Step-15 uses a fixed alpha = 0.1, but in the suggestions it is proposed to 
increase alpha to 1, when suitable in order to increase convergence. I am 
also using a fixed alpha of 0.1 at the moment, thus it will never go to 
zero.

Am Freitag, 6. Oktober 2017 15:27:40 UTC+2 schrieb Wolfgang Bangerth:
>
> On 10/06/2017 07:20 AM, 'Maxi Miller' via deal.II User Group wrote: 
> > Isn't that basically the method done in step-15 and step-33 (line 
> search)? But 
> > why should my step length (I assume it is alpha) go to zero? Or is it 
> the 
> > newton-update (which also should go to zero, when being close to the 
> solution)? 
>
> The step length is alpha in 
>
>    u_{n+1} = u_n + alpha delta u_n 
>
> I don't think step-15 uses a line search (i.e., it *always* uses alpha=1). 
> I 
> don't recall about step-33. 
>
> Your question "why should my step length (I assume it is alpha) go to 
> zero?" 
> Is the wrong one. Maybe it shouldn't. The question is whether it does. 
> Debugging is all about understanding that what you *think is true* is 
> apparently not true. So you have to test hypotheses. 
>
> Best 
>   W. 
>
> -- 
> ------------------------------------------------------------------------ 
> Wolfgang Bangerth          email:                 bang...@colostate.edu 
> <javascript:> 
>                             www: http://www.math.colostate.edu/~bangerth/ 
>
>

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