Non-linear time-dependent problem

[karthichockalingam]

Hello,

I am interested in solving a non-linear time-dependent problem in a fully implicit manner. The below non-linear heat conduction problem is something I would like to solve:

$\frac{d u}{d t}=\nabla \cdot(\kappa+\alpha u) \nabla u$

This is exactly what is being solved in ex16 however K is linearized using u from the previous time step. And K is formed using BilinearForm.

I came across this sample non-linear code gist in one of your issues which solves a non-linear diffusion problem that makes use of NonlinearForm.

How do I proceed to solve a time-dependent non-linear problem implicitly (say backward Euler) using NonlinearForm?

Thank you!
Karthik

cc @nmnobre

[vladotomov]

See example 10.