How to extract a linear system out of non-linear variational problem.

Question

Is there a way to extract a linear system from the non-linear Form:

 F == 0

Answer 1

A nonlinear form does not have one unique linear system associated with it.

You can linearize it for a Newton iteration step with automatic differentiation:

J = derivative(F, u)

But other than this you need to specify in clearer mathematical terms what you want to do.

Comments

Thanks for sparing time for answering my question.