If you don't have a bifurcation you can just write a loop around your
solver and ramp up your parameter each "step".

John: does the ContinuationSystem offer any advantages in this case?

Derek
On Mon, Jun 6, 2016 at 11:27 AM John Peterson <jwpeter...@gmail.com> wrote:

> On Fri, Jun 3, 2016 at 1:34 PM, Harriet Li <kame...@gmail.com> wrote:
>
> > Hello all,
> >
> > I'm looking to solve a nonlinear problem where the nonlinearity is
> > controlled by some parameter. The Newton solver does not converge at the
> > desired parameter value without a better initial guess than I have.
> >
> > Is this a problem I can apply the ContinuationSystem class to? Can I
> solve
> > the problem at an initial parameter value and use the class's methods to
> > work towards a solution at a designated final parameter value? (I don't
> see
> > a way to tell the continuation where to stop...)
> >
>
> The ContinuationSystem can be used for this.
>
> Note that it does arclength continuation (see the Keller reference in
> continuation_system.h) so it might be overkill for what you are doing if
> there are no turning points/bifurcations in the nonlinear system (i.e. you
> just want to slowly ramp up the nonlinear parameter and re-solve the system
> multiple times).  As far as when it should "stop", this is controlled by
> the
>
> Real min_continuation_parameter;
> Real max_continuation_parameter;
>
> parameters in the class.
>
> --
> John
>
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