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

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

 F == 0
asked Oct 22, 2014 by Orange FEniCS Novice (470 points)

1 Answer

+1 vote
 
Best answer

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.

answered Oct 23, 2014 by martinal FEniCS User (2,800 points)
selected Oct 23, 2014 by Orange

Thanks for sparing time for answering my question.

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