First of all, Thank you very much for your kind reply.

> you mean physically move the triangulation to change the spatial position 
> of the interface between two different materials, then this is also 
> possible. Look at step-18 
> <https://www.dealii.org/developer/doxygen/deal.II/step_18.html#TopLevelmove_mesh>
>  
> for further information.
>
> I hope that this helps.
>

step-18 doesn't contain the set_material_id. But, in the manual,it is said 
step-28 is good to learn this function.

So, is it better for me to study step-28 than step-18? 

Or, both examples would help for me to solve my problem(change of boundary 
between two different materials during iteration)?

Thank you.

Kyusik. 

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