end):
    solve(F == 0, u_next, bc)
    u.assign(u_next)
    t += float(timestep)

J = assemble(inner(u, u)*dx)
dJdu, dJdnu = compute_gradient(J, [control, Control(nu)])<jupyter_output><empty_output>
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