Dear Seyed Ali,

what do you mean by "one element test"?

Really to compute on one single element ?

This can never work:

1. First of all the phase-field will not be resolved
    because of the regularization parameter eps.

2. This contradicts any idea of numerical methods
    to have a reasonable number of mesh elements
    and then do mesh refinement with as many mesh elements as possible
    (w.r.t. to memory and computational cost)
    in order to approach the underlying continuous problem.


Therefore, the short answer is: no - a one element test is not possible
and it is also not reasonable to envisage it.

Best regards,

Thomas

--
++--------------------------------------------++
Dr. Thomas Wick
Maitre de conferences / Assistant Professor

Centre de Mathematiques Appliquees (CMAP)
Ecole Polytechnique
91128 Palaiseau cedex, France

Email:  thomas.w...@cmap.polytechnique.fr
Phone:  0033 1 69 33 4579
www:    http://www.cmap.polytechnique.fr/~wick/
++--------------------------------------------++
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On 03/31/2017 04:39 PM, 'Seyed Ali Mohseni' via deal.II User Group wrote:
Dear Thomas,

I tried what you suggested and it works. Thank you :)
There is a slight problem though when I try to compute the same example with the same boundary conditions for the unit_square_4.inp file. I am trying to run a one element test using your phase-field approach. It works, but there is no residual value and next to it I obtain a -nan below Reduction. Is it possible to run a one element test with the same settings or do I have to modify something (such as rhs computations or boundary value functions)?

Kind regards,
Seyed Ali

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